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Computational Methods and Function Theory 8 (2008), No. 2, 475--482
Copyright Heldermann Verlag 2008

On the Growth of the Dirichlet Integral for Some Function Spaces

Rauno Aulaskari
rauno.aulaskari@joensuu.fi , University of Joensuu, Department of Mathematics, P.O. Box 111, FI-80101 Joensuu, Finland.

Shamil Makhmutov
makhm@squ.edu.om , Sultan Qaboos University, College of Science, Department of Mathematics & Statistics, P.O. Box 36, PC 123 Al Khod, Muscat, Sultanate of Oman.

[Abstract-pdf] [Abstract-ps]

The growth of the Dirichlet integral for functions belonging to Qp but not to the Dirichlet space is considered. These results are shown to be sharp in a certain sense.

Keywords: Qp, BMOA, the Bloch space.

MSC 2000: 30D45, 30D50.

[FullText-pdf (232 K)] [FullText-ps (395 K)]