WEIGHTED SPACES OF HOLOMORPHIC 2 pi-PERIODIC FUNCTIONS ON THE UPPER HALFPLANE

被引：0

作者：

Ardalani, Mohammad Ali ^{[1
]}

Lusky, Wolfgang ^{[2
]}

机构：

[1] Univ Kurdistan, Fac Sci, Dept Math, Pasdaran Ave, Sanandaj 6617715175, Iran

[2] Univ Paderborn, Inst Math, D-33098 Paderborn, Germany

来源：

FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI | 2011年 / 44卷 / 02期

关键词：

weighted spaces; holomorphic periodic functions; halfplane; differentiation operators; composition operators;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider spaces of 2 pi-periodic holomorphic functions f on the upper halfplane G which are bounded by a weighted sup-norm sup wG vertical bar f (w)vertical bar v (w). Here v : G ->] 0, infinity[ is a function which depends essentially only on Im w, w is an element of G, and satisfies lim(t -> 0) v (it) = 0. We give a complete isomorphic classification of such spaces and investigate composition operators and the differentiation operator between them.

引用

页码：191 / 201

页数：11

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