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...
Mating quadratic maps with Kleinian groups via quasiconformal surgery.
Mating quadratic maps with the modular group.
Matrices for Fenchel-Nielsen coordinates.
Matrix transformations and disk of convergence in interpolation processes.
Maximal groups of automorphisms of compact Riemann surfaces in various classes of finite groups.
Maximal real Schottky groups.
Let S be a real closed Riemann surfaces together a reflection τ : S ---> S, that is, an anticonformal involution with fixed points. A well known fact due to C. L. May asserts that the group K(S, τ), consisting on all automorphisms ...
Maximal virtual Schottky groups: explicit constructions.
Maximally convergent rational approximants of meromorphic functions
Let f be meromorphic on the compact set E ⊂ C with maximal Green domain of meromorphy , ρ(f) < ∞. We investigate rational approximants of f on E with numerator degree ≤ n and denominator degree ≤ mₙ. We show that a geometric convergence rate of order on E implies uniform maximal convergence in m₁-measure inside if mₙ = o(n/log n) as n → ∞. If mₙ = o(n), n → ∞, then maximal convergence in capacity inside can be proved at least for a subsequence Λ ⊂ ℕ. Moreover, an analogue of Walsh’s...
Maximalschlichte Konkretisierung Riemannscher Flächen.