Existence of K-limits of holomorphic maps
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DOVBUSH, Peter. Existence of K-limits of holomorphic maps. In: Mathematical Notes, 2005, vol. 77, pp. 471-475. ISSN 0001-4346. DOI: https://doi.org/10.1007/s11006-005-0045-8
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Mathematical Notes
Volumul 77 / 2005 / ISSN 0001-4346 /ISSNe 1573-8876

Existence of K-limits of holomorphic maps

DOI:https://doi.org/10.1007/s11006-005-0045-8

Pag. 471-475

Dovbush Peter
 
Institute of Mathematics and Computer Science ASM
 
 
Disponibil în IBN: 13 februarie 2024


Rezumat

Let D be a complete hyperbolic domain in ℂ n, n >1, and N a compact Hermitian manifold. We prove a criterion for the existence of the K-limit of an arbitrary holomorphic mapf: D → N at an arbitrary boundary point D under the condition that f has the corresponding radial limit at this point. 

Cuvinte-cheie
Complex manifold, Hermitian manifold, K-limit, Kobayashi norm

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<dc:creator>Dovbuş, P.V.</dc:creator>
<dc:date>2005-03-01</dc:date>
<dc:description xml:lang='en'><p>Let D be a complete hyperbolic domain&nbsp;in&nbsp;ℂ&nbsp;<sup>n</sup>, n &gt;1, and N a compact Hermitian manifold. We prove a criterion for the existence of the K-limit of an arbitrary holomorphic mapf: D &rarr; N at an arbitrary boundary point D under the condition that f has the corresponding radial limit at this point.&nbsp;</p></dc:description>
<dc:identifier>10.1007/s11006-005-0045-8</dc:identifier>
<dc:source>Mathematical Notes  () 471-475</dc:source>
<dc:subject>Complex manifold</dc:subject>
<dc:subject>Hermitian manifold</dc:subject>
<dc:subject>K-limit</dc:subject>
<dc:subject>Kobayashi norm</dc:subject>
<dc:title>Existence of K-limits of holomorphic maps</dc:title>
<dc:type>info:eu-repo/semantics/article</dc:type>
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