Equivalent conditions of a multiple Hilbert-Type integral inequality with the nonhomogeneous kernel.

Autor: Rassias, Michael Th., Yang, Bicheng, Raigorodskii, Andrei
Zdroj: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales / RACSAM; Jul2022, Vol. 116 Issue 3, p1-16, 16p
Abstrakt: In this paper we prove equivalent conditions of a multiple Hilbert-type integral inequality with the general nonhomogeneous kernel and multi-parameters, using weight functions and employing methods of real analysis. We also deduce the related results for the case of homogeneous kernel as well as derive operator expressions with the norm. Finally, several examples with particular kernels are considered as well. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index