Cauchy operator on Bergman space of harmonic functions on unit disk

摘要

We find the exact asymptotic behaviour of singular values of the operator CP h , where C is the integral Cauchy's operator and P h integral operator with the kernel K (z, ζ) = 1 . |z| 2 |ζ| 2 2 π |1 . z ζ| 4 . 2 π |z| 2 |ζ| 2 |1 . z ζ| 2 .