On certain rough maximal operators and singular integrals
| Author | Al-Qassem, H. M. |
| Available date | 2024-02-08T09:20:14Z |
| Publication Date | 2007-12-01 |
| Publication Name | SUT Journal of Mathematics |
| Citation | Al-Qassem, H. M. (2007). On certain rough maximal operators and singular integrals. SUT Journal of Mathematics, 43(1), 1-22. |
| ISSN | 09165746 |
| Abstract | We study the L p mapping properties of a class of singular integral operators T p,Ω,h related to polynomial mappings. We prove that this class of singular operators and some of its related maximal operators are bounded on L p when the kernel function Ω in L(log L) α(S n-1) for some α > 0 and theradial function h(|x|) satisfies a mild integrability condition. |
| Language | en |
| Subject | L boundedness p Maximal operators Rough kernel Singular integrals |
| Type | Article |
| Pagination | 1-22 |
| Issue Number | 1 |
| Volume Number | 43 |
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Mathematics, Statistics & Physics [715 items ]