High-power asymptotics of some weighted harmonic Bergman kernels

0462096 - MÚ 2017 RIV US eng J - Článek v odborném periodiku
Engliš, Miroslav
High-power asymptotics of some weighted harmonic Bergman kernels.
Journal of Functional Analysis. Roč. 271, č. 5 (2016), s. 1243-1261. ISSN 0022-1236. E-ISSN 1096-0783
Institucionální podpora: RVO:67985840
Klíčová slova: Bergman kernel * harmonic Bergman kernel * asymptotic expansion
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 1.254, rok: 2016
http://www.sciencedirect.com/science/article/pii/S0022123616301513

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.
Trvalý link: http://hdl.handle.net/11104/0261620