A density property for fractional weighted Sobolev spaces

Loading...
Thumbnail Image

Date

Volume

2073

Issue

Journal

Series Titel

WIAS Preprints

Book Title

Publisher

Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik

Link to publishers version

Abstract

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.

Description

Keywords

License

This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.
Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.