An oscillating multiplier on Herz type spaces

DOI10.1007/S11766-011-2425-ZzbMath1240.42031OpenAlexW2052622422MaRDI QIDQ655756

Wei Cao, Lijing Sun

Publication date: 27 January 2012

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-011-2425-z

zbMATH Keywords

atomic decompositionHerz spaceoscillating multiplier

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) Multipliers for harmonic analysis in several variables (42B15)

Cites Work

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• Central oscillating multipliers on compact Lie groups
• Boundedness of sublinear operators in Herz-type Hardy spaces
• \(L^p\) estimates for the waves equation
• Oscillating multipliers on Lie groups and Riemannian manifolds
• \(L^p\)-boundedness of oscillating spectral multipliers on Riemannian manifolds
• \(H^p\) spaces of several variables
• Weighted Norm Inequalities for Strongly Singular Convolution Operators
• Strongly singular convolution operators on the weighted Herz-type Hardy spaces
• Special trigonometric series in 𝑘-dimensions
• An \(H^p\) inequality for strongly singular integrals

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