The rademacher system in function spaces. (2020)

• Record Type: Book
• Further Information: Note: Sergey V. Astashkin.
• Authors: Astashkin, Sergey V
• Contents: Rademacher functions in L_p-spaces.- The Rademacher system in symmetric spaces situated "far" from L_\infty.- The Rademacher system in symmetric spaces situated "close" to L_\infty.- Rademacher sums with vector coefficients.- Best constants in the Khintchine and Kahane-Khintchine inequalities.- The Rademacher chaos in symmetric spaces.- The comparison of systems of random variables.- The extraction of lacunary subsystems.- Extreme properties of the Rademacher system.- Bernoulli processes.- Rademacher multiplicator spaces.- Some versions of the Khintchine inequality.- Martingale transforms of the Rademacher sequence in symmetric spaces.- Rademacher functions in BMO and Paley spaces.- Rademacher functions in Cesaro type spaces.- Rademacher functions in Morrey spaces.- Appendix A. Some preliminaries from probability theory.- Appendix B. Basic sequences and lacunary systems.- Appendix C. Banach function lattices and symmetric spaces.- Appendix D. Interpolation of operators and spaces of the real method of interpolation.
• Publisher Details: Cham, Switzerland : Springer Nature
• Publication Date: 2020
• Extent: 1 online resource
• Subjects: 515.7; Functional analysis; Function spaces; Operator theory; Banach spaces; Integral transforms; Electronic books
• Languages: English
• ISBNs: 9783030478902; 3030478904
• Related ISBNs: 9783030478896
• Notes: Note: Online resource; title from PDF title page (EBSCO, viewed September 8, 2020).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.