The characterizations of weighted Sobolev spaces by wavelets and scaling functions

DOI10.11650/twjm/1500405350zbMath1174.42044OpenAlexW2126105449MaRDI QIDQ1026962

Mitsuo Izuki

Publication date: 30 June 2009

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/twjm/1500405350

zbMATH Keywords

weighted Sobolev spacewaveletunconditional basisscaling function\(A_p\) weightgreedy basis\(A_p^{loc}\) weight

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)

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The compactly supported wavelet characterization of non-homogeneous Herz-Sobolev spaces with variable exponent ⋮ Wavelet characterization of local Muckenhoupt weighted Sobolev spaces with variable exponents ⋮ Pointwise approximation with quasi-interpolation by radial basis functions ⋮ Wavelet bases in the weighted Besov and Triebel-Lizorkin spaces with \(A_p^{\text{loc}}\)-weights ⋮ The fractional porous medium equation on manifolds with conical singularities. I

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