Geodesic
On rough maximal operators and Marcinkiewicz integrals along submanifolds
H. M. Al-Qassem 1   ; Y. Pan 2
1 Department of Mathematics and Physics Qatar University Doha, Qatar
2 Department of Mathematics University of Pittsburgh Pittsburgh, PA 15260, U.S.A.
Studia Mathematica, Tome 190 (2009) no. 1, pp. 73-98 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We investigate the $L^{p}$ boundedness for a class of parametric Marcinkiewicz integral operators associated to submanifolds and a class of related maximal operators under the $L(\log L)^{\alpha}({\mathbb S} ^{n-1})$ condition on the kernel functions. Our results improve and extend some known results.
DOI : 10.4064/sm190-1-3
Keywords: investigate boundedness class parametric marcinkiewicz integral operators associated submanifolds class related maximal operators under log alpha mathbb n condition kernel functions results improve extend known results

H. M. Al-Qassem  1   ; Y. Pan  2

1 Department of Mathematics and Physics Qatar University Doha, Qatar
2 Department of Mathematics University of Pittsburgh Pittsburgh, PA 15260, U.S.A. 
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H. M. Al-Qassem; Y. Pan. On rough maximal operators and Marcinkiewicz
integrals along submanifolds. Studia Mathematica, Tome 190 (2009) no. 1, pp. 73-98. doi: 10.4064/sm190-1-3

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