Complex Hessian operator and Lelong number for unbounded m-subharmonic functions

DOI10.1007/s11118-015-9498-xzbMath1341.32029OpenAlexW1843100305MaRDI QIDQ5962757

Dongrui Wan, Wei Wang

Publication date: 23 February 2016

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-015-9498-x

zbMATH Keywords

\(m\)-subharmonic functioncomplex Hessian operatorLelong numberLelong-Jensen formula

Mathematics Subject Classification ID

Pluriharmonic and plurisubharmonic functions (31C10) Plurisubharmonic functions and generalizations (32U05)

Related Items (14)

A note on the space of delta \(m\)-subharmonic functions ⋮ The convexity of radially symmetric m-subharmonic functions ⋮ Weighted Green functions for complex Hessian operators ⋮ On pluripotential theory associated to quaternionic \(m\)-subharmonic functions ⋮ The geometry of \(m\)-hyperconvex domains ⋮ Extension and approximation ofm-subharmonic functions ⋮ \(m\)-generalized Lelong numbers and capacity associated to a class of \(m\)-positive closed currents ⋮ Hessian boundary measures ⋮ Complex Hessian operator and generalized Lelong numbers associated to a closed \(m\)-positive current ⋮ On the space of delta \(m\)-subharmonic functions ⋮ Lelong numbers of \(m\)-subharmonic functions ⋮ Complex Hessian operator associated to an \(m\)-positive closed current and weighted \(m\)-capacity ⋮ The classification of holomorphic (m, n)-subharmonic morphisms ⋮ Poincaré- and Sobolev- type inequalities for complex \(m\)-Hessian equations

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