Loewner chains and quasiconformal extension of holomorphic mappings

• Autorzy: Hidetaka Hamada , Gabriela Kohr
• Języki publikacji: EN

Abstrakty

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.

Kategorie tematyczne

• 32H02: Holomorphic mappings, (holomorphic) embeddings and related questions
• 30C65: Quasiconformal mappings in 𝐑 n , other generalizations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2003
• Tom: 81
• Numer: 1
• Strony: 85-100

Daty

wydano

2003

Twórcy

autor

Hidetaka Hamada

• Faculty of Engineering, Kyushu Kyoritsu University, 1-8 Jiyugaoka, Yahatanishi-ku, Kitakyusu 807-8585, Japan

autor

Gabriela Kohr

• Faculty of Mathematics, Babeş-Bolyai University, 1 M. Kogălniceanu St., 3400 Cluj-Napoca, Romania

Identyfikatory

DOI

10.4064/ap81-1-8