Bergman–Szegő kernel asymptotics in weakly pseudoconvex finite type cases
نویسندگان
چکیده
We construct a pointwise Boutet de Monvel-Sj\"ostrand parametrix for the Szeg\H{o} kernel of weakly pseudoconvex three dimensional CR manifold finite type assuming range its tangential operator to be closed; thereby extending earlier analysis Christ. This particularly extends Fefferman's boundary asymptotics Bergman domains in $\mathbb{C}^{2}$, agreement with D'Angelo's example. Finally our results generalize embedding theorem Lempert.
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ژورنال
عنوان ژورنال: Crelle's Journal
سال: 2022
ISSN: ['1435-5345', '0075-4102']
DOI: https://doi.org/10.1515/crelle-2022-0044