Compactness of Fractional Type Integral Operators on Spaces of Homogeneous Type

被引：0
|
作者：
Kokilashvili V. [1 ]
Meskhi A. [1 ,2 ]
机构：
[1] A. Razmadze Mathematical Institute, I. Javakhishvili Tbilisi State University, 2, Merab Aleksidze II Lane, Tbilisi
[2] School of Mathematics, Kutaisi International University, 5th Lane, K Building, Kutaisi
来源：
Journal of Mathematical Sciences | 2022年 / 268卷 / 3期
关键词：
D O I：
10.1007/s10958-022-06202-2
中图分类号：
学科分类号：
摘要：
For a space (X, d, μ) of homogeneous type and a fractional type integral operator Kα defined on (X, d, μ) we find a necessary and sufficient condition on the exponent q governing the compactness of Kαfrom Lp(X) to Lq(X), where 1 ≤ p, q < ∞ and μ(X) < ∞. © 2022, Springer Science+Business Media, LLC, part of Springer Nature.
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页码：368 / 375
页数：7
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