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Wavelet characterization of Sobolev spaces with variable exponent
-
Mitsuo Izuki
Published/Copyright:
May 19, 2011
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
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Keywords for this article
Sobolev space with variable exponent;
weighted Sobolev space;
wavelet;
unconditional basis;
sampling theorem
Articles in the same Issue
- Semiinfinite multiobjective fractional programming, part II: Duality models
- Wavelet characterization of Sobolev spaces with variable exponent
- Structure of the fixed point set of asymptotically nonexpansive mappings in Banach spaces with weak uniformly normal structure
- Masas in the Calkin algebra without the Continuum Hypothesis
- Existence and uniqueness results of some fractional boundary value problem
- Set-valued variational-like inclusions with H -η-accretive operators in Banach spaces
- On semi-invariant submanifolds of a nearly Sasakian manifold admitting a semi-symmetric non-metric connection
- An estimate for the distance of a complex valued Sobolev function defined on the unit disc to the class of holomorphic functions
- Comparison ODE theorems related to the method of lines
