Multi-parameter Triebel-Lizorkin spaces associated with the composition of two singular integrals and their atomic decomposition

DOI10.1515/forum-2014-0051zbMath1335.42021OpenAlexW2333462448MaRDI QIDQ901393

Guozhen Lu, Wei Ding, Yue Ping Zhu

Publication date: 12 January 2016

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/forum-2014-0051

zbMATH Keywords

atomic decompositionHardy spacessingular integralsmulti-parameter Triebel-Lizorkin spacesrestriction estimatesLittlewood-Paley analysisdiscrete Calderón identity

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) 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) (H^p)-spaces (42B30)

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