Results 11 to 20 of about 1,183 (204)
Two-Point Distortion Theorems for Harmonic Mappings
Bulletin of the Malaysian Mathematical Sciences Society, 2023 We establish two-point distortion theorems for sense-preserving planar harmonic mappings $f=h+\overline{g}$ which satisfies the univalence criteria in the unit disc such that, Becker's and Nehari`s harmonic version. In addition, we find the sharp two-point distortion theorem when $h$ is a convex function, and normalized mappings such that $h(\D)$ is a $
Rodrigo Hernández +2 more
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The Distortion Theorems for Harmonic Mappings with Analytic Parts Convex or Starlike Functions of Order β [PDF]
Journal of Mathematics, 2015 Some sharp estimates of coefficients, distortion, and growth for harmonic mappings with analytic parts convex or starlike functions of order β are obtained. We also give area estimates and covering theorems.
Mengkun Zhu, Xinzhong Huang
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Distortion Type Theorems for Functions in the Logarithmic Bloch Space [PDF]
Journal of Function Spaces, 2017 We establish distortion type theorems for locally schlicht functions and for functions having branch points satisfying a normalized Bloch condition in the closed unit ball of the logarithmic Bloch space Blog.
Armando J. García-Ortíz +2 more
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Distortion theorems for quasiconformal mappings [PDF]
, 2011 L'any 1994, Astala publicà el reconegut teorema de distorió de l'àrea per aplicacions quasiconformes, un resultat innovador que va permetre que n'apareguessin nombrosos més dins d'aquest camp de l'anàlisi durant la darrera dècada. Ens centrem en les conseqüències que té en la distorsió de la mesura de Hausdorff. Seguim la demostració de Lacey, Sawyer i
Universitat Autònoma de Barcelona. Departament de Matemàtiques +2 more
core +5 more sources
Mathematics, 2021 A class of p-valent analytic functions is introduced using the q-difference operator and the familiar Janowski functions. Several properties of functions in the class, such as the Fekete–Szegö inequality, coefficient estimates, necessary and sufficient ...
Bo Wang, Rekha Srivastava, Jin-Lin Liu
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Distortion theorems for Bloch functions [PDF]
Transactions of the American Mathematical Society, 1992 We establish various distortion theorems for both normalized locally schlicht Bloch functions and normalized Bloch function with branch points. These distortion theorems give lower bounds on either
Liu, Xiangyang, Minda, David
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The optimality of James’s distortion theorems [PDF]
Proceedings of the American Mathematical Society, 1997 A renorming of ℓ 1
Dowling, P. N. +3 more
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Remarks on James's distortion theorems II [PDF]
Bulletin of the Australian Mathematical Society, 1999 If a Banach space X contains a complemented subspace isomorphic to ℓ1 and if ε > 0, then there exists a subspace Y of X and a projection P from X onto Y such that Y is (1 + ε)-isometric to ℓ1 and ∥P∥ ≤ 1 + ε. A stronger result for c0 is proved for Banach spaces whose dual unit ball is weak sequentially compact.
Dowling, Patrick N. +2 more
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On complemented versions of James’s distortion theorems [PDF]
Proceedings of the American Mathematical Society, 2007 Examples are given to show that two natural questions asked in Dowling, Randrianantoanina, and Turett, 1999, about complemented versions of James’s distortion theorems have negative answers.
Johnson, William B. +1 more
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Distortion Theorems in the Theory of Schlicht Functions [PDF]
Nagoya Mathematical Journal, 1950 Let be the family of analytic functions F(z) which are regular and schlicht in the circle E: |z| < 1 and normalized at the origin such that F(0) = 0 and F′(0) = 1. Let be the subfamily of consisting of all functions, each of which possesses, as boundary of its image-domain., a closed Jordan curve which is supposed to be regular analytic. Then is
Nagura, Shohei, Komatu, Yusaku
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