On weighted Bergman kernels of bounded domains

• Autorzy: Sorin Dragomir
• Języki publikacji: EN

Abstrakty

EN

We build on work by Z. Pasternak-Winiarski [PW2], and study a-Bergman kernels of bounded domains $Ω ⊂ ℂ^N$ for admissible weights $a ∈ L¹(Ω)$.

Słowa kluczowe

EN

admissible weight   a-Bergman kernel   a-Bergman metric  

Kategorie tematyczne

• 32Q15: K\"ahler manifolds
• 32A25: Integral representations; canonical kernels (Szeg\H o, Bergman, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1994
• Tom: 108
• Numer: 2
• Strony: 149-157

Daty

wydano

1994

otrzymano

1992-10-08

poprawiono

1998-07-04

Twórcy

autor

Sorin Dragomir

• Politecnico di Milano, Dipartimento di Matematica, Piazza Leonardo da Vinci 32, 20133 Milano, Italy

Bibliografia

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• [J] F. John, Partial Differential Equations, Springer, New York, 1982.
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• [M1] T. Mazur, Canonical isometry on weighted Bergman spaces, Pacific J. Math. 136 (1989), 303-310.
• [M2] T. Mazur, On the complex manifolds of Bergman type, in: Classical Analysis, Proc. 6-th Symposium, 23-29 September 1991, Poland, World Scientific, 1992, 132-138.
• [N] R. Narasimhan, Several Complex Variables, The Univ. of Chicago Press, Chicago, 1971.
• [PW1] Z. Pasternak-Winiarski, On the dependence of the reproducing kernel on the weight of integration, J. Funct. Anal. 94 (1990), 110-134.
• [PW2] Z. Pasternak-Winiarski, On weights which admit the reproducing kernel of Bergman type, Internat. J. Math. Math. Sci. 15 (1992), 1-14.