A Hilbert-type operator with a symmetric homogeneous kernel of two parameters and its applications
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초록

We introduce a general homogeneous kernel whose degree is given by two parameters to establish the equivalent inequalities with the norm of a new Hilbert-type operator. As applications, we provide new extended Hilbert-type inequalities with the best possible constant factors.

키워드

Hilbert-type operatorHilbert-type inequalitybeta functionkernelnormINTEGRAL INEQUALITYNORM
제목
A Hilbert-type operator with a symmetric homogeneous kernel of two parameters and its applications
저자
Seo, Keomkyo
DOI
10.1186/s13660-015-0788-z
발행일
2015-09
유형
Article
저널명
Journal of Inequalities and Applications
2015
1
페이지
14 ~ 14