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

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Title: Hardy-Littlewood inequalities and Fourier multipliers on SU(2)
Authors: Akylzhanov, R
Nursultanov, E
Ruzhansky, M
Item Type: Working Paper
Abstract: In this paper we prove a noncommutative version of Hardy-Littlewood inequalities relating a function and its Fourier coefficients on the group $SU(2)$. As a consequence, we use it to obtain lower bounds for the $L^p-L^q$ norms of Fourier multipliers on the group $SU(2)$, for $1 < p leq 2 leq q < 1$. 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: 23-Oct-2015
URI: http://hdl.handle.net/10044/1/28348
Copyright Statement: © 2015 the Authors
Keywords: Functional Analysis
Publication Status: Published
Publisher URL: http://arxiv.org/abs/1403.1731v2
Appears in Collections:Mathematics
Faculty of Natural Sciences

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