Title of article
Regularity criteria for almost every function in Sobolev spaces
Author/Authors
A. Fraysse، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
16
From page
1806
To page
1821
Abstract
In this paper we determine the multifractal nature of almost every function (in the prevalence setting)
in a given Sobolev or Besov space according to different regularity exponents. These regularity criteria
are based on local Lp regularity or on wavelet coefficients and give a precise information on pointwise
behavior.
© 2009 Elsevier Inc. All rights reserved
Keywords
Besov spaces , Multifractal analysis , Wavelet bases , Prevalence , Sobolev spaces , Calder?n–Zygmund regularity criteria
Journal title
Journal of Functional Analysis
Serial Year
2010
Journal title
Journal of Functional Analysis
Record number
840127
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