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Interpolation methods to estimate eigenvalue distribution of some integral operators

We study the asymptotic distribution of eigenvalues of integral operators Tk defined by kernels k which belong to Triebel-Lizorkin function space Fpuσ(F qvτ) by using the factorization theorem and the Weyl numbers xn. We use the relation between Triebel-Lizorkin space Fpuσ(Ω) and Besov space Bpqτ(Ω) and the interpolation methods to get an estimation for the distribution of eigenvalues in Lizorkin spaces Fpuσ(F qvτ).