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Sbornik: Mathematics, 2000, Volume 191, Issue 9, Pages 1279–1300
DOI: https://doi.org/10.1070/sm2000v191n09ABEH000505 (Mi sm505) 		 
Spectral properties of an operator of Riesz potential type and its product with the Bergman projection on a bounded domain

M. R. Dostanic
English version PDF (226 kB) Russian version article
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DOI: https://doi.org/10.1070/sm2000v191n09ABEH000505
Abstract: An exact asymptotic formula for the singular values of the product of an operator of Riesz potential type and the Bergman projection on a bounded domain is obtained. It is shown that these singular values determine the length of the boundary of the domain. It was known before that the spectrum of the operator of Riesz potential type determines the area of the domain.
Received: 27.04.1999
Bibliographic databases:
UDC: 517.98
MSC: 47G10, 42B20
Language: English
Original paper language: Russian
Citation: M. R. Dostanic, “Spectral properties of an operator of Riesz potential type and its product with the Bergman projection on a bounded domain”, Sb. Math., 191:9 (2000), 1279–1300
Citation in format AMSBIB
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\by M.~R.~Dostanic
\paper Spectral properties of an~operator of Riesz potential type and its product with the~Bergman projection on a~bounded domain
\jour Sb. Math.
\yr 2000
\vol 191
\issue 9
\pages 1279--1300
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    References:54
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