On rough maximal operators and Marcinkiewicz integrals along submanifolds

H. M. Al-Qassem; Y. Pan

H. M. Al-Qassem ; Y. Pan

Studia Mathematica, Tome 192 (2009), p. 73-98 / Harvested from The Polish Digital Mathematics Library

Résumé

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 $L {(l o g L)}^{α} (^{n - 1})$ condition on the kernel functions. Our results improve and extend some known results.

Publié le : 2009-01-01

Zbl 1165.42003

EUDML-ID : urn:eudml:doc:284454

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     title = {On rough maximal operators and Marcinkiewicz integrals along submanifolds},
     journal = {Studia Mathematica},
     volume = {192},
     year = {2009},
     pages = {73-98},
     zbl = {1165.42003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm190-1-3}
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H. M. Al-Qassem; Y. Pan. On rough maximal operators and Marcinkiewicz integrals along submanifolds. Studia Mathematica, Tome 192 (2009) pp. 73-98. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm190-1-3/