Sub-Hardy Hilbert Spaces in the Unit Disk

ISBN-13: 9780471048978 / Angielski / Twarda / 1994 / 112 str.

Donald Sarason;Sarason

Opis

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.

Spis treści

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.