AN EQUIVALENT PROPERTY OF A HILBERT-TYPE INTEGRAL INEQUALITY AND ITS APPLICATIONS.

Making use of complex analytic techniques as well as methods involving weight functions, we study a few equivalent conditions of a Hilbert-type integral inequality with nonhomogeneous kernel and parameters. In the form of applications we deduce a few equivalent conditions of a Hilbert-type integral inequality with homogeneous kernel, and we additionally consider operator expressions. [ABSTRACT FROM AUTHOR]