Data di Pubblicazione:
2016
Citazione:
A Comparison Between the Bergman and Szegö Kernels of the Non-smooth Worm Domain D′β / A. Monguzzi. - In: COMPLEX ANALYSIS AND OPERATOR THEORY. - ISSN 1661-8254. - 10:5(2016 Jun), pp. 1017-1043. [10.1007/s11785-015-0518-z]
Abstract:
In this work we provide an asymptotic expansion for the Szegö kernel associated to a suitably defined Hardy space on the non-smooth worm domain D′β. After describing the singularities of the kernel, we compare it with an asymptotic expansion of the Bergman kernel. In particular, we show that the Bergman kernel has the same singularities of the first derivative of the Szegö kernel with respect to any of the variables. On the side, we prove the boundedness of the Bergman projection operator on Sobolev spaces of integer order.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Bergman kernel; Hardy spaces; Szegö kernel; Worm domains; computational theory and mathematics; computational mathematics; applied mathematics
Elenco autori:
A. Monguzzi
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