IJPAM: Volume 97, No. 1 (2014)

BOUNDEDNESS OF MARCINKIEWICZ INTEGRALS
ON PRODUCT SPACES AND EXTRAPOLATION

Mohammed Ali$^1$, Ameera Al-Senjlawi$^2$
$^{1,2}$Department of Mathematics and Statistics
Jordan University of Science and Technology
Irbid, JORDAN


Abstract. In this article, we establish $L^p$ estimates for the Marcinkiewicz integral operators with rough kernels on product spaces. These estimates and extrapolation arguments improve and extend some known results on Marcinkiewicz integrals.

Received: June 24, 2014

AMS Subject Classification: 40B15, 40B20, 40B25

Key Words and Phrases: $L^p$ boundedness, Marcinkiewicz integrals, rough kernels, extrapolation

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DOI: 10.12732/ijpam.v97i1.6 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: 2014
Volume: 97
Issue: 1
Pages: 49 - 66


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