Maqola

m-subharmonic functions on the projective space P<sup>n</sup>

Gökhan GöğüşNational University of Uzbekistan, Institute of Mathematics of Uzbek Academy, Tashkent, UzbekistanAzimbay Sadullaev

Bulletin of National University of Uzbekistan Mathematics and Natural Sciencesjournal2021en

ABI

Annotatsiya

We consider a class of quasi m-subharmonic functions in the projective space ℙn. Similarly to the m-subharmonic functions, we will show a number of potential properties of quasi m-subharmonic functions. We introduce the concepts of Green’s function Vqm*(z,K,ℙn), ��m-measure ωqm*(z,E,D) and study m-regularities of compact sets K ⊂ ℙn. In contrast to the complex space ℂn, we will prove that in the projective space ℙn the locally m-regularity of compact sets is equivalent to their global m-regularity.

Mavzular

Geometry and complex manifolds Geometric Analysis and Curvature Flows Holomorphic and Operator Theory

Identifikatorlar

DOI: 10.56017/2181-1318.1207

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Koʻrsatkichlar — AkademScholar · Tez orada

m-subharmonic functions on the projective space P&lt;sup&gt;n&lt;/sup&gt;

Annotatsiya

Mavzular

Identifikatorlar

Iqtiboslar va manbalar

m-subharmonic functions on the projective space P<sup>n</sup>