English

Pointwise characterizations of Hardy-Sobolev functions

Functional Analysis 2007-05-23 v1 Classical Analysis and ODEs

Abstract

We establish simple pointwise characterizations of functions in the Hardy-Sobolev spaces within the range n/(n+1)<p <=1. In addition, classical Hardy inequalities are extended to the case p <= 1.

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Cite

@article{arxiv.math/0611901,
  title  = {Pointwise characterizations of Hardy-Sobolev functions},
  author = {Pekka Koskela and Eero Saksman},
  journal= {arXiv preprint arXiv:math/0611901},
  year   = {2007}
}

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17 pages