Boundedness and compactness of convolution operators with unbounded coefficients on locally compact groups
β Scribed by B. Ya. Shteinberg
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1985
- Tongue
- English
- Weight
- 579 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0001-4346
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π SIMILAR VOLUMES
## 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 HΓΆrmander's multiplier theorem on __G__. (Β© 2008 WILEYβVCH Verlag GmbH & Co. KGaA, W
Let \(G\) be a locally compact group and \(\mathrm{VN}(G)\) be the von Neumann algebra generated by the left regular representation of \(G\). Let \(\operatorname{UCB}(\hat{G})\) denote the \(C^{*}\)-subalgebra generated by operators in \(\mathrm{VN}(G)\) with compact support. When \(G\) is abelian.