2000, ISBN: 9781441919618

There has been a flurry of activity in recent years in the loosely defined area of holomorphic spaces. This book discusses the most well-known and widely used spaces of holomorphic functi… More...

There has been a flurry of activity in recent years in the loosely defined area of holomorphic spaces. This book discusses the most well-known and widely used spaces of holomorphic functions in the unit ball of C^n. Spaces discussed include the Bergman spaces, the Hardy spaces, the Bloch space, BMOA, the Dirichlet space, the Besov spaces, and the Lipschitz spaces. Most proofs in the book are new and simpler than the existing ones in the literature. The central idea in almost all these proofs is based on integral representations of holomorphic functions and elementary properties of the Bergman kernel, the Bergman metric, and the automorphism group. The unit ball was chosen as the setting since most results can be achieved there using straightforward formulas without much fuss. The book can be read comfortably by anyone familiar with single variable complex analysis; no prerequisite on several complex variables is required. The author has included exercises at the end of each chapter that vary greatly in the level of difficulty. Kehe Zhu is Professor of Mathematics at State University of New York at Albany. His previous books include Operator Theory in Function Spaces (Marcel Dekker 1990), Theory of Bergman Spaces, with H. Hedenmalm and B. Korenblum (Springer 2000), and An Introduction to Operator Algebras (CRC Press 1993)., Springer<

2010, ISBN: 9781441919618

Springer, Taschenbuch, Auflage: Softcover reprint of hardcover 1st ed. 2005, 284 Seiten, Publiziert: 2010-11-10T00:00:01Z, Produktgruppe: Buch, 0.89 kg, Analysis, Naturwissenschaft & Math… More...

Springer, Taschenbuch, Auflage: Softcover reprint of hardcover 1st ed. 2005, 284 Seiten, Publiziert: 2010-11-10T00:00:01Z, Produktgruppe: Buch, 0.89 kg, Analysis, Naturwissenschaft & Mathematik, Fachbücher, Kategorien, Bücher, Naturwissenschaften & Technik, Taschenbücher, Fremdsprachige Bücher, Englische Bücher, Springer, 2010<

2010, ISBN: 9781441919618

Springer, Paperback, Auflage: Softcover reprint of hardcover 1st ed. 2005, 284 Seiten, Publiziert: 2010-11-10T00:00:01Z, Produktgruppe: Book, 0.4 kg, Complex Analysis, Mathematical Analys… More...

Springer, Paperback, Auflage: Softcover reprint of hardcover 1st ed. 2005, 284 Seiten, Publiziert: 2010-11-10T00:00:01Z, Produktgruppe: Book, 0.4 kg, Complex Analysis, Mathematical Analysis, Mathematics, Science, Nature & Maths, Subjects, Books, Calculus & Mathematical Analysis, Scientific, Technical & Medical, Springer, 2010<

2010, ISBN: 1441919619

Hardcover

Softcover reprint of hardcover 1st ed. 2005 Kartoniert / Broschiert Mathematische Analysis, allgemein, Complexanalysis; boundedmeanoscillation; holomorphicfunction; Integral, mit Schutz… More...

Softcover reprint of hardcover 1st ed. 2005 Kartoniert / Broschiert Mathematische Analysis, allgemein, Complexanalysis; boundedmeanoscillation; holomorphicfunction; Integral, mit Schutzumschlag 11, [PU:Springer New York; Springer US, New York, N.Y.]<

ISBN: 9781441919618

New. Can be used as a graduate text Contains many exercises Contains new results, 6