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SHS investigation development is considered from the geographical and historical viewpoint. 3 stages are described. Within Stage 1 the work was carried out in the Department of the Institute of Chemical Physics in Chernogolovka where the scientific discovery had been made. At Stage 2 the interest to SHS arose in different cities and towns of the former USSR. Within Stage 3 SHS entered the international scene. Now SHS processes and products are being studied in more than 50 countries.
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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Authors:Bentham Science Books