| 1. |
- Cegrell, Urban
(författare)
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Potentials with respect to the pluricomplex Green function
- 2012
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Ingår i: Annales Polonici Mathematici. - : Institute of mathematics, Polish academy of sciences. - 0066-2216 .- 1730-6272. ; 106, s. 107-111
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Tidskriftsartikel (refereegranskat)abstract
- For μ a positive measure, we estimate the pluricomplex potential of μ, Pμ(x)=∫Ωg(x,y)dμ(y), where g(x,y) is the pluricomplex Green function (relative to Ω) with pole at y.
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| 2. |
- Czyz, Rafal, et al.
(författare)
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Plurisubharmonic functions on compact sets
- 2012
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Ingår i: Annales Polonici Mathematici. - : Institute of Mathematics, Polish Academy of Sciences. - 0066-2216 .- 1730-6272. ; 106, s. 133-144
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Tidskriftsartikel (refereegranskat)abstract
- Poletsky has introduced a notion of plurisubharmonicity for functions defined on compact sets in C-n. We show that these functions can be completely characterized in terms of monotone convergence of plurisubharmonic functions defined on neighborhoods of the compact.
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| 3. |
- Suciu, Laurian, et al.
(författare)
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Decompositions and asymptotic limit for bicontractions
- 2012
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Ingår i: Annales Polonici Mathematici. - : Institute of Mathematics, Polish Academy of Sciences. - 1730-6272 .- 0066-2216. ; 105:1, s. 43-64
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Tidskriftsartikel (refereegranskat)abstract
- The asymptotic limit of a bicontraction T (that is, a pair of commuting contractions) on a Hilbert space H is used to describe a Nagy–Foiaş–Langer type decomposition of T. This decomposition is refined in the case when the asymptotic limit of T is an orthogonal projection. The case of a bicontraction T consisting of hyponormal (even quasinormal) contractions is also considered, where we have ST∗=S2T∗.
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| 4. |
- Åhag, Per, et al.
(författare)
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Radially symmetric plurisubharmonic functions
- 2012
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Ingår i: Annales Polonici Mathematici. - : Institute of Mathematics, Polish Academy of Sciences. - 0066-2216 .- 1730-6272. ; 106, s. 1-17
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Tidskriftsartikel (refereegranskat)abstract
- In this note we consider radially symmetric plurisubharmonic functions and the complex Monge–Ampère operator. We prove among other things a complete characterization of unitary invariant measures for which there exists a solution of the complex Monge–Ampère equation in the set of radially symmetric plurisubharmonic functions. Furthermore, we prove in contrast to the general case that the complex Monge–Ampère operator is continuous on the set of radially symmetric plurisubharmonic functions. Finally we characterize radially symmetric plurisubharmonic functions among the subharmonic ones using merely the laplacian.
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