Complex and Harmonic Analysis

Edited by: Anthony Carberry, Peter L. Duren, Dmitry Khavinson and Aristomenis G. Siskakis

ISBN: 978-1-932078-73-2, 2008, 332 pages, 6×9, Soft cover

 

This book contains 23 original and fully refereed chapters, developed from presentations at a conference at the Aristotle University of Thessaloniki, Greece, held in May 2006. The book represents a valuable overview of current research in the mathematical area of complex and harmonic analysis. Among the subjects investigated in this book are:

  • Geometric Function Theory and Complex Iteration
  • Function Spaces and Composition Operators
  • Extremal Problems, Potential Theory
  • Maximal Functions, Analysis on Manifolds

Preface
The Mathematical Work of Nikos Danikas
W. K. HAYMAN

Danikas Measures
V. NESTORIDIS

More Results on Functional Avoidance
P. LAPPAN

Schwarzian Derivatives of Analytic and Harmonic Functions
M. CHUAQUI, P. DUREN and B. OSGOOD

The Farthest Point Distance Function
S. J. GARDINER and I. NETUKA

A Survey of Certain Extremal Problems for Non-Vanishing Analytic Functions
C. BÉNÉTEAU and D. KHAVINSON

Iteration in the Unit Disk: The Parabolic Zoo
M. D. CONTRERAS, S. DÍAZ-MADRIGAL and C. POMMERENKE

Rigidity Results for Holomorphic Mappings on the Unit Disk
M. ELIN, M. LEVENSHTEIN, S. REICH and D. SHOIKHET

Geometry of Polynomials and Majorization Theory
E. S. KATSOPRINAKIS

Weighted Hardy Spaces for the Unit Disc: Approximation Properties
A. BOIVIN, P. M. GAUTHIER and C. ZHU

Composition Operators on the Minimal Space Invariant Under Möbius Transformations
O. BLASCO

The Characterization of the Carleson Measures for Analytic Besov Spaces: A Simple Proof
N. ARCOZZI, R. ROCHBERG and E. SAWYER

Analytic Besov-Type Spaces and Oscillation
N. ZORBOSKA
S-Toeplitz Composition Operators
V. MATACHE

Riemann-Stieltjes Operators Between Weighted Bergman Spaces
J. XIAO

Approximation by Translates of Entire Functions
G. COSTAKIS

Universal Taylor Series on a Non-Simply Connected Domain and Hadamard-Ostrowski Gaps
V. VLACHOU

Boundary Extension of m-Homeomorphisms
M. A. BRAKALOVA

Covering the Plane by Rotations of a Lattice Arrangement of Disks
A. IOSEVICH, M. N. KOLOUNTZAKIS and M. MATOLCSI

On Certain Hardy-Littlewood Type Maximal Operators
P. AVRAMIDOU

On the Restriction of the Fourier Transform to Polynomial Curves
S. DENDRINOS

Spectral Multipliers on Kleinian Groups
N. MANDOUVALOS and M. MARIAS

Bounds of the Heat Kernel Derivatives on Hyperbolic Spaces
N. MANDOUVALOS and T. E. TSELEPIDIS

Author Index

ISBN: 978-1-932078-73-2, 2008, 332 pages, 6×9, Soft cover

 

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