Wavelet characterization of Sobolev spaces with variable exponent

DOI10.1515/JAA.2011.002zbMath1276.42025OpenAlexW2006143410MaRDI QIDQ2865575

Mitsuo Izuki

Publication date: 2 December 2013

Published in: Journal of Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jaa.2011.002

zbMATH Keywords

weighted Sobolev spacewaveletunconditional basissampling theoremSobolev space with variable exponent

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Function spaces arising in harmonic analysis (42B35) General harmonic expansions, frames (42C15) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items (2)

Variable Exponent Herz-Morrey-Hardy Spaces Characterized by Wavelets and Its Application ⋮ Characterizations of Sobolev spaces with variable exponent via averages on balls

Cites Work

• Local convergence for wavelet expansions
• Maximal functions on Musielak--Orlicz spaces and generalized Lebesgue spaces
• Riesz potential and Sobolev embeddings on generalized Lebesgue and Sobolev spacesLp(·) andWk,p(·)

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