Extension of Bernšteĭn's theorem
Author:
S. H. Tung
Journal:
Proc. Amer. Math. Soc. 83 (1981), 103-106
MSC:
Primary 32A15; Secondary 30E10, 32A30
DOI:
https://doi.org/10.1090/S0002-9939-1981-0619992-9
MathSciNet review:
619992
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Abstract | References | Similar Articles | Additional Information
Abstract: A well-known theorem of Bernstein states that if a polynomial of degree 
of a complex variable has its modulus no larger than one on the unit disk then the modulus of its derivative will not exceed 
on the unit disk. Here we extend the theorem to polynomials on the unit ball in several complex variables.
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1981-0619992-9
Keywords:
Bernstein's theorem,
polynomial,
the unit ball in several complex variables
Article copyright:
© Copyright 1981
American Mathematical Society