The Equivalence of Two Weak Bieberbach Conjectures.
The existence of quasimeromorphic mappings.
The extreme points of a class of functions with positive real part.
The extremum problem for analytic functions with finite area integral.
The fall of the doubling condition in Calderón-Zygmund theory.
The most important results of standard Calderón-Zygmund theory have recently been extended to very general non-homogeneous contexts. In this survey paper we describe these extensions and their striking applications to removability problems for bounded analytic functions. We also discuss some of the techniques that allow us to dispense with the doubling condition in dealing with singular integrals. Special attention is paid to the Cauchy Integral.[Proceedings of the 6th International Conference on...
The Fekete–Szegö problem for a class of analytic functions defined by Carlson–Shaffer operator
In the present investigation we solve Fekete-Szegö problem for the generalized linear differential operator. In particular, our theorems contain corresponding results for various subclasses of strongly starlike and strongly convex functions
The Fekete-Szegő theorem for close-to-convex functions of the class .
The fifth and sixth coefficients of -close-to-convex functions
The free quasiworld. Freely quasiconformal and related maps in Banach spaces
The generalized Neumann-Poincaré operator and its spectrum [Book]
The growth of entire and harmonic functions along asymptotic paths.
The harmonic and quasiconformal extension operators
Different aspects of the boundary value problem for quasiconformal mappings and Teichmüller spaces are expressed in a unified form by the use of the trace and extension operators. Moreover, some new results on harmonic and quasiconformal extensions are included.
The Hilbert-Smith conjecture for quasiconformal actions.
The homogeneous transfinite diameter of a compact subset of
Let K be a compact subset of . A sequence of nonnegative numbers defined by means of extremal points of K with respect to homogeneous polynomials is proved to be convergent. Its limit is called the homogeneous transfinite diameter of K. A few properties of this diameter are given and its value for some compact subsets of is computed.
The hyperbolic Gauss map and quasiconformal reflections.
The hyperbolic metric in a rectangle. II.
The hyperbolic metric of a rectangle.
The integral means spectrum for lacunary series.
The integral operator on the class.
The integral operator on the class.