Semigroups of Composition Operators in Analytic Morrey Spaces

被引：3
|
作者：
Galanopoulos, Petros [1 ]
Merchan, Noel [2 ]
Siskakis, Aristomenis G. [1 ]
机构：
[1] Aristotle Univ Thessaloniki, Dept Math, Thessaloniki 54124, Greece
[2] Univ Malaga, Dept Matemat Aplicada, ETSII, Campus Teatinos, E-29071 Malaga, Spain
来源：
INTEGRAL EQUATIONS AND OPERATOR THEORY | 2020年 / 92卷 / 02期
关键词：
Semigroups; Composition operators; Morrey spaces; Primary; 30H05; 32A37; 47B33; 47D06; Secondary; 46E15; INTEGRAL-OPERATORS; CAMPANATO SPACES; BMOA;
D O I：
10.1007/s00020-020-2568-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Analytic Morrey spaces belong to the class of function spaces which, like BMOA, are defined in terms of the degree of oscillation on the boundary of functions analytic in the unit disc. We consider semigroups of composition operators on these spaces and focus on the question of strong continuity. It is shown that these semigroups behave like on BMOA.
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页数：15
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