Open AccessOn a Hilbert-Type Operator with a Class of Homogeneous Kernels
Author(s) -
Yang Bi-cheng
Publication year - 2009
Publication title -
journal of inequalities and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.735
H-Index - 50
eISSN - 1029-242X
pISSN - 1025-5834
DOI - 10.1155/2009/572176
Subject(s) - mathematics , homogeneous , operator (biology) , operator norm , type (biology) , norm (philosophy) , class (philosophy) , hilbert space , pure mathematics , hermitian adjoint , nuclear operator , mathematical analysis , quasinormal operator , finite rank operator , combinatorics , ecology , biochemistry , chemistry , repressor , artificial intelligence , biology , transcription factor , computer science , gene , banach space , political science , law
By using the way of weight coefficient and the theory of operators, we define a Hilbert-type operator with a class of homogeneous kernels and obtain its norm. As applications, an extended basic theorem on Hilbert-type inequalities with the decreasing homogeneous kernels of −λ-degree is established, and some particular cases are considered
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