带变量核的分数次积分算子与局部Campanato函数生成的交换子在广义局部Morrey空间的有界性(英文)
发布时间:2018-10-18 08:19
【摘要】:设T_(Ω,a)是带变量核的分数次积分算子.本文证明了T_(Ω,α)在广义局部Morrey空间LM_(p,φ)~{x_0}的有界性,进一步还考虑了由T_(Ω,α)与局部Campanato函数生成的多线性交换子在广义局部Morrey空间的有界性.
[Abstract]:Let T _ (惟, a) be a fractional integral operator with variable kernels. In this paper, we prove the boundedness of T _ (惟, 伪) in generalized local Morrey space LM_ (p, 蠁) ~ {x _ class _ 0}. Furthermore, we consider the boundedness of multilinear commutators generated by T _ (惟, 伪) and local Campanato functions in generalized local Morrey spaces.
【作者单位】: 北京邮电大学理学院;
【基金】:supported by NSFC(No.11601035,No.11471050)
【分类号】:O177
[Abstract]:Let T _ (惟, a) be a fractional integral operator with variable kernels. In this paper, we prove the boundedness of T _ (惟, 伪) in generalized local Morrey space LM_ (p, 蠁) ~ {x _ class _ 0}. Furthermore, we consider the boundedness of multilinear commutators generated by T _ (惟, 伪) and local Campanato functions in generalized local Morrey spaces.
【作者单位】: 北京邮电大学理学院;
【基金】:supported by NSFC(No.11601035,No.11471050)
【分类号】:O177
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