Hilbert-Type Integral Inequalities

2. Hilbert-Type Integral Inequalities with Multi-Parameters

Author(s): Bicheng Yang

Pp: 14-41 (28)

Doi: 10.2174/978160805055010901010014

* (Excluding Mailing and Handling)

Abstract

In this chapter, we build some Hilbert-type integral inequalities with two pairs of conjugate exponents and an independent parameter, and consider their operator characterizations. The equivalent forms and the reverses are also given. Some sufficient conditions of bounded operator are established and a number of particular inequalities are deduced. The proofs of some basic theorems are used the limit theorems in the theory of Lebesgue integrals and the technique of real analysis.

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