AMS Bookstore LOGO amslogo
Return to List  Item: 1 of 1   
Banach Spaces of Analytic Functions
Edited by: Rita A. Hibschweiler, University of New Hampshire, Durham, NH, and Thomas H. MacGregor, State University of New York at Albany, NY
cover
SEARCH THIS BOOK:

Contemporary Mathematics
2008; 147 pp; softcover
Volume: 454
ISBN-10: 0-8218-4268-4
ISBN-13: 978-0-8218-4268-3
List Price: US$61
Member Price: US$48.80
Order Code: CONM/454
[Add Item]

Request Permissions

This volume is focused on Banach spaces of functions analytic in the open unit disc, such as the classical Hardy and Bergman spaces, and weighted versions of these spaces. Other spaces under consideration here include the Bloch space, the families of Cauchy transforms and fractional Cauchy transforms, BMO, VMO, and the Fock space. Some of the work deals with questions about functions in several complex variables.

Multiplication operators, composition operators and weighted composition operators form a central topic of the volume. This topic has been an extensive area of research for the past twenty years. This volume includes results characterizing bounded, compact and isometric composition operators in various settings.

Graduate students who are interested in analysis will find an overview of current work in the field. Specialists will find interesting questions and new methods, as well as familiar ideas (such as composition operators) seen in new settings or in more general form. Mathematicians with an interest in modern analysis will gain insight into the interplay between function theory and operator theory which is central to this work.

Readership

Graduate students and research mathematicians interested in function theory and operator theory.

Powered by MathJax
Return to List  Item: 1 of 1   

  AMS Home | Comments: webmaster@ams.org
© Copyright 2014, American Mathematical Society
Privacy Statement

AMS Social

AMS and Social Media LinkedIn Facebook Podcasts Twitter YouTube RSS Feeds Blogs Wikipedia