Verallgemeinerung eines Bieberbachschen Satzes.
Verification of Brannan and Clunie's conjecture for certain subclasses of bi-univalent functions
Let σ denote the class of bi-univalent functions f, that is, both f(z) = z + a₂z² + ⋯ and its inverse are analytic and univalent on the unit disk. We consider the classes of strongly bi-close-to-convex functions of order α and of bi-close-to-convex functions of order β, which turn out to be subclasses of σ. We obtain upper bounds for |a₂| and |a₃| for those classes. Moreover, we verify Brannan and Clunie’s conjecture |a₂| ≤ √2 for some of our classes. In addition, we obtain the Fekete-Szegö relation...
Versions of Koebe 1/4 Theorem for Analytic and Quasiregular Harmonic Functions and Applications
Verzerrungsaussagen bei quasikonformen Abbildungen mit ortsabhängiger Dilationsbeschränkung und ein Extremalprinzip der Elektrostatik in inhomogenen Medien.
Voisinages connexes des points de Misiurewicz
On montre que tout point de Misiurewicz dans l’ensemble de Mandelbrot possède un système fondamental de voisinages connexes dans .
Volterra-type operators on Zygmund spaces.
Vorlesungen über die hypergeometrische Funktion [Book]
Wall properties of domains in euclidean spaces.
Wandering domains and invariant conformal structures for mappings of the 2-torus.
Wann sind die Grunskyschen Koeffizientenbedingungen hinreichend für Q-quasikonforme Fortsetzbarkeit?
Weak Chord-Arc Curves and Double-Dome Quasisymmetric Spheres
Let Ω be a planar Jordan domain and α > 0. We consider double-dome-like surfaces Σ(Ω, tα) over Ω where the height of the surface over any point x ∈ Ωequals dist(x, ∂Ω)α. We identify the necessary and sufficient conditions in terms of and α so that these surfaces are quasisymmetric to S2 and we show that Σ(Ω, tα) is quasisymmetric to the unit sphere S2 if and only if it is linearly locally connected and Ahlfors 2-regular.
Weak inequalities for exit times and analytic functions
Weak slice conditions, product domains, and quasiconformal mappings.
We investigate geometric conditions related to Hölder imbeddings, and show, among other things, that the only bounded Euclidean domains of the form U x V that are quasiconformally equivalent to inner uniform domains are inner uniform domains.
Weakly starlike logharmonic mappings.
Weakly sufficient sets for A-∞(D).
In the space A-∞(D) of functions of polynomial growth, weakly sufficient sets are those such that the topology induced by restriction to the set coincides with the topology of the original space. Horowitz, Korenblum and Pinchuk defined sampling sets for A-∞(D) as those such that the restriction of a function to the set determines the type of growth of the function. We show that sampling sets are always weakly sufficient, that weakly sufficient sets are always of uniqueness, and provide examples...
Weighted differentiation composition operators from the mixed-norm space to the th weigthed-type space on the unit disk.
Weighted distortion in conformal mapping in Euclidean, hyperbolic and elliptic geometry.
Weighted polynomial approximation in the complex plane.
Weighted Sobolev and Poincaré Inequalities and Quasiregular Mappings of Polynomial Type.
Whitney covers and quasi-isometry of -averaging domains.