Interpolation methods to estimate eigenvalue distribution of some integral operators. (3rd March 2004) - El-Shobaky, E. M.
Abstract : We study the asymptotic distribution of eigenvalues of integral operatorsT k defined by kernelsk which belong to Triebel-Lizorkin function spaceF p u σ ( F q v τ ) by using the factorization theorem and the Weyl numbersx n . We use the relation between Triebel-Lizorkin spaceF p u σ ( Ω ) and Besov spaceB p q τ ( Ω ) and the interpolation methods to get an estimation for the distribution of eigenvalues in Lizorkin spacesF p u σ ( F q v τ ) .