The Local Trace Inequality for Potential Type Integral Operators
Tanaka H.a, Gunawan H.b
a Graduate School of Mathematical Sciences, The University of Tokyo, Japan
b Department of Mathematics, Bandung Institute of Technology, Indonesia
Abstract
The local trace inequality for potential type integral operator is shown and the trace inequality in the framework of Morrey spaces is obtained. A sufficient condition for the equivalence between the Kerman-Sawyer condition and the Adams condition is also presented. © 2012 Springer Science+Business Media B.V.
Author keywords
Indexed keywords
Morrey space,Potential type integral operator,The Adams inequality,The Olsen inequality,Trace inequality
Funding details
The first author is supported by the Global COE program at Graduate School of Mathematical Sciences, the University of Tokyo, Grant-in-Aid for Scientific Research (C) (No. 23540187), Japan Society for the Promotion of Science, and was supported by Fu¯ jyukai Foundation.