Boundedness of an oscillating multiplier on Triebel-Lizorkin spaces

DOI10.1007/s10114-010-9573-6zbMath1210.42033OpenAlexW1970567746MaRDI QIDQ627594

Wei Cao, Jiecheng Chen, Fan, Dashan

Publication date: 2 March 2011

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

Full work available at URL: https://doi.org/10.1007/s10114-010-9573-6

zbMATH Keywords

Triebel-Lizorkin spacesatomic decompositionoscillating multiplier

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Multipliers for harmonic analysis in several variables (42B15) Harmonic analysis in several variables (42B99)

Related Items (5)

Estimates of damped fractional wave equations ⋮ Certain averaging operators on Triebel-Lizorkin spaces ⋮ Atomic decompositions of Triebel-Lizorkin spaces with local weights and applications ⋮ Approximation properties of combination of multivariate averages on Triebel-Lizorkin spaces ⋮ Estimates of three classical summations on the spaces \(\dot{F}^{\alpha,q}_p(\mathbb R^n)(0<p\leq 1)\)

Cites Work

• Central oscillating multipliers on compact Lie groups
• A discrete transform and decompositions of distribution spaces
• On the spectral synthesis problem for \((n-1)\)-dimensional subsets of \(R^ n,\,n \geq 2\)
• \(H^p\) spaces of several variables
• Boundedness of sublinear operators in Triebel–Lizorkin spaces via atoms
• Boundedness results for operators with singular kernels on distribution spaces
• Special trigonometric series in 𝑘-dimensions
• Fourier transforms of surface-carried measures and differentiability of surface averages
• An \(H^p\) inequality for strongly singular integrals
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