Global Regularity in Generalized Morrey Spaces of Solutions to Nondivergence Elliptic Equations with VMO Coefficients
Global Regularity in Generalized Morrey Spaces of Solutions to Nondivergence Elliptic Equations with VMO Coefficients
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DOI：
10.1007/s11118-012-9299-4
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发表时间：
2013
影响因子：
1.1
通讯作者：
V. Guliyev;L. Softova
中科院分区：
文献类型：
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作者：
V. Guliyev;L. Softova
本文证明了由Calderón-Zygmund算子生成的次线性积分算子及其与BMO函数的交换算子在广义Morrey空间中的连续性.利用所得估计研究了线性一致椭圆算子Dirichlet问题解的整体正则性。
We show continuity in generalized Morrey spaces of sublinear integral operators generated by Calderón-Zygmund operator and their commutators withBMOfunctions. The obtained estimates are used to study global regularity of the solution of the Dirichlet problem for linear uniformly elliptic operators.