Hausdorff dimension of quasi-circles
Hausdorff measure of the singular set of quasiregular maps on Carnot groups.
Heating of the Beurling operator: Sufficient conditions for the two-weight case
We establish sufficient conditions on the two weights w and v so that the Beurling-Ahlfors transform acts continuously from to L²(v). Our conditions are simple estimates involving heat extensions and Green’s potentials of the weights.
Hebbare Singularitäten quasikonformer Abbildungen und lokal beschränkter holomorpher Funktionen.
Heights of powers of Newman and Littlewood polynomials
Hencky-Prandtl nets and constant principal strain mappings with isolated singularities.
Hénon mappings in the complex domain I : the global topology of dynamical space
Hermite interpolation and an inequality for entire functions of exponential type.
Hermitean Cauchy integral decomposition of continuous functions on hypersurfaces.
Hermitian composition operators on Hardy-Smirnov spaces
Let Ω be an open simply connected proper subset of the complex plane and φ an analytic self map of Ω. If f is in the Hardy-Smirnov space defined on Ω, then the operator that takes f to f ⃘ φ is a composition operator. We show that for any Ω, analytic self maps that induce bounded Hermitian composition operators are of the form Φ(w) = aw + b where a is a real number. For ceratin Ω, we completely describe values of a and b that induce bounded Hermitian composition operators.
Hermitian-Toeplitz determinants and some coefficient functionals for the starlike functions
In this paper, we have determined the sharp lower and upper bounds on the fourth-order Hermitian-Toeplitz determinant for starlike functions with real coefficients. We also obtained the sharp bounds on the Hermitian-Toeplitz determinants of inverse and logarithmic coefficients for starlike functions with complex coefficients. Sharp bounds on the modulus of differences and difference of moduli of logarithmic and inverse coefficients are obtained. In our investigation, it has been found that the bound...
H-holomorfne funkcije
Higher order Euler-like methods.
Higher order Schwarzian derivatives in interval dynamics
We introduce an infinite sequence of higher order Schwarzian derivatives closely related to the theory of monotone matrix functions. We generalize the classical Koebe lemma to maps with positive Schwarzian derivatives up to some order, obtaining control over derivatives of high order. For a large class of multimodal interval maps we show that all inverse branches of first return maps to sufficiently small neighbourhoods of critical values have their higher order Schwarzian derivatives positive up...
Higher Schwarzian operators and combinatorics of the Schwarzian derivative.
Higher-order linear differential equations with solutions having a prescribed sequence of zeros and lying in the Dirichlet space
The aim of this paper is to consider the following three problems:i (1) for a given uniformly q-separated sequence satisfying certain conditions, find a coefficient function A(z) analytic in the unit disc such that f”’ + A(z)f = 0 possesses a solution having zeros precisely at the points of this sequence; (2) find necessary and sufficient conditions for the differential equation (*) in the unit disc to be Blaschke-oscillatory; (3) find sufficient conditions on the analytic coefficients of the...
Hilbert-Smith Conjecture for K - Quasiconformal Groups
MSC 2010: 30C60A more general version of Hilbert's fifth problem, called the Hilbert-Smith conjecture, asserts that among all locally compact topological groups only Lie groups can act effectively on finite-dimensional manifolds. We give a solution of the Hilbert-Smith Conjecture for K - quasiconformal groups acting on domains in the extended n - dimensional Euclidean space.
Hitchin' s self-duality equations on complete Riemannian manifolds.
Hochschild homology and cohomology of Klein surfaces.
Hölder continuity of conformal mappings and non-quasiconformal Jordan curves.