2019
Том 71
№ 1

All Issues

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.

↓ Abstract   |   Full text (.pdf)

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.

Full text (.pdf)

Ukr. Mat. Zh. - 1991. - 43, № 2. - pp. 247–261

Article (Ukrainian)

Increase and decrease of subharmonic functions in a cone

Rashkovskii A. Yu.

Full text (.pdf)

Ukr. Mat. Zh. - 1989. - 41, № 9. - pp. 1252–1258