Hp MULTIPLIER RESULTS ON LOCALLY COMPACT VILENKIN GROUPS
โ Scribed by ONNEWEER, C. W.; QUEK, T. S.
- Book ID
- 111647443
- Publisher
- Oxford University Press
- Year
- 1989
- Tongue
- English
- Weight
- 272 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0033-5606
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๐ SIMILAR VOLUMES
We extend the LittlewoodแPaley 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 ลฝ . L G and prove the sharpness of our result. We also obtain a sufficient co
## Abstract Let __G__ be a locally compact Vilenkin group. We consider the atomic and molecular decomposition of the weighted TriebelโLizorkin spaces on __G.__ As an application of it we prove boundedness results for certain pseudodifferential operators on such spaces.
## 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 Hรถrmander's multiplier theorem on __G__. (ยฉ 2008 WILEYโVCH Verlag GmbH & Co. KGaA, W