Transference on some non-convolution operators from Euclidean spaces to torus

DOI10.1007/s11401-010-0624-1zbMath1213.42016OpenAlexW2034041383MaRDI QIDQ2430339

Jiecheng Chen, Yandan Zhang, Fan, Dashan

Publication date: 6 April 2011

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-010-0624-1

zbMATH Keywords

commutator\(n\)-torusde Leeuw's theorem

Mathematics Subject Classification ID

Multipliers for harmonic analysis in several variables (42B15) Fourier series and coefficients in several variables (42B05)

Related Items (1)

Transference of bilinear multipliers on Lorentz spaces

Cites Work

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• \(L^2\) boundedness for commutator of rough singular integral with variable kernel
• \(L^p\) estimates on the bilinear Hilbert transform for \(2<p<\infty\)
• Multipliers on certain function spaces
• The commutator of the Bochner-Riesz operator
• Transference on certain multilinear multiplier operators
• Maximal operators defined by Fourier multipliers
• On singular integrals with variable kernels
• Notes on Transference of Continuity from Maximam Fourier Multiplier Operators on Rn to Those on Tn.
• On relations between operators on R^{N}, T^{N} and Z^{N}
• Transference and restriction of maximal multiplier operators on Hardy spaces

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