Let G be a locally compact group. In this paper we study moduli of products of elements and of multipliers of Banach algebras which are related to locally compact groups and which admit lattice structure. As a consequence, we obtain a characterization of operators on L (G) which commute with convolu
Nuclear Multipliers on Compact Groups
β Scribed by Wolfgang Bauhardt
- Publisher
- John Wiley and Sons
- Year
- 1979
- Tongue
- English
- Weight
- 477 KB
- Volume
- 93
- Category
- Article
- ISSN
- 0025-584X
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π SIMILAR VOLUMES
We extend the LittlewoodαPaley theorem to L G , where G is a locally w compact Vilenkin group and w are weights satisfying the Muckenhoupt A p condition. As an application we obtain a mixed-norm type multiplier result on p Ε½ . L G and prove the sharpness of our result. We also obtain a sufficient co
The usual formula for Hermite polynomials on \(\mathbf{R}^{d}\) is extended to a compact Lie group \(G\), yielding an isometry of \(L^{2}\left(G, p_{1}\right)\), where \(p_{1}\) is the heat kernel measure at time one, with a natural completion of the universal enveloping algebra of \(G\). The existe
## Abstract We prove limit theorems for row sums of a rowwise independent infinitesimal array of random variables with values in a locally compact Abelian group. First we give a proof of Gaiser's theorem [4, Satz 1.3.6], since it does not have an easy access and it is not complete. This theorem giv