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
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
收藏
页码:447 / 450
页数:4
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