[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2007.44.6.1255

WEIGHTED ESTIMATES FOR ROUGH PARAMETRIC MARCINKIEWICZ INTEGRALS

Al-Qassem, Hussain Mohammed (MATHEMATICS AND PHYSICS DEPARTMENT QATAR UNIVERSITY)

Publication Information

Journal of the Korean Mathematical Society / v.44, no.6, 2007 , pp. 1255-1266 More about this Journal

Abstract

We establish a weighted norm inequality for a class of rough parametric Marcinkiewicz integral operators $\mathcal{M}^{\rho}_{\Omega}$ . As an application of this inequality, we obtain weighted $L^p$ inequalities for a class of parametric Marcinkiewicz integral operators $\mathcal{M}^{*,\rho}_{\Omega,\lambda}\;and\;\mathcal{M}^{\rho}_{\Omega,S}$ related to the Littlewood-Paley $g^*_{\lambda}-function$ and the area integral S, respectively.

Keywords

Marcinkiewicz integral; Littlewood-Paley g-function; Lusin area integral; rough kernel;

Citations & Related Records

Times Cited By Web Of Science : 1 (Related Records In Web of Science)
Times Cited By SCOPUS : 0

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