No abstract

Theorems on convergence and compactness are proved for the classes of regular solutions of degenerate Beltrami equations with restrictions of integral type imposed on the dilatation.

Abstract. In the paper, new estimates of the Lebesgue constantwhere s is size of the triangulation of W .

This work is devoted to the investigation of ring Q-homeomorphisms. We formulate conditions for a function Q.x/ and the boundary of a domain under which every ring Q-homeomorphism admits a homeomorphic extension to the boundary. For an arbitrary ring Q-homeomorphism f W D ! D 0 with Q 2 L 1 .D/; we study the problem of the extension of inverse mappings to the boundary. It is proved that an isolated singularity is removable for ring Q-homeomorphisms if Q has finite mean oscillation at a point.