Sharp weighted inequality for multilinear commutator of strongly singular integral operator
Kragujevac Journal of Mathematics, Tome 31 (2008), p. 131
Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
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.
@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/}
}
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/