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Holomorphic Q Classes (Paperback, 2001 ed.) Loot Price: R1,174
Discovery Miles 11 740
Holomorphic Q Classes (Paperback, 2001 ed.): Jie Xiao

Holomorphic Q Classes (Paperback, 2001 ed.)

Jie Xiao

Series: Lecture Notes in Mathematics, 1767

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Loot Price R1,174 Discovery Miles 11 740 | Repayment Terms: R110 pm x 12*

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The space Q p consists of all holomorphic functions f on the unit disk for which the L^2 area integrals of its derivative against the p-th power of the Green function of the unit disk are uniformly bounded in the variable that survives the integration. It turns out that Q 1 coincides with BMOA, while, for p>1, Q p are just the Bloch space. For p/in (0,1) the Q p furnish an increasing sequence of spaces, each invariant under conformal mappings of the unit disk onto itself, which interpolate between the Dirichlet space and BMOA. This monograph covers a number of important aspects in complex, functional and harmonic analysis. The primary focus is Q p, p/in (0,1), and their equivalent characterizations. Based on the up-to-date results obtained by experts in their respective fields, each of the eight chapters unfolds from the basics to the more complex. The exposition here is rapid-paced and efficient, with proofs and examples.

General

Imprint: Springer-Verlag
Country of origin: Germany
Series: Lecture Notes in Mathematics, 1767
Release date: 2001
First published: 2001
Authors: Jie Xiao
Dimensions: 235 x 155 x 6mm (L x W x T)
Format: Paperback
Pages: 104
Edition: 2001 ed.
ISBN-13: 978-3-540-42625-7
Categories: Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis
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LSN: 3-540-42625-6
Barcode: 9783540426257

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