Rashkovskii A. Yu.
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. - 1991. - 43, № 2. - pp. 247–261
Ukr. Mat. Zh. - 1989. - 41, № 9. - pp. 1252–1258