Continua of bounded turning: chain condition and infinitesimal connectedness.
Continuous Measures on Homogenous Spaces
In this paper we generalize Wiener’s characterization of continuous measures to compact homogenous manifolds. In particular, we give necessary and sufficient conditions on probability measures on compact semisimple Lie groups and nilmanifolds to be continuous. The methods use only simple properties of heat kernels.
Continuous Newton method for starlike functions.
Continuous solutions of a homogeneous functional equation.
Continuously removable sets for quasiconformal mappings.
Contractive curves.
Convergence Proofs and Error Estimates for an Iterative Method for Conformal Mapping.
Convex and starlike criteria.
Convex and starlike functions
Convex combination of analytic functions
Radii of convexity, starlikeness, lemniscate starlikeness and close-to-convexity are determined for the convex combination of the identity map and a normalized convex function F given by f(z) = α z+(1−α)F(z).
Convex dynamics in Hele-Shaw cells.
Convex functions and the rolling circle criterion.
Convex functions in a half-plane.
Convex functions in a half-plane. II.
Convex hulls of polyominoes.
Convex integration and the theory of elliptic equations
This paper deals with the theory of linear elliptic partial differential equations with bounded measurable coefficients. We construct in two dimensions examples of weak and so-called very weak solutions, with critical integrability properties, both to isotropic equations and to equations in non-divergence form. These examples show that the general theory, developed in [1, 24] and [2], cannot be extended under any restriction on the essential range of the coefficients. Our constructions are based...
Convex meromorphic mappings
We study functions f(z) which are meromorphic and univalent in the unit disk with a simple pole at z = p, 0 < p < 1, and which map the unit disk onto a domain whose complement is either convex or is starlike with respect to a point w₀ ≠ 0.
Convexity of a class of functions related to classes of starlike functions and functions with boundary rotation
Convolution and differential subordination.
Convolution and differential subordination for multivalent functions.