Convolution operators on Lorentz spaces
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T. S. Quek
📂
Article
📅
2008
🏛
John Wiley and Sons
🌐
English
⚖ 182 KB
## 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, W