The Lindelöf principle in ℂn

• Autorzy: Peter Dovbush
• Języki publikacji: EN

Abstrakty

EN

Let D be a bounded domain in ℂn. A holomorphic function f: D → ℂ is called normal function if f satisfies a Lipschitz condition with respect to the Kobayashi metric on D and the spherical metric on the Riemann sphere ̅ℂ. We formulate and prove a few Lindelöf principles in the function theory of several complex variables.

Słowa kluczowe

EN

Normal functions; Lindelöf principle; Admissible limits

Kategorie tematyczne

• 32A18: Bloch functions, normal functions

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2013
• Tom: 11
• Numer: 10
• Strony: 1763-1773

Daty

wydano

2013-10-01

online

2013-07-20

Twórcy

autor

Peter Dovbush

• Institute of Mathematics and Computer Science of Academy of Sciences of Moldova, 5 Academy Street, Kishinev, 2028, Republic of Moldova

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-013-0274-0