Rademacher Functions in the Cesàro Type Spaces

Sergey V. Astashkin
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Sergey V. Astashkin: Samara National Research University

Chapter Chapter 15 in The Rademacher System in Function Spaces, 2020, pp 469-490 from Springer

Abstract: Abstract It is well known that the norms of many Banach spaces, playing a significant role in functional analysis and its applications, are generated by positive sublinear operators and the L p-norms. In particular, rather simple and both important spaces of such a type are the Cesàro spaces Ces p, 1 ≤ p ≤∞. In this chapter, we investigate the behaviour of the Rademacher system in function spaces of the Cesàro type.

Date: 2020
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DOI: 10.1007/978-3-030-47890-2_15

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