On local behavior of holomorphic functions along complex submanifolds of \(\mathbb C^{N}\). (English) Zbl 1149.32002
The author proves some general result on local behavior of holomorphic functions along complex submanifolds of \(\mathbb C^n\) (Theorem 1.2). As a corollary of it he obtains inequalities of type of Bernstein, Markov, Remez (Section 2.1) and a generalization of Bernstein type inequality of Coman and Poletsky.
Reviewer: Polina Z. Agranovich (Khar’kov)
MSC:
| 32A17 | Special families of functions of several complex variables |
| 46E15 | Banach spaces of continuous, differentiable or analytic functions |
References:
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