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Complex Variables, Theory and Application: An International Journal Volume 33, 1997 - Issue 1-4
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Original Articles

Distortion of locally biholomorphic maps of the N-Ball

John A. Pfaltzgraff Department of Mathematics, University of North Carolina, CB 3250, Chapel Hill, NC, 27599–3250
Pages 239-253 | Published online: 29 May 2007

Citations (15)

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Read on this site (5)

Martin Chuaqui & Rodrigo Hernández. (2023) Families of homomorphic mappings in the polydisk. Complex Variables and Elliptic Equations 0:0, pages 1-21.
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Ian Graham, Hidetaka Hamada & Gabriela Kohr. (2020) Loewner chains, Bloch mappings and Pfaltzgraff-Suffridge extension operators on bounded symmetric domains. Complex Variables and Elliptic Equations 65:1, pages 57-73.
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Ian Graham, Gabriela Kohr & John Pfaltzgraff. (2007) Growth and two-point distortion for biholomorphic mappings of the ball. Complex Variables and Elliptic Equations 52:2-3, pages 211-223.
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Janusz Godula, Piotr Liczberski & Victor V. Starkov. (2000) Order of linearly invariant family of mappings in . Complex Variables, Theory and Application: An International Journal 42:1, pages 89-96.
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J.A. Pfaltzgraff & T. J. Suffridge. (1999) Linear Invariance, Order and Convex Maps in . Complex Variables, Theory and Application: An International Journal 40:1, pages 35-50.
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Articles from other publishers (10)

Jerry R. Muir. (2022) Linear invariance and extension operators of Pfaltzgraff-Suffridge type. Studia Universitatis Babes-Bolyai Matematica 67:2, pages 295-308.
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Ian Graham, Hidetaka Hamada, Gabriela Kohr & Mirela Kohr. (2022) "g-Loewner chains, Bloch functions and extension operators into the family of locally biholomorphic mappings in infinite dimensional spaces". Studia Universitatis Babes-Bolyai Matematica 67:2, pages 219-236.
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H. Hamada, T. Honda & G. Kohr. (2013) Growth and distortion theorems for linearly invariant families on homogeneous unit balls in . Journal of Mathematical Analysis and Applications 407:2, pages 398-412.
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H. Hamada, T. Honda & G. Kohr. (2012) Trace-order and a distortion theorem for linearly invariant families on the unit ball of a finite dimensional JB∗ -triple. Journal of Mathematical Analysis and Applications 396:2, pages 829-843.
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Rodrigo Hernández. (2006) Schwarzian derivatives and a linearly invariant family in ℂ n . Pacific Journal of Mathematics 228:2, pages 201-218.
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Ian Graham & Gabriela Kohr. (2006) The Roper-Suffridge extension operator and classes of biholomorphic mappings. Science in China Series A: Mathematics 49:11, pages 1539-1552.
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P. Liczberski. (2003) Linearly Invariant Families of Holomorphic Mappings in . Transition to Other Dimensions. Journal of Applied Analysis 9:2.
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Piotr Liczberski & Victor V. Starkov. (2002) Distortion theorems for biholomorphic convex mappings in Cn. Journal of Mathematical Analysis and Applications 274:2, pages 495-504.
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J. A. Pfaltzgraff & T. J. Suffridge. (2000) Norm order and geometric properties of holomorphic mappings in $$\mathbb{C}^n $$. Journal d'Analyse Mathématique 82:1, pages 285-313.
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Ian Graham. (1999) Growth and covering theorems associated with the Roper-Suffridge extension operator. Proceedings of the American Mathematical Society 127:11, pages 3215-3220.
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