Spaces of Holomorphic Functions in the Unit Ball

The book presents a modern theory of holomorphic function spaces in the open unit ball. 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 proofs 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 ... Read More

The book presents a modern theory of holomorphic function spaces in the open unit ball. 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 proofs 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. Read Less

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  	This is a digital edition of this title. Rent eBook (5 Options) 30 Day Rental: $21.00 (Expires Jun 28, 2024) 60 Day Rental: $28.00 (Expires Jul 28, 2024) 90 Day Rental: $35.00 (Expires Aug 27, 2024) 120 Day Rental: $42.00 (Expires Sep 26, 2024) 180 Day Rental: $45.50 (Expires Nov 25, 2024) Buy eBook Lifetime Access: $69.99 Title: Spaces of Holomorphic Functions in the Unit Ball by Kehe Zhu Publisher: Springer Nature Print ISBN: 9780387220369, 0387220364 eText ISBN: 9780387275390 Edition: 2005 2005 edition Format: PDF eBook	$21.00 Rent eBook This is a digital eBook Nothing will be shipped to you Works with web browsers and the VitalSource app on all Windows, Mac, Chromebook, Kindle Fire, iOS, and Android devices Most eBooks are returnable within 14 days of purchase Questions? See our eBook FAQ