\(L^p\) estimates for bi-parameter and bilinear Fourier integral operators

DOI10.1007/s10114-016-6269-6zbMath1362.42021OpenAlexW2546919534MaRDI QIDQ523707

Qing Hong, Lu Zhang

Publication date: 21 April 2017

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

Full work available at URL: https://doi.org/10.1007/s10114-016-6269-6

zbMATH Keywords

bilinear and bi-parameter FIOsLittlewood-Paley partition of unitySeeger-Sogge-Stein decomposition

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Multipliers for harmonic analysis in several variables (42B15)

Related Items (16)

Boundedness of bi-parameter pseudo-differential operators on bi-parameter \(\alpha\)-modulation spaces ⋮ \(L^p\)-regularity of rough bi-parameter Fourier integral operators ⋮ Boundedness of inhomogeneous Journé's type operators on multi-parameter local Hardy spaces ⋮ Multilinear singular integral operators with generalized kernels and their multilinear commutators ⋮ On the boundedness of rough bi-parameter Fourier integral operators ⋮ \(L^{p}\) boundedness of rough bi-parameter Fourier integral operators ⋮ 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 ⋮ \(L^p\) boundedness for maximal functions associated with multi-linear pseudo-differential operators ⋮ \(L^p\)-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 ⋮ Discrete Littlewood-Paley-Stein characterization and \(L^2\) atomic decomposition of local Hardy spaces ⋮ Multi-Parameter Hardy Spaces Theory and Endpoint Estimates for Multi-Parameter Singular Integrals

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