Autor: |
Ali Mohammed, Al-Qassem Hussain |
Jazyk: |
angličtina |
Rok vydání: |
2023 |
Předmět: |
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Zdroj: |
Open Mathematics, Vol 21, Iss 1, Pp 430-466 (2023) |
Druh dokumentu: |
article |
ISSN: |
2391-5455 |
DOI: |
10.1515/math-2022-0603 |
Popis: |
We establish certain delicate Lp{L}^{p} bounds for a class of generalized Marcinkiewicz integral operators along submanifolds with rough kernels. These bounds allow us to use Yano’s extrapolation method to prove the Lp{L}^{p} boundedness of the aforementioned integral operators under very weak assumptions on the kernels. Our results in this article improve and generalize many previously known results. |
Databáze: |
Directory of Open Access Journals |
Externí odkaz: |
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