Analysis in Banach Spaces

Beschreibung

Presents a thorough study of the basic randomisation techniques and the operator-theoretic aspects of the theory.


Offers the first comprehensive treatment of R-boundedness, Banach space-valued square functions and ?-radonifying operators Develops their deep connections with the holomorphic functional calculus of sectorial and bi-sectorial operators Offers a self-contained presentation and complete, detailed proofs of results in both the core and the background material

Autor*in

Tuomas Hytönen

Themen in »Analysis in Banach Spaces«

46Bxx, 35Kxx, 47Axx, 60Hxx, 42Bxx R-boundedness Square Function Estimates Radonifying operators probability in Banach spaces H∞ functional calculus partial differential equations

Stimmen zu »Analysis in Banach Spaces«

“The book will become an invaluable reference for graduate students and researchers. Those interested in functional analysis, harmonic analysis and stochastic analysis will appreciate the detailed treatment of the theory of R-boundedness, radonifying operators and holomorphic functional calculus developed over the last 20 years.” (Oscar Blasco, zbMATH 1402.46002, 2019)
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