Weighted estimates for multilinear commutators of Marcinkiewicz integrals with bounded kernel

• Published in: Український математичний журнал
• Date: 2014
• Main Authors: Wu, Jianglong, Liu, Qingguo
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2014
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/166063
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Weighted estimates for multilinear commutators of Marcinkiewicz integrals with bounded kernel / Jianglong Wu, Qingguo Liu // Український математичний журнал. — 2014. — Т. 66, № 4. — С. 538–550. — Бібліогр.: 18 назв. — англ.

Let μΩ,b→ be a multilinear commutator generalized by the n-dimensional Marcinkiewicz integral with bounded kernel μ Ώ and let bj ∈OscexpLrj , 1 ≤ j ≤ m. We prove the following weighted inequalities for ω ∈ A ∞ and 0 < p < ∞: The weighted weak L(log L)1/r -type estimate is also established f...