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Holomorphic Q Classes (Lecture Notes in Mathematics) [Paperback]

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Item description for Holomorphic Q Classes (Lecture Notes in Mathematics) by Jie Xiao...

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.

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Item Specifications...

Pages   112
Est. Packaging Dimensions:   Length: 0.25" Width: 6" Height: 9"
Weight:   0.45 lbs.
Binding  Softcover
Release Date   Nov 28, 2001
Publisher   Springer
ISBN  3540426256  
ISBN13  9783540426257  

Availability  61 units.
Availability accurate as of May 26, 2017 11:09.
Usually ships within one to two business days from La Vergne, TN.
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1Books > Subjects > Business & Investing > Economics > General
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8Books > Subjects > Science > Mathematics > General
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10Books > Subjects > Science > Mathematics > Pure Mathematics > Functional Analysis

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