In this paper the authors give the weak type (1,1) boundedness and the $L^p$ boundedness of a class of the parametrized Littlewood-Paley operators. These conclusions improve and complete some known results.
Publié le : 2005-01-14
Classification:
Littlewood-Paley $\g_\lambda^*$ function,
area integral,
weak boundedness,
42B25,
47G10
@article{1160745821,
author = {DING, Yong and XUE, Qingying},
title = {Weak type (1, 1) bounds for a class of the Littlewood-Paley operators},
journal = {J. Math. Soc. Japan},
volume = {57},
number = {4},
year = {2005},
pages = { 183-194},
language = {en},
url = {http://dml.mathdoc.fr/item/1160745821}
}
DING, Yong; XUE, Qingying. Weak type (1, 1) bounds for a class of the Littlewood-Paley operators. J. Math. Soc. Japan, Tome 57 (2005) no. 4, pp. 183-194. http://gdmltest.u-ga.fr/item/1160745821/