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Bergman Spaces and Related Topics in Complex Analysis

Alexander Borichev, Håran Hedenmalm, and Kehe Zhu
Publisher: 
American Mathematical Society
Publication Date: 
2006
Number of Pages: 
205
Format: 
Paperback
Series: 
Contemporary Mathematics 404
Price: 
69.00
ISBN: 
0821837125
Category: 
Festschrift
We do not plan to review this book.

Preface vii

A Word from the Organizers ix

List of Participants xi

Conference Program xv

Opening Words by Kristian Seip xvii

Publications of Boris Korenblum xix

Invariant Subspaces for the Backward Shift on Hilbert Spaces

of Analytic Functions with Regular Norm

Alexandru Aleman, Stefan Richter, and Carl Sundberg 1

Surjectivity and Invariant Subspaces of Differential Operators

on Weighted Bergman Spaces of Entire Functions

Aharon Atzmon and Bruno Brive 27

Exceptional Values and the MacLane Class A Karl F. Barth and Philip J. Rippon 41

Operators on Weighted Bergman Spaces

Oscar Blasco 53

A Wiener Tauberian Theorem for Weighted Convolution Algebras

of Zonal Functions on the Automorphism Group of the Unit Disc

Anders Dahlner 67

Domination on Sets and in Norm

Walter K. Hayman 103

Extensions of the Asymptotic Maximum Principle

Charles Horowitz and Bernard Pinchuk 111

Singularity Resolution of Weighted Bergman Kernels

Stefan Jakobsson 121

Blaschke Sets for Bergman Spaces

Boris Korenblum 145

Phragm´en-Lindel¨of-type Problems for Aα

Xavier Massaneda and Pascal J. Thomas 153

v

vi CONTENTS

A Representation Formula for Reproducing Subharmonic Functions

in the Unit Disc

Anders Olofsson 165

On Dominating Sets for Bergman Spaces

Fernando P´erez-Gonz´alez and Julio C. Ramos 175

Trigonometric Obstacle Problem and Weak Factorization

Serguei Shimorin 187

A Sharp Norm Estimate of the Bergman Projection on Lp Spaces

Kehe Zhu 199