Title of article
On the norm of an integral operator and applications
Author/Authors
Bicheng Yang، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2006
Pages
11
From page
182
To page
192
Abstract
In this paper, the norm of an integral operator T :Lr (0,∞)→Lr (0,∞) (r >1) is obtained. As applications,
a new bilinear integral operator inequality with the norm and the equivalent forms are given, and
some new Hilbert’s type inequalities with the best constant factors as the particular cases are established.
© 2005 Elsevier Inc. All rights reserved
Keywords
Bilinear integral inequality , Hilbert’s type inequality , Beta function , norm , integral operator
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2006
Journal title
Journal of Mathematical Analysis and Applications
Record number
934705
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