Ronkin L. I.
Extension and approximation of functions subharmonic in a half plane. Impossibility of extension of plurisubharmonic functions
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.
Ukr. Mat. Zh. - 1993. - 45, № 1. - pp. 145-147
The exact lower bound of the area of an analytic curve which lies inside a cube in the space $ℂ$ and passes through its center is obtained.
Ukr. Mat. Zh. - 1991. - 43, № 2. - pp. 247–261
Ukr. Mat. Zh. - 1979. - 31, № 5. - pp. 582–586
Ukr. Mat. Zh. - 1973. - 25, № 1. - pp. 91—95
Ukr. Mat. Zh. - 1964. - 16, № 3. - pp. 408-413