齐型空间上多线性位势型积分算子交换子的加权有界性
发布时间：2019-01-23 16:40
【摘要】：本文讨论齐型空间上多线性位势型积分算子与BMO函数构成的交换子的加权不等式.齐型空间可看作Rn的推广,因此研究其上各类积分算子的加权有界性有理论意义和应用价值.齐型空间上的多线性位势型积分算子为其中核函数K(x,y)是非负可测函数,满足某些增长性条件.TK与BMO函数b(b1,…,bm)构成的交换子为对于多线性位势型积分算子交换子,本文得到双权不等式成立的Ap型充分条件.同时给出了下列关于任意权的加权不等式：(1)若0p≤1,则存在C0,使得对任意的权ω和f,(2)若p1,则存在常数C0,使得对任意的权ω和f,
[Abstract]:In this paper, we discuss the weighted inequalities of commutators composed of multiple linear potential type integral operators and BMO functions on homogeneous spaces. The homogeneous space can be regarded as a generalization of Rn, so it is of theoretical significance and practical value to study the weighted boundedness of all kinds of integral operators on it. The integral operator of multilinear potential type on a homogeneous space is a nonnegative measurable function in which the kernel function K (XY) satisfies some growth conditions. TK and BMO function b (b1, 鈥，
本文编号：2414008
[Abstract]:In this paper, we discuss the weighted inequalities of commutators composed of multiple linear potential type integral operators and BMO functions on homogeneous spaces. The homogeneous space can be regarded as a generalization of Rn, so it is of theoretical significance and practical value to study the weighted boundedness of all kinds of integral operators on it. The integral operator of multilinear potential type on a homogeneous space is a nonnegative measurable function in which the kernel function K (XY) satisfies some growth conditions. TK and BMO function b (b1, 鈥，
本文编号：2414008
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