A family of Dirichlet-Morrey spaces

被引：17
|
作者：
Galanopoulos, Petros [1 ]
Merchan, Noel [2 ]
Siskakis, Aristomenis G. [1 ]
机构：
[1] Aristotle Univ Thessaloniki, Dept Math, Thessaloniki, Greece
[2] Univ Malaga, Fac Ciencias, Dept Anal Matemat Estadist & Invest Operat & Mate, Malaga, Spain
来源：
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2019年 / 64卷 / 10期
关键词：
Dirichlet spaces; Morrey spaces; Q(p) spaces; Carleson measures; integration operator; pointwise multipliers; CARLESON MEASURES; MULTIPLIERS; OPERATORS;
D O I：
10.1080/17476933.2018.1549036
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
To each weighted Dirichlet space D-p, 0 < p < 1, we associate a family of Morrey-type spaces D-p(lambda), 0 < lambda < 1, constructed by imposing growth conditions on the norm of hyperbolic translates of functions. We indicate some of the properties of these spaces, mention the characterization in terms of boundary values, and study integration and multiplication operators on them.
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页码：1686 / 1702
页数：17
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