A density property for fractional weighted Sobolev spaces
classification
🧮 math.AP
keywords
fractionalsobolevweighteddensityfunctionpropertyspacesadditional
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In this paper we show a density property for fractional weighted Sobolev spaces. That is, we prove that any function in a fractional weighted Sobolev space can be approximated by a smooth function with compact support. The additional difficulty in this nonlocal setting is caused by the fact that the weights are not necessarily translation invariant.
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