On harmonic Hardy spaces and area integrals (Q1884798)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On harmonic Hardy spaces and area integrals |
scientific article; zbMATH DE number 2110885
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On harmonic Hardy spaces and area integrals |
scientific article; zbMATH DE number 2110885 |
Statements
On harmonic Hardy spaces and area integrals (English)
0 references
27 October 2004
0 references
The author proves several necessary and sufficient conditions for a harmonic function in the unit ball \(B\) of \(\mathbb R^n (n\geq 3)\) to belong to the Hardy space \(\mathcal H^p(B), 1<p<\infty\), of harmonic functions on \(B\). One such result is that \(u\in\mathcal H^p(B), 1<p<\infty\), if and only if \(u\) has the \(p\)-Lusin property with respect to a certain Stoltz domain.
0 references
harmonic functions
0 references
Hardy spaces
0 references
Stoltz domain
0 references
