TRACE INEQUALITIES FOR FRACTIONAL INTEGRALS IN CENTRAL MORREY SPACES

被引：0

作者：

Imerlishvili, Giorgi ^{[1
,2
]}

机构：

[1] Georgian Tech Univ, Fac Informat & Control Syst, 6Building,77 Kostava, Tbilisi 0175, Georgia

[2] Javakhishvili Tbilisi State Univ, A Razmadze Math Inst 1, 2 Merab Aleksidze 2Lane, Tbilisi 0193, Georgia

来源：

TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE | 2022年 / 176卷 / 03期

基金：

美国国家科学基金会;

关键词：

Trace inequalities; Fractional integrals; Central Morrey spaces; Quasi-metric measure spaces; Space of homogeneous type; Boundedness;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the trace inequality for fractional integrals K-alpha in central Morrey spaces. In particular, we establish necessary condition and sufficient condition governing the inequality vertical bar vertical bar K(alpha)f vertical bar vertical bar(q,lambda 2)(La) (X,nu) <= C vertical bar vertical bar f vertical bar vertical bar (p,lambda 1)(La) (X,mu)(,) where (X, rho, mu) is a space of homogeneous type, a is a point in X and nu is another measure on X. As a corollary, we have necessary and sufficient conditions on power-type weights d nu (x) = d(a, x)(beta)d mu(x) for the trace inequality. The results are new even for the Euclidean spaces.

引用

页码：447 / 450

页数：4

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