Realizations of homogeneous Besov and Lizorkin‐Triebel spaces

DOI10.1002/mana.201100151zbMath1270.46027OpenAlexW2102843992MaRDI QIDQ4921737

Gérard Bourdaud

Publication date: 13 May 2013

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201100151

zbMATH Keywords

realizationhomogeneous Besov spaceshomogeneous Lizorkin-Triebel spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (19)

Fractional Paley-Wiener and Bernstein spaces ⋮ Characterizations of realized homogeneous Besov and Triebel-Lizorkin spaces via differences ⋮ Composition in critical Besov spaces ⋮ Refined decay estimate and analyticity of solutions to the linear heat equation in homogeneous Besov spaces ⋮ Embeddings of Decomposition Spaces ⋮ Dahlberg degeneracy for homogeneous Besov and Triebel–Lizorkin spaces ⋮ The Fatou property in homogeneous Besov spaces ⋮ Fractional Laplacian, homogeneous Sobolev spaces and their realizations ⋮ Composition operators acting on Besov spaces on the real line ⋮ Realization of homogeneous Triebel - Lizorkin spaces with $p=\infty $ and characterizations via differences ⋮ Boundedness of pseudodifferential operators on realized homogeneous Besov spaces ⋮ Pointwise multiplication in the realized homogeneous Besov and Triebel-Lizorkin spaces ⋮ Some convolution inequalities in realized homogeneous Besov and Triebel-Lizorkin spaces ⋮ Szasz's theorem and its generalizations ⋮ Some Hardy-type estimates in realized homogeneous Besov and Triebel-Lizorkin spaces ⋮ Realizations of homogeneous Besov and Triebel–Lizorkin spaces and an application to pointwise multipliers ⋮ Continuity of composition operators in Sobolev spaces ⋮ Spaces of Besov-Sobolev type and a problem on nonlinear approximation ⋮ Asymptotic stability of stationary Navier–Stokes flow in Besov spaces

Cites Work

• Composition operators on Besov algebras
• A discrete transform and decompositions of distribution spaces
• Composition operators on Lizorkin-Triebel spaces
• Réalisations des espaces de Besov homogènes. (Realization of homogeneous Besov spaces)
• Wavelets and Besov spaces
• Realizations of homogeneous Sobolev spaces
• Some observations on Besov and Lizorkin-Triebel spaces.

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