T

TP Hytonen

6 records found

Authored

Analysis in Banach Spaces

Volume III. Harmonic Analysis and Spectral Theory

This third volume of Analysis in Banach Spaces offers a systematic treatment of Banach space-valued singular integrals, Fourier transforms, and function spaces. It further develops and ramifies the theory of functional calculus from Volume II and describes applications of these n ...

Analysis in Banach Spaces

Volume II. Probabilistic Methods and Operator Theory

This second volume of Analysis in Banach Spaces, Probabilistic Methods and Operator Theory, is the successor to Volume I, Martingales and Littlewood-Paley Theory. It presents a thorough study of the fundamental randomisation techniques and the operator-theoretic aspects of the th ...

Analysis in Banach Spaces

Volume I: Martingales and Littlewood-Paley Theory

The present volume develops the theory of integration in Banach spaces, martingales and UMD spaces, and culminates in a treatment of the Hilbert transform, Littlewood-Paley theory and the vector-valued Mihlin multiplier theorem.
Over the past fifteen years, motivated by regul ...
Recent theorems on singular convolution operators are combined with new Fourier embedding results to prove strong multiplier theorems on various function spaces (including Besov, Lebesgue-Bôchner, and Hardy). All the results apply to operator-valued multipliers acting on vector-v ...