2018Proceedings of the Edinburgh Mathematical SocietyOpen access

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

Guoen Hu, Kangwei Li

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Abstract

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.

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What this paper is about

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.

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Available abstract

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.

Key concepts: Multilinear map, Singular integral operators, Mathematics, Class (philosophy), Singular integral, Pure mathematics, Operator theory, Inequality

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