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The Lindelöf principle in ℂn

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Central European Journal of Mathematics

Abstract

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.

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Authors and Affiliations

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

    Peter V. Dovbush

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  1. Peter V. Dovbush
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Correspondence to Peter V. Dovbush.

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Dovbush, P.V. The Lindelöf principle in ℂn . centr.eur.j.math. 11, 1763–1773 (2013). https://doi.org/10.2478/s11533-013-0274-0

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  • DOI: https://doi.org/10.2478/s11533-013-0274-0

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