Estimates for certain class of rough generalized Marcinkiewicz functions along submanifolds

Autor: Ali Mohammed, Al-Qassem Hussain
Jazyk: angličtina
Rok vydání: 2023
Předmět:
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