Harmonic \(Q_{p}\)-spaces (Q2378583)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Harmonic \(Q_{p}\)-spaces |
scientific article |
Statements
Harmonic \(Q_{p}\)-spaces (English)
0 references
13 January 2009
0 references
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.
0 references
harmonic functions
0 references
\(Q_p\)-spaces
0 references
Hardy spaces
0 references
0 references