Applications of Herz-type Triebel-Lizorkin spaces

DOI10.1016/S0252-9602(17)30339-9zbMath1026.42014OpenAlexW2782989742MaRDI QIDQ1411406

Da Chun Yang, Jing-shi Xu

Publication date: 29 October 2003

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(17)30339-9

zbMATH Keywords

Triebel-Lizorkin spacesmaximal operatorpseudodifferential operatorspointwise multipliers

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) 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 (14)

Generalized Morrey spaces and trace operator ⋮ Composition operators on Herz-type Triebel-Lizorkin spaces with application to semilinear parabolic equations ⋮ On the composition operators on Besov and Triebel–Lizorkin spaces with power weights ⋮ 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 compactly supported wavelet characterization of non-homogeneous Herz-Sobolev spaces with variable exponent ⋮ Nemytzkij operators on Sobolev spaces with power weights. I ⋮ The boundedness of commutators of sublinear operators on Herz Triebel-Lizorkin spaces with variable exponent ⋮ Unnamed Item ⋮ Decompositions of non-homogeneous Herz-type Besov and Triebel-Lizorkin spaces ⋮ Jawerth-Franke embeddings of Herz-type Besov and Triebel-Lizorkin spaces ⋮ Herz-type Triebel-Lizorkin spaces. I

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