Generalized Hörmander’s Conditions, Commutators and Weights

Abstract

We present a general framework to deal with commutators of singular integral operators with BMO functions. Hörmander type conditions associated with Young functions are assumed on the kernels. Coifman type estimates, weighted norm inequalities and two-weight estimates are considered. We give applications to homogeneous singular integrals, Fourier multipliers and one-sided operators. J. Math. Anal. Appl. 342 (2008), no. 2, 1399--1425

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