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INTERIOR ESTIMATES IN MORREY SPACES FOR SOLUTIONS OF ELLIPTIC EQUATIONS AND WEIGHTED BOUNDEDNESS FOR COMMUTATORS OF SING
It is proved that, for the nondivergence elliptic equations ∑in, j=1 aijuxixj = f,if f belongs to the generalized Morrey spaces Lp,ψ(ω), then uxixj ∈ Lp,ψ(ω), where u is the W2,p-solution of the equations. In order to obtain this, the author first establish the weighted boundedness for the commutators of some singular integral operators on Lp,ψ (ω).
作 者： Liu Lanzhe 作者单位： College of Mathematics and Computer, Changsha University of Science and Technology Changsha 410077, China 刊 名： 数学物理学报（英文版） ISTIC SCI 英文刊名： ACTA MATHEMATICA SCIENTIA 年，卷(期)： 2005 25(1) 分类号： 关键词： Nondivergence elliptic equation generalized Morrey space commutator of singular integral operator Ap weight【INTERIOR ESTIMATES IN MORREY SPACES 】相关文章：
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