On estimates for potentials related to the problem of stability of a rotating self-gravitating liquid

The paper contains estimates of the volume and surface potentials arising in the evolution free boundary problem for a viscous self-gravitating liquid. The densities and domain where the potentials are defined may depend on time. The estimates are obtained in weighted anisotropic Sobolev-Slobodetskii spaces. Bibliography: 4 titles. __________ Translated from Problemy Matematicheskogo Analiza, No. 37, 2008, pp. 83–117.