Herz-type Triebel-Lizorkin spaces. I

DOI10.1007/s10114-004-0424-1zbMath1092.42013OpenAlexW2001480448MaRDI QIDQ2581190

Jing-shi Xu, Da Chun Yang

Publication date: 9 January 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-004-0424-1

zbMATH Keywords

maximal functionembeddinglifting propertymultiplierTriebel-Lizorkin spaceHerz space

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Multipliers for harmonic analysis in several variables (42B15)

Related Items (15)

Composition operators on Herz-type Triebel-Lizorkin spaces with application to semilinear parabolic equations ⋮ The boundedness of Fourier transform on the Herz type amalgams and Besov spaces ⋮ Herz type Besov and Triebel-Lizorkin spaces with variable exponent ⋮ Variable exponent Herz type Besov and Triebel-Lizorkin spaces ⋮ New Herz type Besov and Triebel-Lizorkin spaces with variable exponents ⋮ Mixed-norm Herz spaces and their applications in related Hardy spaces ⋮ The Musielak-Orlicz Herz spaces ⋮ Multiplication on Besov and Triebel-Lizorkin spaces of power weights ⋮ The compactly supported wavelet characterization of non-homogeneous Herz-Sobolev spaces with variable exponent ⋮ Nemytzkij operators on Sobolev spaces with power weights. I ⋮ Unnamed Item ⋮ Decompositions of non-homogeneous Herz-type Besov and Triebel-Lizorkin spaces ⋮ Point-wise multipliers of Herz-type Besov spaces and their applications ⋮ On the continuity of pseudo-differential operators on multiplier spaces associated to Herz-type Triebel-Lizorkin spaces ⋮ Jawerth-Franke embeddings of Herz-type Besov and Triebel-Lizorkin spaces

Cites Work

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• Some new classes of Hardy spaces
• Herz-type Sobolev and Bessel potential spaces and their applications
• Applications of Herz-type Triebel-Lizorkin spaces
• Boundedness of some sublinear operators on Herz spaces
• The weighted Herz-type Hardy space and its applications
• Construction and analysis of some convolution algebras
• Some Elementary Inequalities for Integrals with Applications to Fourier Transforms
• A Theory of Hardy Spaces Associated to the Herz Spaces
• Hardy Spaces and Beurling Algebras
• Remarks on Herz-type Hardy spaces

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