Representation Theorems in Hardy Spaces

Author: Javad Mashreghi

Publisher: Cambridge University Press

ISBN: 0521517680

Category: Mathematics

Page: 372

View: 4292

DOWNLOAD NOW »

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.
Release

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

Author: Catherine Bénéteau:,Alberto A. Condori,Constanze Liaw,William T. Ross,Alan A. Sola

Publisher: American Mathematical Soc.

ISBN: 1470423057

Category: Analytic functions

Page: 217

View: 4971

DOWNLOAD NOW »

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.
Release

A Primer on the Dirichlet Space

Author: Omar El-Fallah,Karim Kellay,Javad Mashreghi,Thomas Ransford

Publisher: Cambridge University Press

ISBN: 1107729777

Category: Mathematics

Page: 227

View: 5286

DOWNLOAD NOW »

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.
Release