| Autor: |
BANDURA, A. I., SALO, T. M. |
| Předmět: |
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| Zdroj: |
Matematychni Studii; 2024, Vol. 61 Issue 2, p168-175, 8p |
| Abstrakt: |
Using recent estimates of maximum modulus for partial derivatives of the analytic functions with bounded L-index in joint variables we describe maximum modulus of these functions at the polydisc skeleton with given radii by the maximum modulus with lesser radii. Such a description is sufficient and necessary condition of boundedness of L-index in joint variables for functions which are analytic in a complete Reinhardt domain. The vector-valued function L is a positive and continuous function in the domain and its values at a point is greater than reciprocal of distance from the point to the boundary of the Reinhardt domain multiplied by some constant. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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