The geometry of \(m\)-hyperconvex domains
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Publication:1711049
DOI10.1007/s12220-017-9957-2zbMath1421.31016arXiv1703.02796OpenAlexW3126446078WikidataQ59610217 ScholiaQ59610217MaRDI QIDQ1711049
Lisa Hed, Rafał Czyż, Per Åhag
Publication date: 16 January 2019
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1703.02796
\(m\)-subharmonic functionbarrier functionJensen measureexhaustion functionCaffarelli-Nirenberg-Spruck model
Boundary behavior of harmonic functions in higher dimensions (31B25) Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Plurisubharmonic functions and generalizations (32U05) Other notions of convexity in relation to several complex variables (32F17) Exhaustion functions (32T35) Plurisubharmonic exhaustion functions (32U10)
Related Items (15)
Structure of singular sets of some classes of subharmonic functions ⋮ On the regularity of the complex Hessian equation ⋮ A note on the space of delta \(m\)-subharmonic functions ⋮ Smooth approximation of quaternionic plurisubharmonic functions ⋮ Approximation of \(m\)-subharmonic function with given boundary values ⋮ On pluripotential theory associated to quaternionic \(m\)-subharmonic functions ⋮ The Dirichlet problem for $m$-subharmonic functions on compact sets ⋮ Hessian boundary measures ⋮ On \(m\)-subharmonic ordering of measures ⋮ On a characterization of $m$-subharmonic functions with weak singularities ⋮ The classification of holomorphic (m, n)-subharmonic morphisms ⋮ Poincaré- and Sobolev- type inequalities for complex \(m\)-Hessian equations ⋮ On a family of quasimetric spaces in generalized potential theory ⋮ Decay near boundary of volume of sublevel sets of \(m\)-subharmonic functions ⋮ On the weighted \(m\)-energy classes
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