Extension and approximation of functions subharmonic in a half plane. Impossibility of extension of plurisubharmonic functions

  • A. Yu. Rashkovskii
  • L. I. Ronkin

Abstract

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.
Published
25.08.1994
How to Cite
RashkovskiiA. Y., and RonkinL. I. “Extension and Approximation of Functions Subharmonic in a Half Plane. Impossibility of Extension of Plurisubharmonic Functions”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 46, no. 8, Aug. 1994, pp. 1017–1030, https://umj.imath.kiev.ua/index.php/umj/article/view/5655.
Section
Research articles