2019
Том 71
№ 10

# Ronkin L. I.

Articles: 6
Article (Ukrainian)

### 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.

Brief Communications (Russian)

### Lower bound for the area of an analytic curve inside a cube in the space $ℂ^n$

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.

Article (Ukrainian)

### Cluster sets of subharmonic functions and associated measures in a cone

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

Article (Ukrainian)

### Liouville's theorems for functions holomorphic on the zero set of a polynomial

Ukr. Mat. Zh. - 1979. - 31, № 5. - pp. 582–586

Article (Ukrainian)

### The continuation of interior functions in the polydisc

Ukr. Mat. Zh. - 1973. - 25, № 1. - pp. 91—95

Brief Communications (Russian)

### On adjoint orders and types of whole functions with many variables

Ukr. Mat. Zh. - 1964. - 16, № 3. - pp. 408-413