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Sub-Hardy Hilbert Spaces in the Unit Disk Donald Sarason (University of California, Berkeley)

Sub-Hardy Hilbert Spaces in the Unit Disk By Donald Sarason (University of California, Berkeley)

Sub-Hardy Hilbert Spaces in the Unit Disk by Donald Sarason (University of California, Berkeley)


Summary

This monograph describes a family of Hilbert spaces of holomorphic functions in the unit disk. It also develops the basic structure of de Branges-Rovnyak spaces and some of the function-theoretical connections between these spaces.

Sub-Hardy Hilbert Spaces in the Unit Disk Summary

Sub-Hardy Hilbert Spaces in the Unit Disk by Donald Sarason (University of California, Berkeley)

This up-to-date account brings together results previously scattered throughout the literature as well as new material in the area of function theory. The focus is on describing some of what has been learned thus far about the structure of the de Branges-Rovnyak spaces and their function-theoretic connections.

About Donald Sarason (University of California, Berkeley)

Donald Erik Sarason was an American mathematician who made fundamental advances in the areas of Hardy space theory and VMO. He was one of the most popular doctoral advisors in the Mathematics Department at UC Berkeley. He supervised 39 Ph.D. theses at UC Berkeley.

Table of Contents

Hilbert Spaces Inside Hilbert Spaces.

Hilbert Spaces Inside H?.

Cauchy Integral Representations.

Nonextreme Points.

Extreme Points.

Angular Derivatives.

Higher Derivatives.

Equality of H(b) and H().

Equality of H(b) and M(a).

Near Equality of H(b) and M(a).

Brief Mention of a Few Additional Topics.

References.

Supplementary References.

Index.

Additional information

NPB9780471048978
9780471048978
0471048976
Sub-Hardy Hilbert Spaces in the Unit Disk by Donald Sarason (University of California, Berkeley)
New
Hardback
John Wiley & Sons Inc
1994-10-04
112
N/A
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