Universal holomorphic and harmonic functions with additional properties

被引：7
作者：
Calderón-Moreno, MC
Müller, J
机构：
[1] Fac Matemat, Dept Anal Matemat, Seville 41080, Spain
[2] Univ Trier, FB Math 4, D-54286 Trier, Germany
来源：
ACTA MATHEMATICA HUNGARICA | 2004年 / 105卷 / 1-2期
关键词：
P-holomorphic functions; totally omnipresent operators; universal functions; lacunary holomorphic functions; harmonic functions; univalence; residual set;
D O I：
10.1023/B:AMHU.0000045528.75745.d2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Based on the concept of so-called (total) omnipresence of operators, several results on the generity of (translation-dilation) universal functions are proved. Mainly to have a unified approach to holomorphic and harmonic functions, in the first part operators on spaces of P-holomorphic functions axe considered. The second part is devoted to holomorphic functions having lacunary power series structure and to holomorphic functions which axe univalent in certain prescribed sets.
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页码：1 / 15
页数：15
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