Convolution operators on Lorentz spaces over locally compact Vilenkin groups | Zendy

Quek T. S. | Zendy

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Convolution operators on Lorentz spaces over locally compact Vilenkin groups

Author(s) -

Quek T. S.

Publication year - 2008

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.200510601

Subject(s) - mathematics , lorentz transformation , convolution (computer science) , multiplier (economics) , locally compact space , locally compact group , pure mathematics , operator (biology) , mathematical analysis , group (periodic table) , biochemistry , chemistry , physics , computer science , artificial neural network , transcription factor , gene , economics , macroeconomics , organic chemistry , classical mechanics , repressor , machine learning

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, Weinheim)

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