Weighted norm inequalities of various square functions and Volterra integral operators on the unit ball

2024/08/25 by Changbao Pang, Pang, Changbao, Maofa Wang +5
Mathematics · #Mathematical Inequalities and Applications #Analytic and geometric function theory #Differential Equations and Boundary Problems

paper · pdf · doi:10.48550/arxiv.2408.13726

Abstract

In this paper, we investigate various square functions on the complex unit ball. We prove the weighted inequalities of the Lusin area integral associated with Poisson integral in terms of A_p weights for all 1

Related

• Weighted square function estimates
• Sharp weighted norm inequalities for Littlewood-Paley operators and singular integrals
• Weighted L^p estimates for the area integral associated to self-adjoint operators
• Gradient of solution of the Poisson equation in the unit ball and related operators
• Sharp Weighted L² inequalities for square functions