High-power asymptotics of some weighted harmonic Bergman kernels

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F16%3A00462096" target="_blank" >RIV/67985840:_____/16:00462096 - isvavai.cz</a>
Alternative codes found
RIV/47813059:19610/16:N0000154
Result on the web
<a href="http://dx.doi.org/10.1016/j.jfa.2016.06.014" target="_blank" >http://dx.doi.org/10.1016/j.jfa.2016.06.014</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jfa.2016.06.014" target="_blank" >10.1016/j.jfa.2016.06.014</a>

Result language
angličtina
Original language name
High-power asymptotics of some weighted harmonic Bergman kernels
Original language description
For weights rho which are either radial on the unit ball or depend only on the vertical coordinate on the upper half-space, we describe the asymptotic behaviour of the corresponding weighted harmonic Bergman kernels with respect to rho(alpha) as alpha -> +infinity. This can be compared to the analogous situation for the holomorphic case, which is of importance in the Berezin quantization as well as in complex geometry.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
<a href="/en/project/GAP201%2F12%2F0426" target="_blank" >GAP201/12/0426: Function theory and operator theory in Bergman spaces and their applications</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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