The M-harmonic Dirichlet space on the ball

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F25%3A00604245" target="_blank" >RIV/67985840:_____/25:00604245 - isvavai.cz</a>
Alternative codes found
RIV/47813059:19610/25:A0000200
Result on the web
<a href="https://doi.org/10.1016/j.jmaa.2024.129165" target="_blank" >https://doi.org/10.1016/j.jmaa.2024.129165</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jmaa.2024.129165" target="_blank" >10.1016/j.jmaa.2024.129165</a>

Result language
angličtina
Original language name
The M-harmonic Dirichlet space on the ball
Original language description
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.
Czech name
—
Czech description
—

Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA21-27941S" target="_blank" >GA21-27941S: Function theory and related operators on complex domains</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)