Premium
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)