diff --git a/examples/extent-constrained.html b/examples/extent-constrained.html
new file mode 100644
index 0000000000..7c228d6c1b
--- /dev/null
+++ b/examples/extent-constrained.html
@@ -0,0 +1,9 @@
+---
+layout: example.html
+title: Constrained Extent
+shortdesc: Example of a view with a constrained extent.
+docs: >
+  This map has a view that is constrained in an extent.  This is done using the `extent` view option. Please note that specifying `restrictOnlyCenter: true` would only apply the extent restriction to the view center.
+tags: "view, extent, constrain, restrict"
+---
+<div id="map" class="map"></div>
diff --git a/examples/extent-constrained.js b/examples/extent-constrained.js
new file mode 100644
index 0000000000..8fc6e68c77
--- /dev/null
+++ b/examples/extent-constrained.js
@@ -0,0 +1,25 @@
+import Map from '../src/ol/Map.js';
+import View from '../src/ol/View.js';
+import TileLayer from '../src/ol/layer/Tile.js';
+import OSM from '../src/ol/source/OSM.js';
+import {defaults as defaultControls} from '../src/ol/control/util';
+import ZoomSlider from '../src/ol/control/ZoomSlider';
+
+const view = new View({
+  center: [328627.563458, 5921296.662223],
+  zoom: 8,
+  extent: [-572513.341856, 5211017.966314,
+    916327.095083, 6636950.728974]
+});
+
+new Map({
+  layers: [
+    new TileLayer({
+      source: new OSM()
+    })
+  ],
+  keyboardEventTarget: document,
+  target: 'map',
+  view: view,
+  controls: defaultControls().extend([new ZoomSlider()])
+});
diff --git a/src/ol/View.js b/src/ol/View.js
index ee0cbb1eb4..4c03566bdc 100644
--- a/src/ol/View.js
+++ b/src/ol/View.js
@@ -92,7 +92,9 @@ import Units from './proj/Units.js';
  * used. The `constrainRotation` option has no effect if `enableRotation` is
  * `false`.
  * @property {import("./extent.js").Extent} [extent] The extent that constrains the
- * center, in other words, center cannot be set outside this extent.
+ * view, in other words, nothing outside of this extent can be visible on the map
+ * @property {boolean} [constrainOnlyCenter] If true, the extent
+ * constraint will only apply to the center and not the whole view.
  * @property {number} [maxResolution] The maximum resolution used to determine
  * the resolution constraint. It is used together with `minResolution` (or
  * `maxZoom`) and `zoomFactor`. If unspecified it is calculated in such a way
@@ -473,8 +475,7 @@ class View extends BaseObject {
 
       if (options.zoom !== undefined) {
         animation.sourceResolution = resolution;
-        animation.targetResolution = this.constrainResolution(
-          this.maxResolution_, options.zoom - this.minZoom_, 0);
+        animation.targetResolution = this.getResolutionForZoom(options.zoom);
         resolution = animation.targetResolution;
       } else if (options.resolution) {
         animation.sourceResolution = resolution;
@@ -675,7 +676,15 @@ class View extends BaseObject {
   constrainResolution(resolution, opt_delta, opt_direction) {
     const delta = opt_delta || 0;
     const direction = opt_direction || 0;
-    return this.constraints_.resolution(resolution, delta, direction);
+
+    const size = this.getSizeFromViewport_();
+    const rotation = this.getRotation() || 0;
+    const rotatedSize = [
+      Math.abs(size[0] * Math.cos(rotation)) + Math.abs(size[1] * Math.sin(rotation)),
+      Math.abs(size[0] * Math.sin(rotation)) + Math.abs(size[1] * Math.cos(rotation))
+    ];
+
+    return this.constraints_.resolution(resolution, delta, direction, rotatedSize);
   }
 
   /**
@@ -1167,15 +1176,28 @@ class View extends BaseObject {
 
   /**
    * Recompute rotation/resolution/center based on target values.
+   * Note: we have to compute rotation first, then resolution and center considering that
+   * parameters can influence one another in case a view extent constraint is present.
    * @param {boolean=} opt_doNotCancelAnims Do not cancel animations.
    * @param {boolean=} opt_forceMoving Apply constraints as if the view is moving.
    * @private
    */
   applyParameters_(opt_doNotCancelAnims, opt_forceMoving) {
     const isMoving = this.getAnimating() || this.getInteracting() || opt_forceMoving;
+
+    // compute rotation
     const newRotation = this.constraints_.rotation(this.targetRotation_, 0, isMoving);
-    const newResolution = this.constraints_.resolution(this.targetResolution_, 0, 0, isMoving);
-    const newCenter = this.constraints_.center(this.targetCenter_, isMoving);
+
+    // compute viewport size with rotation
+    const size = this.getSizeFromViewport_();
+    const rotation = this.getRotation() || 0;
+    const rotatedSize = [
+      Math.abs(size[0] * Math.cos(rotation)) + Math.abs(size[1] * Math.sin(rotation)),
+      Math.abs(size[0] * Math.sin(rotation)) + Math.abs(size[1] * Math.cos(rotation))
+    ];
+
+    const newResolution = this.constraints_.resolution(this.targetResolution_, 0, 0, rotatedSize, isMoving);
+    const newCenter = this.constraints_.center(this.targetCenter_, newResolution, rotatedSize, isMoving);
 
     this.set(ViewProperty.ROTATION, newRotation);
     this.set(ViewProperty.RESOLUTION, newResolution);
@@ -1215,8 +1237,16 @@ class View extends BaseObject {
     const direction = opt_direction || 0;
     const currentRes = this.getResolution();
     const currentZoom = this.getZoom();
+
+    const size = this.getSizeFromViewport_();
+    const rotation = this.getRotation() || 0;
+    const rotatedSize = [
+      Math.abs(size[0] * Math.cos(rotation)) + Math.abs(size[1] * Math.sin(rotation)),
+      Math.abs(size[0] * Math.sin(rotation)) + Math.abs(size[1] * Math.cos(rotation))
+    ];
+
     return this.getZoomForResolution(
-      this.constraints_.resolution(currentRes, targetZoom - currentZoom, direction));
+      this.constraints_.resolution(currentRes, targetZoom - currentZoom, direction, rotatedSize));
   }
 }
 
@@ -1238,7 +1268,7 @@ function animationCallback(callback, returnValue) {
  */
 export function createCenterConstraint(options) {
   if (options.extent !== undefined) {
-    return createExtent(options.extent);
+    return createExtent(options.extent, options.constrainOnlyCenter);
   } else {
     return centerNone;
   }
@@ -1274,8 +1304,8 @@ export function createResolutionConstraint(options) {
     maxResolution = resolutions[minZoom];
     minResolution = resolutions[maxZoom] !== undefined ?
       resolutions[maxZoom] : resolutions[resolutions.length - 1];
-    resolutionConstraint = createSnapToResolutions(
-      resolutions);
+    resolutionConstraint = createSnapToResolutions(resolutions,
+      !options.constrainOnlyCenter && options.extent);
   } else {
     // calculate the default min and max resolution
     const projection = createProjection(options.projection, 'EPSG:3857');
@@ -1320,7 +1350,8 @@ export function createResolutionConstraint(options) {
     minResolution = maxResolution / Math.pow(zoomFactor, maxZoom - minZoom);
 
     resolutionConstraint = createSnapToPower(
-      zoomFactor, maxResolution, maxZoom - minZoom);
+      zoomFactor, maxResolution, maxZoom - minZoom,
+      !options.constrainOnlyCenter && options.extent);
   }
   return {constraint: resolutionConstraint, maxResolution: maxResolution,
     minResolution: minResolution, minZoom: minZoom, zoomFactor: zoomFactor};
diff --git a/src/ol/centerconstraint.js b/src/ol/centerconstraint.js
index 4c4fcfe23f..eda8973ddd 100644
--- a/src/ol/centerconstraint.js
+++ b/src/ol/centerconstraint.js
@@ -5,25 +5,32 @@ import {clamp} from './math.js';
 
 
 /**
- * @typedef {function((import("./coordinate.js").Coordinate|undefined)): (import("./coordinate.js").Coordinate|undefined)} Type
+ * @typedef {function((import("./coordinate.js").Coordinate|undefined), number, import("./size.js").Size, boolean=): (import("./coordinate.js").Coordinate|undefined)} Type
  */
 
 
 /**
  * @param {import("./extent.js").Extent} extent Extent.
+ * @param {boolean} onlyCenter If true, the constraint will only apply to the view center.
  * @return {Type} The constraint.
  */
-export function createExtent(extent) {
+export function createExtent(extent, onlyCenter) {
   return (
     /**
-     * @param {import("./coordinate.js").Coordinate=} center Center.
+     * @param {import("./coordinate.js").Coordinate|undefined} center Center.
+     * @param {number} resolution Resolution.
+     * @param {import("./size.js").Size} size Viewport size; unused if `onlyCenter` was specified.
+     * @param {boolean=} opt_isMoving True if an interaction or animation is in progress.
      * @return {import("./coordinate.js").Coordinate|undefined} Center.
      */
-    function(center, opt_isMoving) {
+    function(center, resolution, size, opt_isMoving) {
       if (center) {
+        let viewWidth = onlyCenter ? 0 : size[0] * resolution;
+        let viewHeight = onlyCenter ? 0 : size[1] * resolution;
+
         return [
-          clamp(center[0], extent[0], extent[2]),
-          clamp(center[1], extent[1], extent[3])
+          clamp(center[0], extent[0] + viewWidth / 2, extent[2] - viewWidth / 2),
+          clamp(center[1], extent[1] + viewHeight / 2, extent[3] - viewHeight / 2)
         ];
       } else {
         return undefined;
diff --git a/src/ol/resolutionconstraint.js b/src/ol/resolutionconstraint.js
index 9a7d713888..d007b81dc9 100644
--- a/src/ol/resolutionconstraint.js
+++ b/src/ol/resolutionconstraint.js
@@ -3,34 +3,47 @@
  */
 import {linearFindNearest} from './array.js';
 import {clamp} from './math.js';
+import {getHeight, getWidth} from './extent';
 
 
 /**
- * @typedef {function((number|undefined), number, number): (number|undefined)} Type
+ * @typedef {function((number|undefined), number, number, import("./size.js").Size, boolean=): (number|undefined)} Type
  */
 
 
 /**
  * @param {Array<number>} resolutions Resolutions.
+ * @param {import("./extent.js").Extent=} opt_maxExtent Maximum allowed extent.
  * @return {Type} Zoom function.
  */
-export function createSnapToResolutions(resolutions) {
+export function createSnapToResolutions(resolutions, opt_maxExtent) {
   return (
     /**
      * @param {number|undefined} resolution Resolution.
      * @param {number} delta Delta.
      * @param {number} direction Direction.
+     * @param {import("./size.js").Size} size Viewport size.
+     * @param {boolean=} opt_isMoving True if an interaction or animation is in progress.
      * @return {number|undefined} Resolution.
      */
-    function(resolution, delta, direction, opt_isMoving) {
+    function(resolution, delta, direction, size, opt_isMoving) {
       if (resolution !== undefined) {
+        let cappedRes = resolution;
+
+        // apply constraint related to max extent
+        if (opt_maxExtent) {
+          const xResolution = getWidth(opt_maxExtent) / size[0];
+          const yResolution = getHeight(opt_maxExtent) / size[1];
+          cappedRes = Math.min(cappedRes, Math.min(xResolution, yResolution));
+        }
+
         // during interacting or animating, allow intermediary values
         if (opt_isMoving) {
           // TODO: actually take delta and direction into account
-          return resolution;
+          return Math.min(resolution, cappedRes);
         }
 
-        let z = linearFindNearest(resolutions, resolution, direction);
+        let z = linearFindNearest(resolutions, cappedRes, direction);
         z = clamp(z + delta, 0, resolutions.length - 1);
         const index = Math.floor(z);
         if (z != index && index < resolutions.length - 1) {
@@ -51,27 +64,39 @@ export function createSnapToResolutions(resolutions) {
  * @param {number} power Power.
  * @param {number} maxResolution Maximum resolution.
  * @param {number=} opt_maxLevel Maximum level.
+ * @param {import("./extent.js").Extent=} opt_maxExtent Maximum allowed extent.
  * @return {Type} Zoom function.
  */
-export function createSnapToPower(power, maxResolution, opt_maxLevel) {
+export function createSnapToPower(power, maxResolution, opt_maxLevel, opt_maxExtent) {
   return (
     /**
      * @param {number|undefined} resolution Resolution.
      * @param {number} delta Delta.
      * @param {number} direction Direction.
+     * @param {import("./size.js").Size} size Viewport size.
+     * @param {boolean=} opt_isMoving True if an interaction or animation is in progress.
      * @return {number|undefined} Resolution.
      */
-    function(resolution, delta, direction, opt_isMoving) {
+    function(resolution, delta, direction, size, opt_isMoving) {
       if (resolution !== undefined) {
+        let cappedRes = resolution;
+
+        // apply constraint related to max extent
+        if (opt_maxExtent) {
+          const xResolution = getWidth(opt_maxExtent) / size[0];
+          const yResolution = getHeight(opt_maxExtent) / size[1];
+          cappedRes = Math.min(cappedRes, Math.min(xResolution, yResolution));
+        }
+
         // during interacting or animating, allow intermediary values
         if (opt_isMoving) {
           // TODO: actually take delta and direction into account
-          return resolution;
+          return Math.min(resolution, cappedRes);
         }
 
         const offset = -direction / 2 + 0.5;
         const oldLevel = Math.floor(
-          Math.log(maxResolution / resolution) / Math.log(power) + offset);
+          Math.log(maxResolution / cappedRes) / Math.log(power) + offset);
         let newLevel = Math.max(oldLevel + delta, 0);
         if (opt_maxLevel !== undefined) {
           newLevel = Math.min(newLevel, opt_maxLevel);
diff --git a/src/ol/rotationconstraint.js b/src/ol/rotationconstraint.js
index 5183f28572..1efcc7f734 100644
--- a/src/ol/rotationconstraint.js
+++ b/src/ol/rotationconstraint.js
@@ -5,7 +5,7 @@ import {toRadians} from './math.js';
 
 
 /**
- * @typedef {function((number|undefined), number): (number|undefined)} Type
+ * @typedef {function((number|undefined), number, boolean=): (number|undefined)} Type
  */
 
 
@@ -47,6 +47,7 @@ export function createSnapToN(n) {
     /**
      * @param {number|undefined} rotation Rotation.
      * @param {number} delta Delta.
+     * @param {boolean=} opt_isMoving True if an interaction or animation is in progress.
      * @return {number|undefined} Rotation.
      */
     function(rotation, delta, opt_isMoving) {
diff --git a/test/spec/ol/interaction/interaction.test.js b/test/spec/ol/interaction/interaction.test.js
index 000a575eda..3d2d04e91a 100644
--- a/test/spec/ol/interaction/interaction.test.js
+++ b/test/spec/ol/interaction/interaction.test.js
@@ -132,6 +132,7 @@ describe('ol.interaction.Interaction', function() {
       const view = new View({
         center: [0, 0],
         extent: [-2.5, -2.5, 2.5, 2.5],
+        constrainOnlyCenter: true,
         resolution: 1,
         resolutions: [4, 2, 1, 0.5, 0.25]
       });
diff --git a/test/spec/ol/view.test.js b/test/spec/ol/view.test.js
index 453ca5d623..88b18e4718 100644
--- a/test/spec/ol/view.test.js
+++ b/test/spec/ol/view.test.js
@@ -45,7 +45,8 @@ describe('ol.View', function() {
       describe('with extent option', function() {
         it('gives a correct center constraint function', function() {
           const options = {
-            extent: [0, 0, 1, 1]
+            extent: [0, 0, 1, 1],
+            constrainOnlyCenter: true
           };
           const fn = createCenterConstraint(options);
           expect(fn([0, 0])).to.eql([0, 0]);