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AuthorAl-Qassem, Hussain
AuthorCheng, Leslie
AuthorPan, Yibiao
Available date2024-02-07T09:58:28Z
Publication Date2009-12-01
Publication NameJournal of Inequalities in Pure and Applied Mathematics
CitationAl-Qassem, H., Cheng, L., & Pan, Y. (2009). On certain rough integral operators and extrapolation. J. Inequal. Pure Appl. Math, 10, 1-29.‏
URIhttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=76649095684&origin=inward
URIhttp://hdl.handle.net/10576/51629
AbstractIn this paper, we obtain sharp Lp estimates of two classes of maximal operators related to rough singular integrals and Marcinkiewicz integrals. These estimates will be used to obtain similar estimates for the related singular integrals and Marcinkiewicz integrals. By the virtue of these estimates and extrapolation we obtain the Lp boundedness of all the aforementioned operators under rather weak size conditions. Our results represent significant improvements as well as natural extensions of what was known previously. © 2009 Victoria University. All rights reserved.
SponsorIn this paper, we obtain sharp Lp estimates of two classes of maximal operators related to rough singular integrals and Marcinkiewicz integrals. These estimates will be used to obtain similar estimates for the related singular integrals and Marcinkiewicz integrals. By the virtue of these estimates and extrapolation we obtain the Lp boundedness of all the aforementioned operators under rather weak size conditions. Our results represent significant improvements as well as natural extensions of what was known previously. Victoria University. All rights reserved.
Languageen
PublisherVictoria university
Subjectoperators and extrapolation
TitleOn certain rough integral operators and extrapolation
TypeArticle
Pagination1-29
Issue Number3
Volume Number10
dc.accessType Abstract Only


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