Restriction and extension of Fourier multipliers between weighted 𝐿^{𝑝} spaces on ℝⁿ and 𝕋ⁿ

DOI10.1090/S0002-9939-08-09774-8zbMath1163.42003OpenAlexW1526886002MaRDI QIDQ3625542

Parasar Mohanty, Kenneth F. Andersen

Publication date: 5 May 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-08-09774-8

zbMATH Keywords

Fourier multipliersweighted Lebesgue spaces

Mathematics Subject Classification ID

Multipliers for harmonic analysis in several variables (42B15)

Related Items (6)

Weighted \(L^p\)-theory for Poisson, biharmonic and Stokes problems on periodic unbounded strips of \({{\mathbb {R}}}^n\) ⋮ Weighted resolvent estimates for the spatially periodic Stokes equations ⋮ Transference and restriction of Fourier multipliers on Orlicz spaces ⋮ On restriction of maximal multipliers in weighted settings ⋮ Vortices in stably-stratified rapidly rotating Boussinesq convection ⋮ Periodization, transference of Muckenhoupt weights, and automatic tight norm estimates for the periodic Hilbert transform

Cites Work

• \(L^ 2\) multipliers with power weights
• Summability kernels for \(L^p\) multipliers.
• On \(L_ p\) multipliers
• Multipliers of \(L^ p\) which vanish at infinity
• On restrictions of multipliers in weighted settings
• Restrictions from $ℝ^{n}$ to $ℤ^{n}$ of weak type (1,1) multipliers
• Restrictions and extensions of Fourier multipliers
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