Rashkovskii A. Yu.
Articles: 3
Article (Ukrainian)
Extension and approximation of functions subharmonic in a half plane. Impossibility of extension of plurisubharmonic functions
Rashkovskii A. Yu., Ronkin L. I.
Ukr. Mat. Zh. - 1994. - 46, № 8. - pp. 1017–1030
We construct different extensions of functions subharmonic in a half plane to the whole plane. The results obtained are applied to the approximation of subharmonic functions of finite order in a half plane by the logarithm of the modulus of an entire function. It is shown that the problem of extension of a plurisubharmonic function may have no solution.
Article (Ukrainian)
Cluster sets of subharmonic functions and associated measures in a cone
Rashkovskii A. Yu., Ronkin L. I.
Ukr. Mat. Zh. - 1991. - 43, № 2. - pp. 247–261
Article (Ukrainian)
Increase and decrease of subharmonic functions in a cone
Ukr. Mat. Zh. - 1989. - 41, № 9. - pp. 1252–1258