Theory of Bergman Spaces
By: by Haakan Hedenmalm, Boris Korenblum, Kehe Zhu
Contributors: Korenblum, Boris; Zhu, Kehe
Series: Graduate Texts in Mathematics -- 199; Graduate texts in mathematics -- 199.
Publisher: Springer New York
Published: 2000
Place of publication: New York, NY
Language: eng
Format: [electronic resource] /
Number of pages: 289
ISBN-13: 9781461267898; 9781461204978
Subjects: Mathematics; Global analysis (Mathematics)
Description: Preliminary Text. Do not use. 15 years ago the function theory and operator theory connected with the Hardy spaces was well understood (zeros; factorization; interpolation; invariant subspaces; Toeplitz and Hankel operators, etc.). None of the techniques that led to all the information about Hardy spaces worked on their close relatives the Bergman spaces. Most mathematicians who worked in the intersection of function theory and operator theory thought that progress on the Bergman spaces was unlikely. Now the situation has completely changed. Today there are rich theories describing the Bergman spaces and their operators. Research interest and research activity in the area has been high for several years. A book is badly needed on Bergman spaces and the three authors are the right people to write it.
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Table of contents: title: The Bergman Spaces; title: The Berezin Transform; title: A^p-Inner Functions; title: Zero Sets for Bergman Spaces; title: Invariant Subspaces; title: Interpolation and Sampling; title: Cyclic Vectors.