Littlewood--Paley theorems for \({\mathcal M}\)-subharmonic functions (Q1856880)
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: Littlewood--Paley theorems for \({\mathcal M}\)-subharmonic functions |
scientific article; zbMATH DE number 1866653
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Littlewood--Paley theorems for \({\mathcal M}\)-subharmonic functions |
scientific article; zbMATH DE number 1866653 |
Statements
Littlewood--Paley theorems for \({\mathcal M}\)-subharmonic functions (English)
0 references
11 February 2003
0 references
The author proves two theorems of Littlewood-Paley type for \(M\)-subharmonic functions in the unit ball of \(\mathbb{C}^n\) (i.e., subharmonic with respect to the invariant Laplacian for the ball). This allows to sharpen an inequality of Littlewood-Paley type for \(M\)-harmonic functions from \textit{M. Stoll} [Invariant potential theory in the unit ball of \(\mathbb{C}^n\), Cambridge Univ. Press (1994; Zbl 0797.31001)] and to get a sufficient condition for the existence of admissible limits of \(M\)-subharmonic functions.
0 references
theorems of Littlewood-Paley type
0 references
\(M\)-subharmonic functions
0 references
inequality of Littlewood-Paley type
0 references
admissible limits
0 references
0 references
