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المؤلفAl-Qassem, Hussain
المؤلفCheng, Leslie
المؤلفPan, Yibiao
تاريخ الإتاحة2024-02-07T09:58:28Z
تاريخ النشر2009-12-01
اسم المنشورJournal of Inequalities in Pure and Applied Mathematics
الاقتباسAl-Qassem, H., Cheng, L., & Pan, Y. (2009). On certain rough integral operators and extrapolation. J. Inequal. Pure Appl. Math, 10, 1-29.‏
معرّف المصادر الموحدhttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=76649095684&origin=inward
معرّف المصادر الموحدhttp://hdl.handle.net/10576/51629
الملخصIn 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.
راعي المشروعIn 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.
اللغةen
الناشرVictoria university
الموضوعoperators and extrapolation
العنوانOn certain rough integral operators and extrapolation
النوعArticle
الصفحات1-29
رقم العدد3
رقم المجلد10
dc.accessType Abstract Only


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