  The paper is devoted to Mellin convolution operators with meromorphic kernels
in Bessel potential spaces. We encounter such operators while investigating
boundary value problems for elliptic equations in planar 2D domains with
angular points on the boundary.
  Our study is based upon two results. The first concerns commutants of Mellin
convolution and Bessel potential operators: Bessel potentials alter essentially
after commutation with Mellin convolutions depending on the poles of the kernel
(in contrast to commutants with Fourier convolution operatiors.) The second
basic ingredient is the results on the Banach algebra $\mathfrak{A}_p$
generated by Mellin convolution and Fourier convolution operators in weighted
$\mathbb{L}_p$-spaces obtained by the author in 1970's and 1980's. These
results are modified by adding Hankel operators. Examples of Mellin convolution
operators are considered.
  The first version of the paper was published in {\em Memoirs on Differential
Equations and Mathematical Physics} {\bf 60}, 135-177, 2013. The formulations
and proofs there contain fatal errors, which are improved in the present
preprint. Part of the results, obtained with V. Didenko, are published in the
preprint
