Mapping properties of log log g' (z)
Mapping properties of some classes of analytic functions under a general integral operator defined by the Hadamard product
Mappings of domains in and their metric tensors.
Mappings of finite distortion: Compactness.
Mappings of finite distortion: composition operator.
Mappings of finite distortion : discreteness and openness for quasi-light mappings
Mappings of finite distortion: formation of cusps.
In this paper we consider the extensions of quasiconformal mappings f: B → Ωs to the whole plane, when the domain Ωs is a domain with a cusp of degree s > 0 and thus not an quasidisc. While these mappings do not have quasiconformal extensions, they may have extensions that are homeomorphic mappings of finite distortion with an exponentially integrable distortion, but in such a case ∫2B exp(λK(x)) dx = ∞ for all λ > 1/s. Conversely, for a given s > 0 such a mapping is constructed...
Mappings of finite distortion: Global homeomorphism theorem.
Mappings of finite distortion: Removability of Cantor sets.
Mappings of finite distortion: sharp Orlicz-conditions.
We establish continuity, openness and discreteness, and the condition (N) for mappings of finite distortion under minimal integrability assumptions on the distortion.
Mappings of finite distortion: The zero set of the Jacobian
Mappings with bounded distortion on Heisenberg groups.
Mappings with dilatation in Orlicz spaces.
Markov and Bernstein type inequalities for polynomials.
Markov convexity and local rigidity of distorted metrics
It is shown that a Banach space admits an equivalent norm whose modulus of uniform convexity has power-type if and only if it is Markov -convex. Counterexamples are constructed to natural questions related to isomorphic uniform convexity of metric spaces, showing in particular that tree metrics fail to have the dichotomy property.
Markov inequality in several variables. (Inégalité de Markov en plusieurs variables.)
Markov maps associated with fuchsian groups
Mass functions of bounded variation and starlikeness
Mathematical problems of tomography and hyperbolic mappings.
Mathematical treatment for thermoelastic plate with a curvilinear hole in S-plane
The Cauchy integral method has been applied to derive exact and closed expressions for Goursat's functions for the first and second fundamental problems for an infinite thermoelastic plate weakened by a hole having arbitrary shape. The plate considered is conformally mapped to the area of the right half-plane. Many previous discussions of various authors can be considered as special cases of this work. The shape of the hole being an ellipse, a crescent, a triangle, or a cut having the shape of a...