Harmonic \(Q_{p}\)-spaces (Q2378583)

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Harmonic \(Q_{p}\)-spaces
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    Harmonic \(Q_{p}\)-spaces (English)
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    13 January 2009
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    The author considers \(q_p\) spaces for harmonic functions in the unit ball \(B\) of \(\mathbb{R}^n\) which are not conformally invariant. The spaces can be characterized by different weighted integrals on the unit ball or along its boundary. In particular the author generalizes a previous result of \textit{D. A. Stegenga} [Ill. J. Math. 24, 113--139 (1980; Zbl 0432.30016)] to higher dimensions.
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    harmonic functions
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    \(Q_p\)-spaces
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    Hardy spaces
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