Approximation of m-subharmonic functions on bounded domains in Cn
Sign Up to like & getrecommendations! 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
Lelong numbers of m-subharmonic functions
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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
Default functions and Liouville type theorems based on symmetric diffusions
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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