Hardy-Littlewood-Paley inequalities and Fourier multipliers on SU(2)

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Title: Hardy-Littlewood-Paley inequalities and Fourier multipliers on SU(2)
Authors: Ruzhansky, M
Akylzhanov, R
Nursultanov, E
Item Type: Journal Article
Abstract: We prove noncommutative versions of Hardy–Littlewood and Paley inequalities relating a function and its Fourier coefficients on the group SU(2). We use it to obtain lower bounds for the L p -L q norms of Fourier multipliers on SU(2) for 1 < p ≤ 2 ≤ q < ∞. In addition, we give upper bounds of a similar form, analogous to the known results on the torus, but now in the noncommutative setting of SU(2).
Issue Date: 17-Jun-2016
Date of Acceptance: 21-Apr-2016
URI: http://hdl.handle.net/10044/1/33759
DOI: https://dx.doi.org/10.4064/sm8106-4-2016
ISSN: 1730-6337
Publisher: Polskiej Akademii Nauk, Instytut Matematyczny (Polish Academy of Sciences, Institute of Mathematics)
Journal / Book Title: Studia Mathematica
Copyright Statement: © Instytut Matematyczny PAN, 2016
Sponsor/Funder: Engineering & Physical Science Research Council (EPSRC)
Funder's Grant Number: EP/K039407/1
Keywords: 0101 Pure Mathematics
Publication Status: Accepted
Appears in Collections:Pure Mathematics

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