Plurisubharmonic functions and real submanifolds of ℂn
Artikel i vetenskaplig tidskrift, 2023

We give an estimate for the volume of an analytic variety (or more generally the mass of a positive closed current) close to a real submanifold M. Applications are given to the Hausdorff measure of the intersection of the variety with M and the exponential integrability of plurisubharmonic functions on M.

Plurisubharmonic function

Hausdorff measure

Positive current

Författare

Bo Berndtsson

Chalmers, Matematiska vetenskaper

Indagationes Mathematicae

0019-3577 (ISSN)

Vol. 34 2 357-366

Ämneskategorier

Geometri

Sannolikhetsteori och statistik

Matematisk analys

DOI

10.1016/j.indag.2023.01.004

Mer information

Senast uppdaterat

2024-03-07