In the book being proffered, there is set forth a theory of wide classes of convex functions which play an important role in many branches of mathematics. The theory of Orrick spaces (normed spaces, a particular case of which are spaces LP) is developed in detail and its applications are shown.nThe book is designed for mathematicians (students of advanced courses, for aspirants and scientific workers) engaged in functional analysis and its application, and also in different problems of the theory of functions.
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