Skip to content
Licensed Unlicensed Requires Authentication Published by De Gruyter May 19, 2011

Wavelet characterization of Sobolev spaces with variable exponent

Mitsuo Izuki

Abstract

Our aim is to get characterizations and unconditional bases of variable Sobolev spaces in terms of wavelets. As an application, we obtain the sampling theorem in .

Received: 2009-04-20
Revised: 2009-07-27
Accepted: 2010-05-10
Published Online: 2011-05-19
Published in Print: 2011-June

© de Gruyter 2011