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Multiplier conditions for Boundedness into Hardy spaces
- Publication Year :
- 2017
-
Abstract
- In the present work, we find useful and explicit necessary and sufficient conditions for linear and multilinear multiplier operators of Coifman-Meyer type, finite sum of products of Calder\'on-Zygmund operators, and also of intermediate types to be bounded from a product of Lebesgue or Hardy spaces into a Hardy space. These conditions state that the symbols of the multipliers $\sigma(\xi_1,\dots , \xi_m)$ and their derivatives vanish on the hyperplane $\xi_1+\cdots+\xi_m=0$.<br />Comment: 13 pages
- Subjects :
- Mathematics - Functional Analysis
42B15, 42B30
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1702.08190
- Document Type :
- Working Paper