On rough maximal operators and Marcinkiewicz integrals along submanifolds

H. M. Al-Qassem, and Y. Pan. "On rough maximal operators and Marcinkiewicz integrals along submanifolds." Studia Mathematica 190.1 (2009): 73-98. <http://eudml.org/doc/284454>.

@article{H2009,
abstract = {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 $L(log L)^\{α\}(^\{n-1\})$ condition on the kernel functions. Our results improve and extend some known results.},
author = {H. M. Al-Qassem, Y. Pan},
journal = {Studia Mathematica},
keywords = {Marcinkiewicz integrals; maximal operators; boundedness; rough kernel},
language = {eng},
number = {1},
pages = {73-98},
title = {On rough maximal operators and Marcinkiewicz integrals along submanifolds},
url = {http://eudml.org/doc/284454},
volume = {190},
year = {2009},
}

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
VL - 190
IS - 1
SP - 73
EP - 98
AB - 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 $L(log L)^{α}(^{n-1})$ condition on the kernel functions. Our results improve and extend some known results.
LA - eng
KW - Marcinkiewicz integrals; maximal operators; boundedness; rough kernel
UR - http://eudml.org/doc/284454
ER -