Results 1 to 10 of about 39 (37)
Partial slice regularity and Fueter's theorem in several quaternionic variables
Complex Manifolds, 2023 We extend some definitions and give new results about the theory of slice analysis in several quaternionic variables. The sets of slice functions that are slice, slice regular, and circular with respect to given variables are characterized.
Binosi Giulio
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Demonstratio Mathematica, 2023 Let Sγ,A,B∗(D){S}_{\gamma ,A,B}^{\ast }\left({\mathbb{D}}) be the usual class of gg-starlike functions of complex order γ\gamma in the unit disk D={ζ∈C:∣ζ∣
Sima Xiaoying +2 more
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g-Loewner chains, Bloch functions and extension operators into the family of locally biholomorphic mappings in infinite dimensional spaces [PDF]
, 2022 In this paper, we survey recent results obtained by the authors on the preservations of the first elements of (g-) Loewner chains and the Bloch mappings by the Roper-Suffridge type extension operators, the Muir type extension opera- tors and the ...
HAMADA, Hidetaka +3 more
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Linear invariance and extension operators of Pfaltzgraff–Suffridge type [PDF]
, 2022 We consider the image of a linear-invariant family F of normalized locally biholomorphic mappings defined in the Euclidean unit ball Bn of Cn under the extension operator Φn,m,β [f ](z, w) = (f (z), [Jf (z)]βw\, (z, w) ∈ Bn+m ⊆ Cn × Cm, where β ∈ C,
MUIR, Jr. , Jerry R.
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Professor GABRIELA KOHR – A life for research. In memoriam [PDF]
, 2022 We review the main contributions of Professor Gabriela Kohr in her studies in the Geometric function theory in several complex variables and complex Banach spaces with special emphasis on the theory of Loewner chains and the Loewner differential equation.
SĂLĂGEAN, Grigore Ștefan +1 more
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Distortion of boundary sets under inner functions. II [PDF]
, 1996 33 pages, no figures.-- MSC2000 codes: 32A30, 30C85, 30D50.MR#: MR1379286 (97b:30035)Zbl#: Zbl 0847.32005We present a study of the metric transformation properties of inner functions of several complex variables.
Pestana, Domingo +2 more
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Sufficient conditions of boundedness of L-index and analog of Hayman\u27s Theorem for analytic functions in a ball [PDF]
, 2018 We generalize some criteria of boundedness of L-index in joint variables for analytic in an unit ball functions. Our propositions give an estimate maximum modulus of the analytic function on a skeleton in polydisc with the larger radii by maximum modulus
BANDURA, Andriy, SKASKIV, Oleh
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Quasiconformal curves and quasiconformal maps in metric spaces
Analysis and Geometry in Metric SpacesIn this article, we study quasiconformal curves which are a special case of quasiregular curves. Namely embeddings Ω→Rm\Omega \to {{\mathbb{R}}}^{m} from some domain Ω⊂Rn\Omega \subset {{\mathbb{R}}}^{n} to Rm{{\mathbb{R}}}^{m}, where n≤mn\le m, belong ...
Hitruhin Lauri, Tsantaris Athanasios
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Fekete–Szegö problems for (β, Φ)-spirllike mapping of complex order γ in Banach space
Demonstratio MathematicaIn this paper, we establish the sharp Fekete–Szegö inequalities of functional type over a new class of holomorphic mappings on the unit ball in a complex Banach space. This class includes some important widely studied classes. We offer simpler proofs and
Xiong Liangpeng, Yu Fang, Wang Qingchao
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Hyperbolic Double-Complex Laplace Operator [PDF]
, 2012 2010 Mathematics Subject Classification: 35G35, 32A30, 30G35.In this paper is introduced the hyperbolic double-complex Laplace operator. The hyperbolic decomplexification of the hyperbolic doublecomplex Laplace operator and its characteristic set is ...
N. Apostolova, Lilia
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