Abstract
Given a positive Radon measure μ on Rd satisfying the linear growth condition μ(B(x,r))≤C0rn,x∈Rd,r>0, (1) where n is a fixed number and 0<n≤d. When d−1<n, it is proved that if T∈,N1=0, then the corresponding maximal Calderon-Zygmund singular integral is bounded from RBMO to itself only except that it is infinite μ-a.e. on Rd.
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