Continuity for Maximal Multilinear Bochner–Riesz Operators on Hardy and Herz–Hardy Spaces
✍ Scribed by Lan Zhe Liu; Shan Zhen Lu
- Publisher
- Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2005
- Tongue
- English
- Weight
- 168 KB
- Volume
- 22
- Category
- Article
- ISSN
- 1439-7617
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📜 SIMILAR VOLUMES
## Abstract We show that the lacunary maximal operator associated to a compact smooth hypersurface on which the Gaussian curvature nowhere vanishes to infinite order maps the standard Hardy space __H__ ^1^ to __L__ ^1,__∞__^ . (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
After establishing the molecule characterization of the Hardy-Morrey space, we prove the boundedness of the singular integral operator and the Riesz potential. We also obtain the Hardy-Morrey space estimates for multilinear operators satisfying certain vanishing moments. As an application, we study