Commutators of integral operators with variable kernels on Hardy spaces
| dc.creator | Zhang, Pu | |
| dc.creator | Zhao, Kai | |
| dc.date | 2005-12-14 | |
| dc.date.accessioned | 2026-07-07T06:55:14Z | |
| dc.date.available | 2026-07-07T06:55:14Z | |
| dc.description | Let $\T (0\leq α<n)$ be the singular and fractional integrals with variable kernel $Ω(x,z)$, and $[b,\T]$ be the commutator generated by $\T$ and a Lipschitz function $b$. In this paper, the authors study the boundedness of $[b,\T]$ on the Hardy spaces, under some assumptions such as the $L^r$-Dini condition. Similar results and the weak type estimates at the end-point cases are also given for the homogeneous convolution operators $\tT (0\leq α<n)$. The smoothness conditions imposed on $\tOmega$ are weaker than the corresponding known results. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/math/0512315 | |
| dc.identifier | http://arxiv.org/abs/math/0512315 | |
| dc.identifier | Proc. Indian Acad. Sci. (Math. Sci.), Vol. 115, No. 4, November 2005, pp. 399-410 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/106218 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 42B20; 42B30 | |
| dc.title | Commutators of integral operators with variable kernels on Hardy spaces | |
| dc.type | text |