Article

Removable singularities of plurisubharmonic functions of class $ \operatorname{Lip}_\alpha$

Azimbay SadullaevAl-Kharezmi Urgench State University, Khorezm, UzbekistanZh R YarmetovAl-Kharezmi Urgench State University, Khorezm, Uzbekistan

Sbornik Mathematicsjournal1995en

ABI

Abstract

The structure of singular sets of subharmonic functions satisfying a Lipschitz condition is analyzed. The following theorem is the main result of the paper. Theorem. Let be a closed subset of a domain such that , . Then every function in the class that is subharmonic in extends subharmonically to .

Topics

Holomorphic and Operator Theory Advanced Harmonic Analysis Research Geometry and complex manifolds

Identifiers

DOI: 10.1070/sm1995v186n01abeh000008

Citations and references

Cited by 2 4 references

Metrics — AkademScholar · Coming soon