Relations between bilinear multipliers on \(\mathbb R^n\), \(\mathbb T^n\) and \(\mathbb Z^n\)

DOI10.1007/s12044-009-0038-8zbMath1176.42007arXiv0903.4052OpenAlexW2783063024MaRDI QIDQ1043865

Parasar Mohanty, Saurabh Shrivastava, Shobha Madan, Debashish Bose

Publication date: 9 December 2009

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.4052

zbMATH Keywords

sampling theoremPoisson summation formulabilinear multiplierstransference methods

Mathematics Subject Classification ID

Multipliers for harmonic analysis in several variables (42B15)

Related Items (3)

A class of bilinear multipliers given by Littlewood-Paley decomposition ⋮ Discrete bilinear Radon transforms along arithmetic functions with many common values ⋮ Bilinear Littlewood-Paley for circle and transference

Cites Work

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• \(L^p\) estimates on the bilinear Hilbert transform for \(2<p<\infty\)
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• Transference of bilinear multiplier operators on Lorentz spaces
• Multilinear Calderón-Zygmund theory
• Discretization and transference of bisublinear maximal operators
• On \(L_ p\) multipliers
• Transference on certain multilinear multiplier operators
• Maximal transference and summability of multilinear Fourier series
• Jodeit's extensions for bilinear multipliers
• Restrictions and extensions of Fourier multipliers

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