Multipliers on weighted Hardy spaces over locally compact Vilenkin groups
✍ Scribed by Yueping Zhu; Weixing Zheng
- Publisher
- Springer
- Year
- 1999
- Tongue
- English
- Weight
- 415 KB
- Volume
- 44
- Category
- Article
- ISSN
- 1001-6538
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📜 SIMILAR VOLUMES
We extend the Littlewood᎐Paley 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 Ž . 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 Triebel‐Lizorkin 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 Hörmander's multiplier theorem on __G__. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, W