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A Construction of Outer Functions along Curves on the Sphere inCn

โœ Scribed by Joaquim Bruna

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
766 KB
Volume
140
Category
Article
ISSN
0022-1236

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โœฆ Synopsis

For a simple smooth curve 1 on the unit sphere in C n transverse at all its points, and a non-negative continuous function . on 1 satisfying 1 log . ds>& together with a finite number of necessary compatibility conditions, an holomorphic function f on the unit ball is constructed such that | f |=. on 1. The case of a general, not necessarily transverse, curve is also investigated.

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