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25 Remote Warehouse Mathematics- Calculus

Other titles in the Lecture Notes in Computer Science series:

Holomorphic Q Classes

by

Holomorphic Q Classes Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

The space Q p consists of all holomorphic functions f on the unit disk for which the L2 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>

Table of Contents

Fundamentel Material.- Composite Embedding.- Series Expansions.- Modified Carleson Measures.- Inner-Outer Structure.- Pseudo-holomorphic Extension.- Representation via /bar/partial-equation.- Dyadic Localization.- References.- Index.

Product Details

ISBN:
9783540426257
Author:
Xiao, Jie
Publisher:
Springer
Author:
Xiao, J.
Location:
Berlin, Heidelberg
Subject:
General
Subject:
Calculus
Subject:
Economics
Subject:
Holomorphic functions.
Subject:
Fonctions holomorphes
Subject:
Economics - General
Subject:
Mathematics-Calculus
Subject:
Mathematical Analysis
Subject:
Functions of a complex variable.
Subject:
Potential theory
Subject:
Mathematics
Subject:
Language, literature and biography
Subject:
mathematics and statistics
Subject:
Functions of complex variables
Subject:
Potential theory (mathematics)
Copyright:
Edition Description:
Book
Series:
Lecture Notes in Mathematics
Series Volume:
1767
Publication Date:
20011128
Binding:
TRADE PAPER
Language:
English
Pages:
120
Dimensions:
235 x 155 mm 410 gr

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Product details 120 pages Springer-Verlag Telos - English 9783540426257 Reviews:
"Synopsis" by , The space Q p consists of all holomorphic functions f on the unit disk for which the L2 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>
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