The Dirichlet space is one of the three fundamental Hilbert spaces of holomorphic functions on the unit disk. It boasts a rich and beautiful theory, yet at the

The study of the classical Dirichlet space is one of the central topics on the intersection of the theory of holomorphic functions and functional analysis. It w

The focus program on Analytic Function Spaces and their Applications took place at Fields Institute from July 1st to December 31st, 2021. Hilbert spaces of anal

This book contains both expository articles and original research in the areas of function theory and operator theory. The contributions include extended versio

A self-contained textbook which opens up this challenging field to newcomers and points to areas of future research.