Results 11 to 20 of about 14,879 (215)
Correspondences between convex geometry and complex geometry [PDF]
Épijournal de Géométrie Algébrique, 2017 We present several analogies between convex geometry and the theory of holomorphic line bundles on smooth projective varieties or K\"ahler manifolds. We study the relation between positive products and mixed volumes.
Brian Lehmann, Jian Xiao
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Smale's mean value conjecture for finite Blaschke products [PDF]
, 2016 Motivated by a dictionary between polynomials and finite Blaschke products, we study both Smale's mean value conjecture and its dual conjecture for finite Blaschke products in this paper.
Ng, Tuen-Wai, Zhang, Yongquan
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Integral mean of Green’s potentials and their conjugate
Karpatsʹkì Matematičnì Publìkacìï, 2013 The best possible estimates for Lebesgue integral means $m_q(r,F); (1le q
Vasyl'kiv, Ya. V., Kravec, M. Ya.
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Advances in Mathematics, 2013 We consider the classical problem of maximizing the derivative at a fixed point over the set of all bounded analytic functions in the unit disk with prescribed critical points. We show that the extremal function is essentially unique and always an indestructible Blaschke product. This result extends the Nehari--Schwarz Lemma and leads to a new class of
Kraus, Daniela, Roth, Oliver
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Derivatives of Blaschke products [PDF]
Pacific Journal of Mathematics, 1984 This paper is a study of the behavior of the derivative of an infinite Blaschke product, focusing on membership of the derivative B' or fractional derivatives \(B^{\beta}\) in the classes \(A^{p,\alpha}\).
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Blaschke inductive limits of uniform algebras
International Journal of Mathematics and Mathematical Sciences, 2001 We consider and study Blaschke inductive limit algebrasA(b), defined as inductive limits of disc algebras A(D) linked by a sequence b={Bk}k=1∞ of finite Blaschke products.
S. A. Grigoryan, T. V. Tonev
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Inner Functions in Lipschitz, Besov, and Sobolev Spaces
Abstract and Applied Analysis, 2011 We study the membership of inner functions in Besov, Lipschitz, and Hardy-Sobolev spaces, finding conditions that enable an inner function to be in one of these spaces.
Daniel Girela +2 more
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Pontryagin de Branges Rovnyak spaces of slice hyperholomorphic functions [PDF]
, 2012 We study reproducing kernel Hilbert and Pontryagin spaces of slice hyperholomorphic functions which are analogs of the Hilbert spaces of analytic functions introduced by de Branges and Rovnyak.
Alpay, Daniel +2 more
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Blaschke product generated covering surfaces [PDF]
Mathematica Bohemica, 2009 Summary: It is known that, under very general conditions, Blaschke products generate branched covering surfaces of the Riemann sphere. We are presenting here a method of finding fundamental domains of such coverings and we are studying the corresponding groups of covering transformations.
Barza, Ilie, Ghisa, Dorin
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Maximal subalgebra of Douglas algebra
International Journal of Mathematics and Mathematical Sciences, 1988 When q is an interpolating Blaschke product, we find necessary and sufficient conditions for a subalgebra B of H∞[q¯] to be a maximal subalgebra in terms of the nonanalytic points of the noninvertible interpolating Blaschke products in B. If the set M(B)⋂
Carroll J. Gullory
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