2 research outputs found
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)