Hostname: page-component-84b7d79bbc-g7rbq Total loading time: 0 Render date: 2024-07-31T02:39:14.263Z Has data issue: false hasContentIssue false
  • English
  • Français

Solutions to extremal problems in Ep space

Published online by Cambridge University Press:  22 January 2016

Vernor Vinge
Vernor Vinge*
Affiliation:
San Diego State University
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Let Ω be a bounded domain (in the complex plane) whose boundary, C, consists of finitely many disjoint, rectifiable, closed Jordan curves.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 56 , January 1975 , pp. 19 - 27
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1975

References

[1] Bückner, H., Die Praktische Behandlung von Integral-Gleichungen, Springer-Verlag, Berlin, 1952.Google Scholar
[2] Duren, P. L., Theory of Hp Spaces, Academic Press, New York, 1970.Google Scholar
[3] Goluzin, G. M., Geometric Theory of Functions of a Complex Variable. American Mathematical Society, Providence, 1969.CrossRefGoogle Scholar
[4] Hvedelidze, B. V., “Linear Discontinuous Boundary Problems in the Theory of Functions, Singular Integral Equations and Some of Their Applications,” Trudy Tbiliss. Mat. Inst. Razmadze 23 (1956), 3–158 (in Russian).Google Scholar
[5] Mushelišvili, N. I., Singular Integral Equations, P. Noordhoff, Groningen, 1953.Google Scholar
[6] Petrovskiĭ, I. G., Lectures on the Theory of Integral Equations, Graylock Press, Rochester, 1957.Google Scholar
[7] Rosenbloom, P. C. and Warschawski, S. E., “A Division Problem for Analytic Functions,” Seminars on Analytic Functions, Institute for Advanced Study, 1 (1958), 323–339.Google Scholar
[8] Tumarkin, G. C. and Havison, S. Ja., “Investigation of the Properties of Extremal Functions by Means of Duality Relations in Extremal Problems for Classes of Analytic Functions in Multiply Connected Domains,” Mat. Sb. 46 (1958), 195–228 (in Russian).Google Scholar
[9] Tumarkin, G. C. and Havinson, S. Ja., “On the Definition of Analytic Functions of Class Ep in Multiply Connected Domains,” Uspehi Mat. Nauk 13 (1958), No. 1, 201–206 (in Russian).Google Scholar