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A density property for fractional weighted Sobolev spaces - MaRDI portal

A density property for fractional weighted Sobolev spaces (Q900703)

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A density property for fractional weighted Sobolev spaces
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    A density property for fractional weighted Sobolev spaces (English)
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    22 December 2015
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    Summary: 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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    weighted fractional Sobolev spaces
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    density properties
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