Function Classes on the Unit Disc

Function Classes on the Unit Disc

2013 | 464 Pages | ISBN: 3110281236 | PDF | 2.4 MB

This monograph contains a study on various function classes, a number of new results and new or easy proofs of old results (Fefferman-Stein theorem on subharmonic behavior, theorems on conjugate functions and fractional integration on Bergman spaces, Fefferman's duality theorem), which are interesting for specialists; applications of the Hardy-Littlewood inequalities on Taylor coefficients to (C, ¦Á)-maximal theorems and (C, ¦Á)-convergence; a study of BMOA, due to Knese, based only on Green's formula; the problem of membership of singular inner functions in Besov and Hardy-Sobolev spaces; a full discussion of g-function (all p > 0) and Calder¨®n's area theorem; a new proof, due to Astala and Koskela, of the Littlewood-Paley inequality for univalent functions; and new results and proofs on Lipschitz spaces, coefficient multipliers and duality, including compact multipliers and multipliers on spaces with non-normal weights.

It also contains a discussion of analytic functions and lacunary series with values in quasi-Banach spaces with applications to function spaces and composition operators. Sixteen open questions are posed.

The reader is assumed to have a good foundation in Lebesgue integration, complex analysis, functional analysis, and Fourier series.

Download:

http://longfiles.com/k2i80amlum2y/Function_Classes_on_the_Unit_Disc.pdf.html

[Fast Download] Function Classes on the Unit Disc


Ebooks related to "Function Classes on the Unit Disc" :
McGraw-Hill ACT 2019 edition
The Early Mathematical Manuscripts of Leibniz
Mathematics of the Incas: Code of the Quipu
Robustness Theory and Application
The Bayesian Way: Introductory Statistics for Economists and Engineers
Elements of the Theory of Computation
Theoretische Physik 2: Elektrodynamik und spezielle Relativit?tstheorie (Springe
Differential Equations: A Problem Solving Approach Based on MATLAB
Dynamical Systems, the Three-Body Problem and Space Mission Design
Grammar-Based Feature Generation for Time-Series Prediction
Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.