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The Rademacher System in Function Spaces (Paperback, 1st ed. 2020)
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The Rademacher System in Function Spaces (Paperback, 1st ed. 2020)
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This book presents a systematic treatment of the Rademacher system,
one of the most important unifying concepts in mathematics, and
includes a number of recent important and beautiful results related
to the Rademacher functions. The book discusses the relationship
between the properties of the Rademacher system and geometry of
some function spaces. It consists of three parts, in which this
system is considered respectively in Lp-spaces, in general
symmetric spaces and in certain classes of non-symmetric spaces
(BMO, Paley, Cesaro, Morrey). The presentation is clear and
transparent, providing all main results with detailed proofs.
Moreover, literary and historical comments are given at the end of
each chapter. This book will be suitable for graduate students and
researchers interested in functional analysis, theory of functions
and geometry of Banach spaces.
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