Intersections and Unions of Weighted Bergman Spaces

被引:0
作者
Risto Korhonen
Jouni Rättyä
机构
[1] University of Joensuu,Department of Mathematics
关键词
Weighted Bergman spaces; 30D55;
D O I
10.1007/BF03321110
中图分类号
学科分类号
摘要
Certain intersection and unions with respect to different parameters of the weighted Bergman spaces are shown to be equal. These results are extended to a more general class of function spaces. Some of the results proved here play an important role in the study of complex linear differential equations in the unit disc.
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页码:459 / 469
页数:10
相关论文
共 8 条
[1]  
Korenblum B(1975)An extension of the Nevanlinna theory Acta Math. 135 187-219
[2]  
Ortega J M(1996)Pointwise multipliers and corona type decomposition in Ann. Inst. Fourier 46 111-137
[3]  
Fàbrega J(2001)On some complex function spaces and classes Ann. Acad. Sci. Fenn. Math. Diss. 124 1-73
[4]  
Rättyä J(2003)n-th derivative characterizations, mean growth of derivatives and Bull. Australian Math. Soc. 68 405-421
[5]  
Rättyä J(1980)Gap series and α-Bloch functions Yokohama Math. J. 28 31-36
[6]  
Yamashita S(1996)On a general family of function spaces Ann. Acad. Sci. Fenn. Diss. 105 1-56
[7]  
Zhao R(1996)On α-Bloch functions and Acta. Math. Sci. 16 349-360
[8]  
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