On a Multiple Hilbert-Type Integral Operator and Applications | Zendy

Qiliang Huang | Zendy; Bicheng Yang | Zendy

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On a Multiple Hilbert-Type Integral Operator and Applications

Author(s) -

Qiliang Huang,

Bicheng Yang

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 - 10.1155/2009/192197

Subject(s) - mathematics , operator (biology) , operator norm , kernel (algebra) , homogeneous , hilbert space , norm (philosophy) , type (biology) , reproducing kernel hilbert space , pure mathematics , algebra over a field , mathematical analysis , combinatorics , ecology , biochemistry , chemistry , repressor , biology , transcription factor , gene , political science , law

By using the way of weight functions and the technic of real analysis, a multiple Hilbert-type integral operator with the homogeneous kernel of −λ-degree (λ∈R) and its norm are considered. As for applications, two equivalent inequalities with the best constant factors, the reverses, and some particular norms are obtained

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