Scaled-oscillation and regularity-Reference-Cited by-同舟云学术

Scaled-oscillation and regularity

Published:2006-03-23 Issue:9 Volume:134 Page:2667-2675
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Balogh Zoltán,Csörnyei Marianna

Abstract

We give sufficient conditions for Sobolev and Lipschitz functions in terms of their lower scaled-oscillation. The sharpness of these conditions is shown by examples. Our examples also show that a Stepanov-type differentiability theorem does not hold under the boundedness assumption of the lower scaled-oscillation.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2006-134-09/S0002-9939-06-08290-6/S0002-9939-06-08290-6.pdf

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