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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On the optimal asymptotic eigenvalue behaviour of weakly singular integral operators


Authors: Fernando Cobos, Svante Janson and Thomas Kühn
Journal: Proc. Amer. Math. Soc. 113 (1991), 1017-1022
MSC: Primary 45C05; Secondary 47B10, 47G10
MathSciNet review: 1060720
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Abstract: We improve the known results on eigenvalue distributions of weakly singular integral operators having (power) order of the singularity equal to half of the dimension of the underlying domain. Moreover we show that our results are the best possible.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1991-1060720-X
PII: S 0002-9939(1991)1060720-X
Keywords: Integral operators, eigenvalues, singular numbers
Article copyright: © Copyright 1991 American Mathematical Society