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Weighted endpoint estimates for commutators of Marcinkiewicz integrals
Authors:Pu Zhang
Affiliation:1. Department of Mathematics, Mudanjiang Teachers College, Mudanjiang, 157012, P. R. China
Abstract:Let μ Ω,b m be the commutator generalized by μ Ω, the n-dimensional Marcinkiewicz integral, and b ∈ BMO(ℝ n ). The author establishes the weighted weak L log L-type estimates for μ Ω,b m when Ω satisfies a kind of Dini conditions, which improves the known result essentially.
Keywords:Marcinkiewicz integral   commutator   BMO(R^n)   Ap weights
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