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Weighted Vector-Valued Inequalities for a Class of Multilinear Singular Integral Operators

Part of: Harmonic analysis in several variables

Published online by Cambridge University Press:  15 February 2018

Guoen Hu  and
Kangwei Li
Guoen Hu*
Affiliation:
Department of Applied Mathematics, Zhengzhou Information Science and Technology Institute, Zhengzhou 450001, People's Republic of China ([email protected])
Kangwei Li
Affiliation:
Department of Mathematics and Statistics, P.O.B. 68 (Gustaf Hällströmin katu 2b), FI-00014 University of Helsinki, Finland ([email protected])
*
*Corresponding author.
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Abstract

In this paper, some weighted vector-valued inequalities with multiple weights $A_{\vec P}$ (ℝmn)are established for a class of multilinear singular integral operators. The weighted estimates for the multi(sub)linear maximal operators which control the multilinear singular integral operators are also considered.

Keywords

vector-valued inequalitymultilinear singular integral operatornon-smooth kernelmultiple weight

MSC classification

Primary: 42B20: Singular and oscillatory integrals (Calderón-Zygmund, etc.)
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 61 , Issue 2 , May 2018 , pp. 413 - 436
Copyright
Copyright © Edinburgh Mathematical Society 2018 

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