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T-universal Functions With Prescribed Approximation Curves | | Daniel Mayenberger
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13 Nov 2003 | | Subject: | Complex Variables MSC-class: 32E30 | math.CV | | Abstract: | Let be F a family of curves in the unit disc. We show that the set of all functions f holomorphic on the unit disc, which satisfy the following condition, is G-delta and dense in the space of all functions holomorphic on the unit disc: For each compact set K with connected complement, each function g continuous on K and holomorphic on its interior, every point t on the unit circle, every curve C in F (ending in t) and any e>0 there exist numbers 0 | | Source: | arXiv, math.CV/0311229 | | Services: | Forum | Review | PDF | Favorites | |
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