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
TABLE OF CONTENTS: 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. BÃ?NÃ?TEAU and D. KHAVINSON
Iteration in the Unit Disk: The Parabolic Zoo M. D. CONTRERAS, S. DÃAZ-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