2025
The M-harmonic Dirichlet space on the ball
ENGLIŠ, Miroslav and El-Hassan YOUSSFIBasic information
Original name
The M-harmonic Dirichlet space on the ball
Authors
ENGLIŠ, Miroslav and El-Hassan YOUSSFI
Edition
Journal of Mathematical Analysis and Applications, San Diego (USA), Academic Press Inc. Elsevier Science, 2025, 0022-247X
Other information
Language
English
Type of outcome
Article in a journal
Field of Study
10101 Pure mathematics
Country of publisher
United States of America
Confidentiality degree
is not subject to a state or trade secret
Impact factor
Impact factor: 1.200 in 2024
Marked to be transferred to RIV
Yes
Organization unit
Mathematical Institute in Opava
UT WoS
EID Scopus
Keywords in English
Dirichlet space; Invariant Laplacian; M-harmonic function; Reproducing kernel
Tags
International impact, Reviewed
Links
GA21-27941S, research and development project.
Changed: 2/3/2026 15:37, Mgr. Aleš Ryšavý
Abstract
In the original language
We describe the Dirichlet space of M-harmonic functions, i.e. functions annihilated by the invariant Laplacian on the unit ball of the complex n-space, as the limit of the analytic continuation (in the spirit of Rossi and Vergne) of the corresponding weighted Bergman spaces. Characterizations in terms of tangential derivatives are given, and the associated inner product is shown to be Moebius invariant. The pluriharmonic and harmonic cases are also briefly treated.