奇异积分算子的加权Triebel-Lizorkin有界性

Boundedness of the singuder integral operator in weighted Triebel-Lizorkin space.

利用Littlewood—Paley分解及变测度插值方法，研究了一类奇异积分算子TΩ,b的性质，得到了当1〈p，s〈∞，α∈R，q〉1，h∈L^∞（R^＋），Ω∈Bq^0.0[S^（n-1）]，和w∈Ap（R^-）时，TΩ,b为Fp^a,s（w）有界．

By using Littlewood-Paley decomposion and the interpolation of operators with change of measures, the properties of a class of singular integral operator TΩ,b are studied, and the boundedness of operator TΩ,b from Fp^a,s（w） to itself is proved when 1〈p,s〈∞,α∈R,q〉1,h∈L^∞（R^＋）,Ω∈Bq^0.0[S^（n-1）], and w∈Ap（R^-）.