Open Access
Winter 2003 Besov functions and vanishing exponential integrability
David R. Adams, Ritva Hurri-Syrjänen
Illinois J. Math. 47(4): 1137-1150 (Winter 2003). DOI: 10.1215/ijm/1258138095

Abstract

We prove a general vanishing exponential integrability result for Besov functions. In a basic case, this allows us to improve the known $\mathcal{O}(1)$ estimate to a $o(1)$ estimate. It also leads to improvements of differentiability results for Besov functions.

Citation

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David R. Adams. Ritva Hurri-Syrjänen. "Besov functions and vanishing exponential integrability." Illinois J. Math. 47 (4) 1137 - 1150, Winter 2003. https://doi.org/10.1215/ijm/1258138095

Information

Published: Winter 2003
First available in Project Euclid: 13 November 2009

zbMATH: 1044.46026
MathSciNet: MR2036994
Digital Object Identifier: 10.1215/ijm/1258138095

Subjects:
Primary: 46E35
Secondary: 31B15 , 46E30

Rights: Copyright © 2003 University of Illinois at Urbana-Champaign

Vol.47 • No. 4 • Winter 2003
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