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.

引用

页码：368 / 375

页数：7

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