Abstract
Let S = {z k }, 0 ≤ |z 1|≤ |z 2|≤…, be a countably infinite set in the complex plane ℂ with no limit points in ℂ. We denote by B S the collection of functions f(z), analytic in ℂ\S, possessing finite L 1 norm,
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References
L. Bers, “An approximation theorem”, J. Analyse Math. 14 (1965), 1–4.
Edgar Reich, “L 1-approximation of meromorphic functions”, J. Approximation Theory 31 (1981), 1–5.
Edgar Reich and Kurt Strebel, “Quasiconformal mappings of the punctured plane”, Springer Lecture Notes in Math., 103 (1983), 182–212.
Kurt Strebel, “On the existence of extremal Teichmuller mappings”, Complex Variables 9 (1987), 287–295.
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© 1988 Birkhäuser Verlag Basel
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Reich, E. (1988). On Approximation by Rational Functions of Class L1 . In: Hersch, J., Huber, A. (eds) Complex Analysis. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9158-5_18
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DOI: https://doi.org/10.1007/978-3-0348-9158-5_18
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-1958-8
Online ISBN: 978-3-0348-9158-5
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