Homogeneous Fourier and Weyl multipliers on Sobolev spaces related to the Heisenberg group

DOI10.1016/J.JFA.2021.109154zbMath1484.43002arXiv2010.04110OpenAlexW3174403688MaRDI QIDQ2042713

Rahul Garg, Riju Basak, Sundaram Thangavelu

Publication date: 21 July 2021

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.04110

zbMATH Keywords

Sobolev spacesFourier multipliersHeisenberg groupWeyl transformWeyl multipliersLaguerre Sobolev spaces

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Multipliers for harmonic analysis in several variables (42B15) Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22) Analysis on other specific Lie groups (43A80) Sobolev (and similar kinds of) spaces of functions on metric spaces; analysis on metric spaces (46E36)

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