Hörmander type theorem for Fourier multipliers with optimal smoothness on Hardy spaces of arbitrary number of parameters

DOI10.1007/s10114-017-6526-3zbMath1373.42011OpenAlexW2624612524MaRDI QIDQ2404095

Jiao Chen

Publication date: 12 September 2017

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

Full work available at URL: https://doi.org/10.1007/s10114-017-6526-3

zbMATH Keywords

Hörmander multiplierminimal smoothness conditionLittlewood-Paley's inequalitymulti-parameter Hardy \(H^p\) spacesmulti-parameter Sobolev spaces

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Multipliers for harmonic analysis in several variables (42B15)

Related Items (11)

Hörmander Fourier multiplier theorems with optimal Besov regularity on multi-parameter Hardy spaces ⋮ Boundedness of bi-parameter pseudo-differential operators on bi-parameter \(\alpha\)-modulation spaces ⋮ Hörmander multiplier theorem with regularity in modulation spaces ⋮ Boundedness of inhomogeneous Journé's type operators on multi-parameter local Hardy spaces ⋮ Hörmander type theorem on bi-parameter Hardy spaces for bi-parameter Fourier multipliers with optimal smoothness ⋮ Sharp maximal estimates for multilinear commutators of multilinear strongly singular Calderón-Zygmund operators and applications ⋮ Weighted \(L^{p}\) estimates for rough bi-parameter Fourier integral operators ⋮ Hörmander type multipliers on anisotropic Hardy spaces ⋮ Molecular decomposition and a class of Fourier multipliers for bi-parameter modulation spaces ⋮ Multi-parameter local Hardy spaces ⋮ Multi-Parameter Hardy Spaces Theory and Endpoint Estimates for Multi-Parameter Singular Integrals

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