10.1515_math-2022-0603.pdf (2.99 MB)
Estimates for certain class of rough generalized Marcinkiewicz functions along submanifolds
journal contribution
submitted on 2024-02-22, 12:08 and posted on 2024-02-22, 12:09 authored by Mohammed Ali, Hussain Al-QassemWe establish certain delicate Lpbounds 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 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.
Other Information
Published in: Open Mathematics
License: http://creativecommons.org/licenses/by/4.0
See article on publisher's website: https://dx.doi.org/10.1515/math-2022-0603
Funding
Open Access funding provided by the Qatar National Library.
History
Language
- English
Publisher
De GruyterPublication Year
- 2023
License statement
This Item is licensed under the Creative Commons Attribution 4.0 International License.Institution affiliated with
- Qatar University
- College of Arts and Sciences - QU
