## Abstract

It is shown that for the pluripolar set K = {(z, e^{z}): |z| ≤ 1} in ℂ^{2} there is a global Bernstein-Walsh inequality: If P is a polynomial of degree n on ℂ^{2} and |P| ≤ 1 on K, this inequality gives an upper bound for |P(z, w)| which grows like exp(1/2n^{2} log n). The result is used to obtain sharp estimates for |P(z, e^{z})|.

Original language | English (US) |
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Pages (from-to) | 879-887 |

Number of pages | 9 |

Journal | Proceedings of the American Mathematical Society |

Volume | 131 |

Issue number | 3 |

DOIs | |

State | Published - Mar 2003 |

## ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

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