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   Articles with "subharmonic functions" as a keyword



Approximation of m-subharmonic Functions in Weighted Energy Classes with Given Boundary Values

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recommendations! Published in 2025 at "Bulletin of the Malaysian Mathematical Sciences Society"

DOI: 10.1007/s40840-025-01881-x

Abstract: This paper investigates the subextensions of m-subharmonic functions in weighted energy classes with given boundary values. These results are employed to approximate m-subharmonic functions in weighted energy classes by an increasing sequence of m-subharmonic functions… read more here.

Keywords: functions weighted; energy classes; weighted energy; classes given ... See more keywords
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Approximation of m-subharmonic functions on bounded domains in Cn

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recommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2018.05.050

Abstract: Abstract Let D be a bounded domain in C n . We study approximation of (not necessarily bounded from above) m-subharmonic function D by continuous m-subharmonic ones defined on neighborhoods of D ‾ . We… read more here.

Keywords: approximation subharmonic; bounded domains; functions bounded; function ... See more keywords
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Lelong numbers of m-subharmonic functions

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recommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2018.06.055

Abstract: In this paper we study the existence of Lelong numbers of $m-$subharmonic currents of bidimension $(p,p)$ on an open subset of $\Bbb C^n$, when $m+p\geq n$. In the special case of $m-$subharmonic function $\varphi$, we… read more here.

Keywords: lelong numbers; numbers subharmonic; exponent; subharmonic functions ... See more keywords

Maximal subextension and stability in m-capacity of maximal subextension of m-subharmonic functions with given boundary values

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recommendations! Published in 2025 at "Mathematica Slovaca"

DOI: 10.1515/ms-2025-0023

Abstract: Abstract In this paper, we study maximal subextension of m-subharmonic functions with given boundary values. We also prove stability in m-capacity of maximal subextension of m-subharmonic functions with given boundary values. read more here.

Keywords: subharmonic functions; given boundary; subextension; functions given ... See more keywords

Default functions and Liouville type theorems based on symmetric diffusions

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recommendations! Published in 2020 at "Journal of The Mathematical Society of Japan"

DOI: 10.2969/jmsj/82398239

Abstract: Default functions appear when one discusses conditions which ensure that a local martingale is a true martingale. We show vanishing of default functions of Dirichlet processes enables us to obtain Liouville type theorems for subharmonic… read more here.

Keywords: default; liouville type; function; default functions ... See more keywords