Poincaré- and Sobolev- type inequalities for complex \(m\)-Hessian equations

DOI10.1007/s00025-020-01189-1zbMath1441.32011arXiv1908.10135OpenAlexW3101535560MaRDI QIDQ2309625

Rafał Czyż, Per Åhag

Publication date: 1 April 2020

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.10135

zbMATH Keywords

integrabilityPoincaré-type inequalitySobolev-type inequality\(m\)-subharmonic functioncomplex Hessian operator

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Plurisubharmonic functions and generalizations (32U05)

Related Items (4)

On the regularity of the complex Hessian equation ⋮ A characterization of the degenerate complex Hessian equations for functions with bounded (p,m)-energy ⋮ On a family of quasimetric spaces in generalized potential theory ⋮ On the weighted \(m\)-energy classes

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