Estimates for certain class of rough generalized Marcinkiewicz functions along submanifolds
<p dir="ltr">We establish certain delicate L<sup>p</sup>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 L<sup>p</sup> boundedness of...
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2023
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| _version_ | 1864513526524018688 |
|---|---|
| author | Mohammed Ali (536542) |
| author2 | Hussain Al-Qassem (18002530) |
| author2_role | author |
| author_facet | Mohammed Ali (536542) Hussain Al-Qassem (18002530) |
| author_role | author |
| dc.creator.none.fl_str_mv | Mohammed Ali (536542) Hussain Al-Qassem (18002530) |
| dc.date.none.fl_str_mv | 2023-07-21T03:00:00Z |
| dc.identifier.none.fl_str_mv | 10.1515/math-2022-0603 |
| dc.relation.none.fl_str_mv | https://figshare.com/articles/journal_contribution/Estimates_for_certain_class_of_rough_generalized_Marcinkiewicz_functions_along_submanifolds/25257247 |
| dc.rights.none.fl_str_mv | CC BY 4.0 info:eu-repo/semantics/openAccess |
| dc.subject.none.fl_str_mv | Mathematical sciences Applied mathematics generalized Marcinkiewicz Triebel-Lizorkin space rough kernels extrapolation |
| dc.title.none.fl_str_mv | Estimates for certain class of rough generalized Marcinkiewicz functions along submanifolds |
| dc.type.none.fl_str_mv | Text Journal contribution info:eu-repo/semantics/publishedVersion text contribution to journal |
| description | <p dir="ltr">We establish certain delicate L<sup>p</sup>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 L<sup>p</sup> 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.</p><p><br></p><h2>Other Information</h2><p dir="ltr">Published in: Open Mathematics<br>License: <a href="http://creativecommons.org/licenses/by/4.0" target="_blank">http://creativecommons.org/licenses/by/4.0</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.1515/math-2022-0603" target="_blank">https://dx.doi.org/10.1515/math-2022-0603</a></p> |
| eu_rights_str_mv | openAccess |
| id | Manara2_c6a93b661c92bcc45f3054f2849a423d |
| identifier_str_mv | 10.1515/math-2022-0603 |
| network_acronym_str | Manara2 |
| network_name_str | Manara2 |
| oai_identifier_str | oai:figshare.com:article/25257247 |
| publishDate | 2023 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| rights_invalid_str_mv | CC BY 4.0 |
| spelling | Estimates for certain class of rough generalized Marcinkiewicz functions along submanifoldsMohammed Ali (536542)Hussain Al-Qassem (18002530)Mathematical sciencesApplied mathematicsgeneralized MarcinkiewiczTriebel-Lizorkin spacerough kernelsextrapolation<p dir="ltr">We establish certain delicate L<sup>p</sup>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 L<sup>p</sup> 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.</p><p><br></p><h2>Other Information</h2><p dir="ltr">Published in: Open Mathematics<br>License: <a href="http://creativecommons.org/licenses/by/4.0" target="_blank">http://creativecommons.org/licenses/by/4.0</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.1515/math-2022-0603" target="_blank">https://dx.doi.org/10.1515/math-2022-0603</a></p>2023-07-21T03:00:00ZTextJournal contributioninfo:eu-repo/semantics/publishedVersiontextcontribution to journal10.1515/math-2022-0603https://figshare.com/articles/journal_contribution/Estimates_for_certain_class_of_rough_generalized_Marcinkiewicz_functions_along_submanifolds/25257247CC BY 4.0info:eu-repo/semantics/openAccessoai:figshare.com:article/252572472023-07-21T03:00:00Z |
| spellingShingle | Estimates for certain class of rough generalized Marcinkiewicz functions along submanifolds Mohammed Ali (536542) Mathematical sciences Applied mathematics generalized Marcinkiewicz Triebel-Lizorkin space rough kernels extrapolation |
| status_str | publishedVersion |
| title | Estimates for certain class of rough generalized Marcinkiewicz functions along submanifolds |
| title_full | Estimates for certain class of rough generalized Marcinkiewicz functions along submanifolds |
| title_fullStr | Estimates for certain class of rough generalized Marcinkiewicz functions along submanifolds |
| title_full_unstemmed | Estimates for certain class of rough generalized Marcinkiewicz functions along submanifolds |
| title_short | Estimates for certain class of rough generalized Marcinkiewicz functions along submanifolds |
| title_sort | Estimates for certain class of rough generalized Marcinkiewicz functions along submanifolds |
| topic | Mathematical sciences Applied mathematics generalized Marcinkiewicz Triebel-Lizorkin space rough kernels extrapolation |