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    Interpolation methods to estimate eigenvalue distribution of some integral operators

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    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)
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