Iranian Mathematical SocietyJournal of the Iranian Mathematical Society2717-16122120210301On a Hilbert-type integral inequality in the whole plane395114119910.30504/jims.2021.309063.1044ENM. Th.RassiasDepartment of Mathematics and Engineering Sciences,
Hellenic Military Academy,
16673 Vari Attikis, GreeceB.YangDepartment of Mathematics, Guangdong University of
Education, Guangzhou, Guangdong
510303, P. R. ChinaG. C.MeletiouUniversity of Ioannina, Ioannina, Greece.Journal Article20211005Using weight functions and techniques of real analysis, a new Hilbert-type integral inequality in the whole plane with nonhomogeneous kernel and a best possible constant factor is proved. Equivalent forms, several particular inequalities and operator expressions are considered.http://jims.ims.ir/article_141199_a726440e0929ea956c8fa65786aab4ca.pdf