Calderón-Zygmund operators on homogeneous product Lipschitz spaces

DOI10.1007/s12220-019-00331-yzbMath1460.42023OpenAlexW2995035807MaRDI QIDQ2659490

Jiawei Dai, Taotao Zheng, Jiecheng Chen, Shaoyong He, Xiang Xing Tao

Publication date: 26 March 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-019-00331-y

zbMATH Keywords

Calderón-Zygmund operatorsLittlewood-Paley theoryhomogeneous product Lipschitz spacesJourné class

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (6)

Calderón-Zygmund operators on multiparameter Lipschitz spaces of homogeneous type ⋮ Mixed Lipschitz spaces and their applications ⋮ \(T1\) theorem on homogeneous product Besov spaces and product Triebel-Lizorkin spaces ⋮ Duality of three-parameter Hardy spaces associated with a sum of two flag singular integrals ⋮ Boundedness of multi-parameter pseudo-differential operators on multi-parameter Lipschitz spaces ⋮ Unnamed Item

Cites Work

• Singular integrals with flag kernels on homogeneous groups, I
• Boundedness of composition operators associated with mixed homogeneities on Lipschitz spaces
• A discrete transform and decompositions of distribution spaces
• Calderón-Zygmund operators on product Hardy spaces
• Singular integrals on product spaces
• A boundedness criterion for generalized Calderón-Zygmund operators
• Calderón-Zygmund operators on product spaces
• Harmonic analysis on product spaces
• Journé's covering lemma and its extension to higher dimensions
• Geometric Lipschitz spaces and applications to complex function theory and nilpotent groups
• A continuous version of duality of \(H^ 1\) with BMO on the bidisc
• Multiparameter singular integrals and maximal functions
• Marcinkiewicz multipliers and multi-parameter structure on Heisenberg (-type) groups. I
• Marcinkiewicz multipliers and multi-parameter structure on Heisenberg (-type) groups. II
• Singular integrals associated with Zygmund dilations
• Multiparameter operators and sharp weighted inequalities
• Lipschitz Spaces on Stratified Groups
• The Calderon-Zygmund Decomposition on Product Domains
• H ^p theory for the poly-disc
• Marcinkiewicz Multipliers and Lipschitz Spaces on Heisenberg Groups
• Algebras of Singular Integral Operators with Kernels Controlled by Multiple Norms
• Singular integrals with flag kernels and analysis on quadratic CR manifolds
• Unnamed Item

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