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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 .
Keywords.: Sobolev space with variable exponent; weighted Sobolev space; wavelet; unconditional basis; sampling theorem
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