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1

A Schwarz lemma on complex ellipsoids

100%

Hamada H.

Annales Polonici Mathematici

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1997

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tom 67

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nr 3

269-275

EN

We give a Schwarz lemma on complex ellipsoids.

2

A characterization of linear automorphisms of the Euclidean ball

89%

Hamada H., Hamada H.

Annales Polonici Mathematici

|

1999

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tom 72

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nr 1

79-85

EN

Let B be the open unit ball for a norm on $ℂ^n$. Let f:B → B be a holomorphic map with f(0) = 0. We consider a condition implying that f is linear on $ℂ^n$. Moreover, in the case of the Euclidean ball 𝔹, we show that f is a linear automorphism of 𝔹 under this condition.

3

Loewner chains and quasiconformal extension of holomorphic mappings

63%

Hamada H., Kohr G.

Annales Polonici Mathematici

|

2003

|

tom 81

|

nr 1

85-100

EN

Let f(z,t) be a Loewner chain on the Euclidean unit ball B in ℂⁿ. Assume that f(z) = f(z,0) is quasiconformal. We give a sufficient condition for f to extend to a quasiconformal homeomorphism of $ℝ^{2n}$ onto itself.

4

k-convexity in several complex variables

63%

Hamada H., Kohr G.

Annales Polonici Mathematici

|

2002

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tom 78

|

nr 1

85-96

EN

We define and investigate the notion of k-convexity in the sense of Mejia-Minda for domains in ℂⁿ and also that of k-convex mappings on the Euclidean unit ball.

Ograniczanie wyników

4 Annales Polonici Mathematici

4 Hamada H.

2 Kohr G.

1 2003

1 2002

1 1999

1 1997

A Schwarz lemma on complex ellipsoids

A characterization of linear automorphisms of the Euclidean ball

Loewner chains and quasiconformal extension of holomorphic mappings

k-convexity in several complex variables