Stuck filters have become an increasing problem these days, especially with the new plastic lenses. A good way of removing them is to remove your shoe and use the sole to press into the filter, and then twist. The texture of the sole, by design, provides a good grip. Just make sure your shoe doesn't have a fancy contoured sole, and preferably do this with the dusty sole facing up. Gripping with your hands at the sides of the filter just warps it and makes it more difficult to unscrew.
Not sure whether it will work, but I was taught to use this method whenever there is a stuck cap on a bottle.
Get a tablespoon.
Use the spoon to tap slightly around the edges of the uv filter. Make sure you do it gently, steadily and slowly. Go round a few times. If it doesn't bulge, increase your strength by a little and repeat again.
Just make sure you do not use to knock it too hard, thereby damaging your filter or even worse, your camera.
place your lens filter on the edge of the door, close it slowly. ask someone in your house to push the door. then you turn your camera. yes, your wood door maybe dented, but as least your lens is safe !.