Atomic decomposition for weighted Besov and Triebel-Lizorkin spaces
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Publication:3112447
DOI10.1002/mana.200910201zbMath1235.42015OpenAlexW2019652632MaRDI QIDQ3112447
Mitsuo Izuki, Yoshihiro Sawano
Publication date: 10 January 2012
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mana.200910201
Function spaces arising in harmonic analysis (42B35) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)
Related Items (17)
Besov Spaces with GeneralWeights ⋮ Spline wavelet decomposition in weighted function spaces ⋮ Composition operators on Herz-type Triebel-Lizorkin spaces with application to semilinear parabolic equations ⋮ Musielak-Orlicz Besov-type and Triebel-Lizorkin-type spaces ⋮ Traces of weighted Sobolev spaces with Muckenhoupt weight. The case \(p=1\) ⋮ Characterizations of pointwise multipliers of Besov spaces in endpoint cases with an application to the duality principle ⋮ The images of integration operators in weighted function spaces ⋮ Spline representations of Lizorkin-Triebel spaces with general weights ⋮ Unnamed Item ⋮ Decompositions of non-homogeneous Herz-type Besov and Triebel-Lizorkin spaces ⋮ Atomic decompositions of Triebel-Lizorkin spaces with local weights and applications ⋮ Boundary values of functions from Sobolev spaces with Mockenhaupt weight on non-Lipschitz domains ⋮ Description of traces of functions in the Sobolev space with a Muckenhoupt weight ⋮ Haar functions in weighted Besov and Triebel-Lizorkin spaces ⋮ Spline wavelet bases in function spaces with Muckenhoupt weights ⋮ Wavelet bases in the weighted Besov and Triebel-Lizorkin spaces with \(A_p^{\text{loc}}\)-weights ⋮ Triebel-Lizorkin spaces with general weights
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