Atomic decomposition for weighted Besov and Triebel-Lizorkin spaces

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

zbMATH Keywords

weightsatomBesov spacesTriebel-Lizorkin spacedecomposition of functions

Mathematics Subject Classification ID

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

Cites Work

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• Besov-Morrey spaces and Triebel-Lizorkin-Morrey spaces on domains
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• Atomic decompositions of function spaces with Muckenhoupt weights, and some relation to fractal analysis
• Quarkonial decomposition suitable for functional-differential equations of delay type
• Weighted HARDY Spaces
• Estimates for Operator Norms on Weighted Spaces and Reverse Jensen Inequalities
• Ondelettes et poids de Muckenhoupt
• Function Spaces with Exponential Weights I
• Weighted Norm Inequalities for the Hardy Maximal Function
• Atomic and molecular decompositions of anisotropic Triebel-Lizorkin spaces

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