Maximally Modulated Singular Integral Operators and their Applications to Pseudodifferential Operators on Banach Function Spaces

DOI10.1090/CONM/645/12908zbMath1345.42014arXiv1408.4400OpenAlexW331072963MaRDI QIDQ2990126

Publication date: 29 July 2016

Published in: Function Spaces in Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.4400

zbMATH Keywords

pseudodifferential operators singular integral operators Hardy-Littlewood maximal operator Banach function spaces variable Lebesque spaces

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Pseudodifferential operators (47G30)

Related Items (8)

Algebras of convolution type operators with continuous data do not always contain all rank one operators ⋮ Invertibility of Fourier convolution operators with \textit{pc} symbols on variable Lebesgue spaces with Khvedelidze weights ⋮ Fourier convolution operators with symbols equivalent to zero at infinity on Banach function spaces ⋮ Unnamed Item ⋮ Banach algebras of Fourier multipliers equivalent at infinity to nice Fourier multipliers ⋮ Calkin images of Fourier convolution operators with slowly oscillating symbols ⋮ Algebra of convolution type operators with continuous data on Banach function spaces ⋮ Noncompactness of Fourier convolution operators on Banach function spaces

This page was built for publication: Maximally Modulated Singular Integral Operators and their Applications to Pseudodifferential Operators on Banach Function Spaces