Full length article: Weighted spaces and weighted norm inequalities on irregular domains

  • Authors:

  • Loredana Caso;Roberta D'Ambrosio

  • Affiliations:

  • -;-

  • Venue:
  • Journal of Approximation Theory
  • Year:
  • 2013

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Abstract

In this paper we study certain weighted Sobolev spaces defined on an open subset @W of R^n (not necessarily bounded or regular) when the weight is a function related to the distance from a subset of @?@W. As an application, we prove boundedness and compactness results for operators in such weighted Sobolev spaces.