Interpolation methods to estimate eigenvalue distribution of some integral operators

E. M. El-Shobaky, N. Abdel-Mottaleb, A. Fathi and M. Faragallah

International Journal of Mathematics and Mathematical Sciences, 2004, vol. 2004, 1-7

Abstract:

We study the asymptotic distribution of eigenvalues of integral operators T k defined by kernels k which belong to Triebel-Lizorkin function space F p u σ ( F     q v τ ) by using the factorization theorem and the Weyl numbers x n . We use the relation between Triebel-Lizorkin space F p u σ ( Ω ) and Besov space B p q τ ( Ω ) and the interpolation methods to get an estimation for the distribution of eigenvalues in Lizorkin spaces F p u σ ( F     q v τ ) .

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:758013

DOI: 10.1155/S0161171204208274

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