Geodesic
On delta $m$-subharmonic functions
Van Thien Nguyen1
1 Institute of Mathematics Jagiellonian University Łojasiewicza 6 30-348 Kraków, Poland
Annales Polonici Mathematici, Tome 118 (2016) no. 1, pp. 25-49 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Let $p \gt 0$, and let $\mathcal {E}_{p,m}$ be the cone of negative $m$-subharmonic functions with finite $m$-pluricomplex $p$-energy. We will define a quasi-norm on the vector space $\delta \mathcal {E}_{p,m}=\mathcal {E}_{p,m}-\mathcal {E}_{p,m}$ and prove that this vector space with this quasi-norm is a quasi-Banach space. Furthermore, we characterize its topological dual.
DOI : 10.4064/ap3959-9-2916
Keywords: mathcal cone negative m subharmonic functions finite m pluricomplex p energy define quasi norm vector space delta mathcal mathcal mathcal prove vector space quasi norm quasi banach space furthermore characterize its topological dual

Van Thien Nguyen 1

1 Institute of Mathematics Jagiellonian University Łojasiewicza 6 30-348 Kraków, Poland 
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Van Thien Nguyen. On delta $m$-subharmonic functions. Annales Polonici Mathematici, Tome 118 (2016) no. 1, pp. 25-49. doi: 10.4064/ap3959-9-2916

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