A boundedness result for Marcinkiewicz integral operator

A boundedness result for Marcinkiewicz integral operator

We extend a boundedness result for Marcinkiewicz integral operator. We find a new space of radial functions for which this class of singular integral operators remains Lp{L}^{p}-bounded when its kernel satisfies only the sole integrability condition.

Bibliographic Details
Main Authors: Hawawsheh Laith, Abudayah Mohammad
Format: Article
Language:English
Published: De Gruyter 2020-07-01
Series:Open Mathematics
Subjects:
marcinkiewicz integral operator
lp-bounded integral operator
maximal integral operator
42b15
42b20
42b25
Online Access:https://doi.org/10.1515/math-2020-0046
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spelling doaj-29d2ed04e3054e2cb1c42aa95430d54a2021-09-06T19:20:12ZengDe GruyterOpen Mathematics2391-54552020-07-0118182983610.1515/math-2020-0046math-2020-0046A boundedness result for Marcinkiewicz integral operatorHawawsheh Laith0Abudayah Mohammad1School of Basic Sciences and Humanities, German Jordanian University, Amman, JordanSchool of Basic Sciences and Humanities, German Jordanian University, Amman, JordanWe extend a boundedness result for Marcinkiewicz integral operator. We find a new space of radial functions for which this class of singular integral operators remains Lp{L}^{p}-bounded when its kernel satisfies only the sole integrability condition.https://doi.org/10.1515/math-2020-0046marcinkiewicz integral operatorlp-bounded integral operatormaximal integral operator42b1542b2042b25
collection DOAJ
language English
format Article
sources DOAJ
author Hawawsheh Laith
Abudayah Mohammad
spellingShingle Hawawsheh Laith
Abudayah Mohammad
A boundedness result for Marcinkiewicz integral operator
Open Mathematics
marcinkiewicz integral operator
lp-bounded integral operator
maximal integral operator
42b15
42b20
42b25
author_facet Hawawsheh Laith
Abudayah Mohammad
author_sort Hawawsheh Laith
title A boundedness result for Marcinkiewicz integral operator
title_short A boundedness result for Marcinkiewicz integral operator
title_full A boundedness result for Marcinkiewicz integral operator
title_fullStr A boundedness result for Marcinkiewicz integral operator
title_full_unstemmed A boundedness result for Marcinkiewicz integral operator
title_sort boundedness result for marcinkiewicz integral operator
publisher De Gruyter
series Open Mathematics
issn 2391-5455
publishDate 2020-07-01
description We extend a boundedness result for Marcinkiewicz integral operator. We find a new space of radial functions for which this class of singular integral operators remains Lp{L}^{p}-bounded when its kernel satisfies only the sole integrability condition.
topic marcinkiewicz integral operator
lp-bounded integral operator
maximal integral operator
42b15
42b20
42b25
url https://doi.org/10.1515/math-2020-0046
work_keys_str_mv AT hawawshehlaith aboundednessresultformarcinkiewiczintegraloperator
AT abudayahmohammad aboundednessresultformarcinkiewiczintegraloperator
AT hawawshehlaith boundednessresultformarcinkiewiczintegraloperator
AT abudayahmohammad boundednessresultformarcinkiewiczintegraloperator
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