Generalized Moisil-Théodoresco systems and Cauchy integral decompositions.
Generalized multidimensional Hilbert transforms in Clifford analysis.
Generalized Newton-like inequalities.
Generalized Problem of Sratlikeness for Products of P-Valent Starlike Functions
∗ Partially supported by grant No. 433/94 NSF of the Ministry of Education and Science of the Republic of Bulgaria 1991 Mathematics Subject Classification:30C45We consider functions of the type, j=1 ... n, F(z) = z^p ∏ [ fj (z)/(z^p) ] ^αj where fj are p-valent functions starlike of order αj and aj are complex numbers. The problem we solve is to find conditions for the centre and the radius of the disc {z : |z − ω| < r}, contained in the unit disc {z : |z| < 1} and containing the origin,...
Generalized problem of starlikeness for products of close-to-star functions
We consider functions of the type , where are real numbers and are -strongly close-to-starlike functions of order . We look for conditions on the center and radius of the disk (a,r) = z:|z-a| < r, |a| < r ≤ 1 - |a|, ensuring that F((a,r)) is a domain starlike with respect to the origin.
Generalized Quadratic mean Function of entire Functions Defined by Dirichlet series (I)
Generalized Quadratic Mean Function of Entire Functions Defined by Dirichlet Series (III)
Generalized quadratic mean Functions of Entire Functions Defined by Dirichlet Series
Generators for algebras dense in -spaces
For various -spaces (1 ≤ p < ∞) we investigate the minimum number of complex-valued functions needed to generate an algebra dense in the space. The results depend crucially on the regularity imposed on the generators. For μ a positive regular Borel measure on a compact metric space there always exists a single bounded measurable function that generates an algebra dense in . For M a Riemannian manifold-with-boundary of finite volume there always exists a single continuous function that generates...
Generic power series on subsets of the unit disk
We examine the boundary behaviour of the generic power series with coefficients chosen from a fixed bounded set in the sense of Baire category. Notably, we prove that for any open subset of the unit disk with a nonreal boundary point on the unit circle, is a dense set of . As it is demonstrated, this conclusion does not necessarily hold for arbitrary open sets accumulating to the unit circle. To complement these results, a characterization of coefficient sets having this property is given....
Genus 3 normal coverings of the Riemann sphere branched over 4 points.
In this paper we study the 5 families of genus 3 compact Riemann surfaces which are normal coverings of the Riemann sphere branched over 4 points from very different aspects: their moduli spaces, the uniform Belyi functions that factorize through the quotient by the automorphism groups and the Weierstrass points of the non hyperelliptic families.
Geodesic cycles and the Weil representation I ; quotients of hyperbolic space and Siegel modular forms
Geodesics on Riemann surfaces with ramification points of order greater than two.
Geometric and approximation properties of some singular integrals in the unit disk.
Geometric characterization for affine mappings and Teichmüller mappings
We characterize affine mappings on the unit disk and on rectangles by module conditions. The main result generalizes the classic Schwarz lemma. As an application, we give a sufficient condition for a K-quasiconformal mapping on a Riemann surface to be a Teichmüller mapping.
Geometric characterization for homeomorphisms between disks
We give some characterizations for certain homeomorphisms between disks in the complex plane, and we prove some Schwarz type theorems for such homeomorphisms. Our results replace the main result of Chen [Studia Math. 157 (2003)] which we show to be false.
Geometric characterization of hyperelliptic Riemann surfaces.
Geometric finiteness and uniqueness for Kleinian groups with circle packing limit sets.
Geometric intersection numbers on a five-punctured sphere.
Geometric properties of composition operators belonging to Schatten classes.