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Hörmander Fourier multiplier theorems with optimal regularity in bi-parameter Besov spaces

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Publication:2053655
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DOI10.4310/MRL.2021.v28.n4.a4zbMath1480.42017MaRDI QIDQ2053655

Liang Huang, Jiao Chen, Guozhen Lu

Publication date: 30 November 2021

Published in: Mathematical Research Letters (Search for Journal in Brave)


zbMATH Keywords

multiplierbi-parameter Besov space


Mathematics Subject Classification ID

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) Besov spaces and (Q_p)-spaces (30H25)


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Hörmander Fourier multiplier theorems with optimal Besov regularity on multi-parameter Hardy spaces, Hörmander multiplier theorem with regularity in modulation spaces, Boundedness of inhomogeneous Journé's type operators on multi-parameter local Hardy spaces, Fefferman type criterion on weighted bi-parameter local Hardy spaces and boundedness of bi-parameter pseudodifferential operators, Multi-Parameter Hardy Spaces Theory and Endpoint Estimates for Multi-Parameter Singular Integrals



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