Sharp weighted inequality for multilinear commutator of strongly singular integral operator
Kragujevac Journal of Mathematics, Tome 31 (2008), p. 131
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
Zbl
In this paper, we prove a sharp inequality for the multilinear commutator of strongly singular integral operator. By using this inequality, we obtain the weighted $L^p$-norm inequality for the multilinear commutator.
Classification :
42B20 42B25
Keywords: multilinear commutator, strongly singular integral operator, sharp inequality, BMO, $A_p$-weight.
Keywords: multilinear commutator, strongly singular integral operator, sharp inequality, BMO, $A_p$-weight.
Xiaosha Zhou. Sharp weighted inequality for multilinear commutator of strongly singular integral operator. Kragujevac Journal of Mathematics, Tome 31 (2008), p. 131 . http://geodesic.mathdoc.fr/item/KJM_2008_31_a10/
@article{KJM_2008_31_a10,
author = {Xiaosha Zhou},
title = {Sharp weighted inequality for multilinear commutator of strongly singular integral operator},
journal = {Kragujevac Journal of Mathematics},
pages = {131 },
year = {2008},
volume = {31},
zbl = {1199.47202},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KJM_2008_31_a10/}
}