An inequality for rational functions
Author:
Harold Widom
Journal:
Proc. Amer. Math. Soc. 24 (1970), 415-416
MSC:
Primary 30.09
DOI:
https://doi.org/10.1090/S0002-9939-1970-0252609-7
MathSciNet review:
0252609
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Abstract | References | Similar Articles | Additional Information
Abstract: An inequality of A. A. Gončar concerning the relative sizes of rational functions on different sets is reinterpreted. This allows a very simple proof of a more general inequality.
- A. A. Gončar, Generalized analytic continuation, Mat. Sb. (N.S.) 76 (118) (1968), 135–146 (Russian). MR 0231997
- M. Tsuji, Potential theory in modern function theory, Maruzen Co., Ltd., Tokyo, 1959. MR 0114894
- Harold Widom, Rational approximation and $n$-dimensional diameter, J. Approximation Theory 5 (1972), 343–361. MR 367222, DOI https://doi.org/10.1016/0021-9045%2872%2990001-9
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Keywords:
Rational functions,
Green’s function,
Capacity,
Maximum principle
Article copyright:
© Copyright 1970
American Mathematical Society