Abstract
Given a positive Radon measure μ on R d satisfying the linear growth condition μ(B(x,r))≤C 0rn,x∈R d,r>0, (1) where n is a fixed number and 0<n≤d. When d−1<n, it is proved that if T ∈,N 1=0, then the corresponding maximal Calderón-Zygmund singular integral is bounded from RBMO to itself only except that it is infinite μ-a.e. on R d.
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Supported by 973-project (G1999075105), NSFC (G10271107), RFDP (20030335019), ZJNSF (RC97017).
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Jiecheng, C., Xiangrong, Z. Maximal calderón-zygmund singular integral on RBMO. Appl. Math. Chin. Univ. 20, 316–322 (2005). https://doi.org/10.1007/s11766-005-0007-7
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DOI: https://doi.org/10.1007/s11766-005-0007-7