1. Lelong numbers of m-subharmonic functions.
- Author
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Benali, Amel and Ghiloufi, Noureddine
- Subjects
- *
SUBHARMONIC functions , *EXPONENTS , *MEAN value theorems , *NUMBER theory , *SET theory - Abstract
In this paper we study the existence of Lelong numbers of m -subharmonic currents of bidimension ( p , p ) on an open subset of C n , when m + p ≥ n . In the special case of m -subharmonic function φ , we give a relationship between the Lelong numbers of d d c φ and the mean values of φ on spheres and balls. As an application we study the integrability exponent of φ . We express the integrability exponent of φ in terms of volume of sub-level sets of φ and we give a link between this exponent and its Lelong number. [ABSTRACT FROM AUTHOR]
- Published
- 2018
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