Boundary behaviour of Bloch functions and normal functions
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DOVBUSH, Peter. Boundary behaviour of Bloch functions and normal functions. In: Complex Variables and Elliptic Equations, 2010, vol. 55, pp. 157-166. ISSN 1747-6933. DOI: https://doi.org/10.1080/17476930902999108
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Complex Variables and Elliptic Equations
Volumul 55 / 2010 / ISSN 1747-6933 /ISSNe 1747-6941

Boundary behaviour of Bloch functions and normal functions

DOI:https://doi.org/10.1080/17476930902999108

Pag. 157-166

Dovbush Peter
 
Institute of Mathematics and Computer Science ASM
 
 
Disponibil în IBN: 7 februarie 2024


Rezumat

The purpose of the present article is to give the version of the Lindelöf principle which is valid in bounded domains in Cn with C2-smooth boundary. We also prove that if a Bloch function is bounded on a K-special curve ending at a given boundary point, it is bounded on any admissible domain with vertex at the same point. 

Cuvinte-cheie
Boundary behaviour, Normal function

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<dc:creator>Dovbuş, P.V.</dc:creator>
<dc:date>2010-01-01</dc:date>
<dc:description xml:lang='en'><p>The purpose of the present article is to give the version of the Lindel&ouml;f principle which is valid in bounded domains in C<sup>n</sup>&nbsp;with C<sup>2</sup>-smooth boundary. We also prove that if a Bloch function is bounded on a K-special curve ending at a given boundary point, it is bounded on any admissible domain with vertex at the same point.&nbsp;</p></dc:description>
<dc:identifier>10.1080/17476930902999108</dc:identifier>
<dc:source>Complex Variables and Elliptic Equations  () 157-166</dc:source>
<dc:subject>Boundary behaviour</dc:subject>
<dc:subject>Normal function</dc:subject>
<dc:title>Boundary behaviour of Bloch functions and normal functions</dc:title>
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