On Hartogs compacts of holomorphy

This paper considers the question of characterizing Hartogs compacts of holomorphy in the space of two complex variables by finding connections with problems of approximating functions on compact sets by superharmonic (harmonic) functions. In particular, it gives a solution of the problem of uniformly approximating a function continuous on a compact set and superharmonic in the interior by functions superharmonic on the compact set.
Bibliography: 10 titles.