WEAK TYPE (H~1, L~1 ) ESTIMATE FOR COMMUTATOR OF MARCINKIEWICZ INTEGRAL

摘要

Let μ_(Ω, b) be the commutator generalized by the n-dimensional Marcinkiewicz integral μ_Ω and a function b ∈ BMO(R~n). It is proved that μ_(Ω, b) is bounded from the Hardy space H~1(R~n) into the weak L~1(R~n) space.