Representation Theorems in Hardy Spaces

Author: Javad Mashreghi
Publisher: Cambridge University Press
ISBN: 9780521517683
Release Date: 2009-03-19
Genre: Mathematics

This self-contained text provides an introduction to a wide range of representation theorems and provides a complete description of the representation theorems with direct proofs for both classes of Hardy spaces: Hardy spaces of the open unit disc and Hardy spaces of the upper half plane.

Catherine Beneteau Alberto A Condori Constanze Liaw William T Ross and Alan A Sola

Author: Catherine Bénéteau:
Publisher: American Mathematical Soc.
ISBN: 9781470423056
Release Date: 2016-12-22
Genre: Analytic functions

This volume contains the Proceedings of the Conference on Completeness Problems, Carleson Measures, and Spaces of Analytic Functions, held from June 29–July 3, 2015, at the Institut Mittag-Leffler, Djursholm, Sweden. The conference brought together experienced researchers and promising young mathematicians from many countries to discuss recent progress made in function theory, model spaces, completeness problems, and Carleson measures. This volume contains articles covering cutting-edge research questions, as well as longer survey papers and a report on the problem session that contains a collection of attractive open problems in complex and harmonic analysis.

The Theory of H b Spaces

Author: Emmanuel Fricain
Publisher: Cambridge University Press
ISBN: 9781107027770
Release Date: 2015-04-30
Genre: Mathematics

In two volumes, this comprehensive treatment covers all that is needed to understand and appreciate this beautiful branch of mathematics.

Introduction to Model Spaces and their Operators

Author: Stephan Ramon Garcia
Publisher: Cambridge University Press
ISBN: 9781107108745
Release Date: 2016-05-06
Genre: Mathematics

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

A Primer on the Dirichlet Space

Author: Omar El-Fallah
Publisher: Cambridge University Press
ISBN: 9781107729773
Release Date: 2014-01-16
Genre: Mathematics

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 same time remains a source of challenging open problems and a subject of active mathematical research. This book is the first systematic account of the Dirichlet space, assembling results previously only found in scattered research articles, and improving upon many of the proofs. Topics treated include: the Douglas and Carleson formulas for the Dirichlet integral, reproducing kernels, boundary behaviour and capacity, zero sets and uniqueness sets, multipliers, interpolation, Carleson measures, composition operators, local Dirichlet spaces, shift-invariant subspaces, and cyclicity. Special features include a self-contained treatment of capacity, including the strong-type inequality. The book will be valuable to researchers in function theory, and with over 100 exercises it is also suitable for self-study by graduate students.

Books in Series

Author:
Publisher:
ISBN: STANFORD:36105015640415
Release Date: 1979
Genre: Monographic series