A note on the space of delta m-subharmonic functions

In this note, we present some properties of a certain space of delta m-subharmonic functions. We prove that the convergence in this space implies the convergence in m-capacity. Keywords: m-subharmonic functions; complex Hessian equations; quasi-Banach space; convergence in capacity Mathematics Subje...

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Veröffentlicht in:	AIMS Mathematics 2020-01, Vol.5 (3), p.2369-2375
Hauptverfasser:	Thien Nguyen, Van, Ariffin Abdul Karim, Samsul, Dat Truong, Dinh
Format:	Artikel
Sprache:	eng
Schlagworte:	complex hessian equations convergence in capacity m-subharmonic functions quasi-banach space
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Zusammenfassung:	In this note, we present some properties of a certain space of delta m-subharmonic functions. We prove that the convergence in this space implies the convergence in m-capacity. Keywords: m-subharmonic functions; complex Hessian equations; quasi-Banach space; convergence in capacity Mathematics Subject Classification: 32U15, 32U20
ISSN:	2473-6988 2473-6988
DOI:	10.3934/math.2020156