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Title: Convolution operators on Lorentz spaces over locally compact Vilenkin groups
Authors: Quek, T.S. 
Keywords: Convolution operators
Hardy-Littlewood maximal function
Herz spaces
Lorentz spaces
Triebel-Lizorkin spaces
Vilenkin groups
Issue Date: Feb-2008
Citation: Quek, T.S. (2008-02). Convolution operators on Lorentz spaces over locally compact Vilenkin groups. Mathematische Nachrichten 281 (2) : 282-296. ScholarBank@NUS Repository.
Abstract: Let G be a locally compact Vilenkin group. Using Herz spaces, we give sufficient conditions for a distribution on G to be a convolution operator on certain Lorentz spaces. Our results generalize Hörmander's multiplier theorem on G. © 2008 Wiley-VCH Verlag GmbH & Co. KGaA.
Source Title: Mathematische Nachrichten
ISSN: 0025584X
DOI: 10.1002/mana.200510601
Appears in Collections:Staff Publications

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