Computational Methods and Function Theory 9 (2009), No. 1, 285--304
Copyright Heldermann Verlag 2009
Swanhild Bernstein
swanhild.bernstein@math.tu-freiberg.de , Freiberg University of Mining and Technology, Institute of Applied Analysis, Prüferstr. 9, 09596 Freiberg, Germany.
We consider Qp-spaces for harmonic functions in the unit ball B of Rn which are not conformally invariant. Those spaces can also be characterized by different weighted integrals along the unit ball or along its boundary, the unit sphere S. In particular, we generalize a well-known result by Stegenga to higher dimensions.
Keywords: Harmonic functions, Qp spaces, Hardy spaces.
MSC 2000: Primary 31C25; Secondary 31B25, 31B99.
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