Weighted Triebel-Lizorkin Spaces on Locally Compact Vilenkin Groups
✍ Scribed by Toshiyuki Kitada; C. W. Onneweer
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 638 KB
- Volume
- 168
- Category
- Article
- ISSN
- 0025-584X
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✦ Synopsis
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.
📜 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. 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