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.
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
Affiliations des auteurs :
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.
@article{10_4064_sm190_1_3,
author = {H. M. Al-Qassem and Y. Pan},
title = {On rough maximal operators and {Marcinkiewicz
integrals} along submanifolds},
journal = {Studia Mathematica},
pages = {73--98},
year = {2009},
volume = {190},
number = {1},
doi = {10.4064/sm190-1-3},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm190-1-3/}
}
TY - JOUR
AU - H. M. Al-Qassem
AU - Y. Pan
TI - On rough maximal operators and Marcinkiewicz
integrals along submanifolds
JO - Studia Mathematica
PY - 2009
SP - 73
EP - 98
VL - 190
IS - 1
UR - http://geodesic.mathdoc.fr/articles/10.4064/sm190-1-3/
DO - 10.4064/sm190-1-3
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%A H. M. Al-Qassem
%A Y. Pan
%T On rough maximal operators and Marcinkiewicz
integrals along submanifolds
%J Studia Mathematica
%D 2009
%P 73-98
%V 190
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4064/sm190-1-3/
%R 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 190 (2009) no. 1, pp. 73-98. doi: 10.4064/sm190-1-3
