On the boundedness of a class of rough maximal operators on product spaces
| Author | Al-Qassem, Hussain M. |
| Author | Cheng, Leslie C. |
| Author | Pan, Yibiao |
| Available date | 2024-02-06T09:19:37Z |
| Publication Date | 2011-12-01 |
| Publication Name | Hokkaido Mathematical Journal |
| Identifier | http://dx.doi.org/10.14492/hokmj/1300108396 |
| Citation | Al-Qassem, H. M., Cheng, L. C., & Yibiao, P. A. N. (2011). On the boundedness of a class of rough maximal operators on product spaces. Hokkaido Mathematical Journal, 40(1), 1-32. |
| ISSN | 03854035 |
| Abstract | In this paper, we study the Lp boundedness of a class of maximal operators T (γ) {Ωj} and a related class of rough singular integrals on product spaces. We obtain appropriate Lp estimates for such maximal operators and singular integrals. These estimates are used in an extrapolation argument and allow us to obtain some new and improved results for certain maximal integral operators and singular integrals on product spaces under certain sharp conditions on the kernel functions. Also, one of our main results in this paper is a corrigendum of a result obtained by Ding-Lin. |
| Language | en |
| Subject | Block spaces L log L spaces L boundedness p Maximal operator Product spaces Rough kernel Singular integral |
| Type | Article |
| Pagination | 1-32 |
| Issue Number | 1 |
| Volume Number | 40 |
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Mathematics, Statistics & Physics [676 items ]