Extension of Bernšteĭn’s theorem
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- by S. H. Tung PDF
- Proc. Amer. Math. Soc. 83 (1981), 103-106 Request permission
Abstract:
A well-known theorem of Bernstein states that if a polynomial of degree $n$ of a complex variable has its modulus no larger than one on the unit disk then the modulus of its derivative will not exceed $n$ on the unit disk. Here we extend the theorem to polynomials on the unit ball in several complex variables.References
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Additional Information
- © Copyright 1981 American Mathematical Society
- 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