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Book synopsis

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.

Book details

Book category Books in English Mathematics & science Mathematics Calculus & mathematical analysis

• Full title: Holomorphic Q Classes
• Author: Jie Xiao
• Language: English
• Binding: Paperback
• Number of pages: 104
• EAN: 9783540426257
• ISBN: 3540426256
• ID: 01563805
• Publisher: Springer, Berlin
• Weight: 224 g
• Dimensions: 238 × 156 × 6 mm
• Published: 2001

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