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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| Summary: | <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> |
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