Meromorphic extendibility and rigidity of interpolation

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:377

Article

Raghupathi, Mrinal²  Yattselev, Maxim¹ 

[1] Univ Oregon, Dept Math, Eugene, OR 97403 USA

[2] Vanderbilt Univ, Dept Math, Nashville, TN 37240 USA

关键词: Meromorphic extensions;    Winding number;    Interpolation;   

DOI  :  10.1016/j.jmaa.2010.11.060

来源: Elsevier

【 摘 要 】

Let T be the unit circle, f be an alpha-Holder continuous function on T, alpha > 1/2, and A be the algebra of continuous function in the closed unit disk (D) over tilde that are holomorphic in D. Then f extends to a meromorphic function in D with at most m poles if and only if the winding number of f + h on T is bigger or equal to -m for any h epsilon A such that f + h not equal 0 on T. (c) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

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