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Computational Methods and Function Theory 5 (2005), No. 2, 459--469
Copyright Heldermann Verlag 2005

Intersections and Unions of Weighted Bergman Spaces

Risto Korhonen
risto.korhonen@joensuu.fi , Department of Mathematics, University of Joensuu, P. O. Box 111, 80101 Joensuu, Finland.

Jouni Rättyä
jouni.rattya@joensuu.fi , Department of Mathematics, University of Joensuu, P. O. Box 111, 80101 Joensuu, Finland.

[Abstract-pdf] [Abstract-ps]

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.

Keywords: Weighted Bergman spaces.

MSC 2000: 30D55.

[FullText-pdf (250 K)] [FullText-ps (426 K)]