IJPAM: Volume 115, No. 4 (2017)
Title
BOUNDS FOR MARCINKIEWICZ INTEGRALSALONG SURFACES AND EXTRAPOLATION
Authors
Hiyam Al-Bataineh, Mohammed AliDepartment of Mathematics and Statistics
Jordan University of Science and Technology
Irbid, JORDAN
Abstract
In this article, we study the estimates of Marcinkiewicz integral operators when the kernels belong to for some . These estimates allow us to use an extrapolation argument to establish the boundedness of Marcinkiewicz integrals when their kernels in with . Our results are essential improvements and extensions of some known results on Marcinkiewicz integrals.History
Received: February 1, 2017
Revised: May 7, 2017
Published: August 10, 2017
AMS Classification, Key Words
AMS Subject Classification: 40B20, 40B15, 40B25
Key Words and Phrases: boundedness, Marcinkiewicz integrals, rough kernels, extrapolation
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Bibliography
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- H. Al-Qassem and A. Al-Salman, A note on Marcinkiewiczintegral operators, J. Math. Anal. Appl., 282(2) (2003),698-710.
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- H. Al-Qassem and Y. Pan, estimates for singularintegrals with kernels belonging to certain block spaces, Rev.Mat. Iberoamericana, 18(3) (2002), 701-730.
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- H. Al-Qassem and Y. Pan, On certain estimates forMarcinkiewicz integrals and extrapolation, Collec. Math., 60
How to Cite?
DOI: 10.12732/ijpam.v115i4.11 How to cite this paper?Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 115
Issue: 4
Pages: 777 - 786
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