ON THE ZEROS OF THE SPACES WITH MIXED NORM
Abstract
We study the behavior of the zeros (numbered in order of nondecreasing moduli of the zeros) analytic in the disk class of functions . Obtained result: zero sets of classes where - Riesz means. Case - a class of Bergman . For works provided , where - a specified function, as , find a subsequence of indices , in which 61 and with are different.
About the Author
A. . Dolgoborodov
National Research Nuclear University «MEPhI» (Moscow)
Russian Federation
Russian Federation
References
1. Долгобородов, А.А. О теореме Ч.Горовица о нулях функций из пространств Бергмана // Analysis Mathematica, 2010, №36, С. 251-273
2. Долгобородов, А.А. О нулях функций из пространств Бергмана и некоторых близких к ним пространств // Математические заметки, 2010, №88(2), С. 201-216.
3. Horowitz, C. Zeros of functions in the Bergman spaces // Duke Math. J., 1974, №41, P. 693-710.
Review
Views:
55
Email this article 