Holomorphic Q Classes: 1767 (Lecture Notes in Mathematics) - Softcover

Xiao, Jie

Softcover

ISBN 10: 3540426256 ISBN 13: 9783540426257

Verlag: Springer, 2008

Inhaltsangabe

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Reseña del editor

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.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2008
• ISBN 10: 3540426256
• ISBN 13: 9783540426257
• Einband: Tapa blanda
• Sprache: Englisch
• Anzahl der Seiten: 124
• Kontakt zum Hersteller: Nicht verfügbar