Lipschitz estimates for commutator of fractional integral operators on non-homogeneous metric measure spaces

被引：0
|
作者：
Ding-huai Wang
Jiang Zhou
Bo-lin Ma
机构：
[1] Anhui Normal University,School of Mathematics and Statistics
[2] Xinjiang University,College of Mathematics and System Sciences
[3] Jiaxing University,College of Science and Information Engineering
来源：
Applied Mathematics-A Journal of Chinese Universities | 2020年 / 35卷
关键词：
Non-homogeneous space; Fractional integral; Lipschitz function; Commutator; Endpoint estimate; 47B47; 42B25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, the authors establish the (Lp(μ), Lq(μ))-type estimate for fractional commutator generated by fractional integral operators Tα with Lipschitz functions (b ∈ Lipβ (μ)), where 1 <p < 1/(α + β) and 1/q = 1/p– (α + β), and obtain their weak (L1(μ), L1/(1–α–β) (μ))-type. Moreover, the authors also consider the boundedness in the case that 1 /(α+β) < p < 1/α, 1/α ≤ p ≤ ∞ and the endpoint cases, namely, p = 1/(α + β).
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页码：253 / 264
页数：11
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