| Full text | |
| Author(s): |
Picon, Tiago
;
Vasconcelos, Claudio
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Integral Equations and Operator Theory; v. 95, n. 2, p. 29-pg., 2023-06-01. |
| Abstract | |
In this work, we establish results on the continuity of strongly singular Calderon-Zygmund operators of type s on Hardy spaces H-p(R-n) for 0 < p = 1 assuming a weaker L-s-type Hormander condition on the kernel. Operators of this type include appropriate classes of pseudodifferential operators OpS(s,b)(m)(R-n) and operators associated to standard d- kernels of type s introduced by Alvarez and Milman. As application, we show that strongly singular Calderon-Zygmund operators are bounded from H-w(p)(R-n) to L-w(p)(R-n), where w belongs to a special class of Muckenhoupt weight. (AU) | |
| FAPESP's process: | 18/15484-7 - A priori estimates for elliptic operators and applications |
| Grantee: | Tiago Henrique Picon |
| Support Opportunities: | Research Grants - Young Investigators Grants - Phase 2 |