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| 2. |
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| 3. |
- Carlsson, Linus, et al.
(författare)
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Spectrum of certain Banach algebras and б-problems
- 2007
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Ingår i: Annales Polonici Mathematici. - Warsawa : Institute of Mathematics, Polish Academy of Sciences. - 0066-2216 .- 1730-6272. ; 90:1, s. 51-58
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Tidskriftsartikel (refereegranskat)
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| 4. |
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| 5. |
- Cegrell, Urban, 1943-, et al.
(författare)
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Monge-Ampère boundary measures
- 2009
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Ingår i: Annales Polonici Mathematici. - 0066-2216 .- 1730-6272. ; 96:2, s. 175-196
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Tidskriftsartikel (refereegranskat)abstract
- We study swept-out Monge–Ampère measures of plurisubharmonic functions and boundary values related to those measures.
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| 6. |
- Cegrell, Urban
(författare)
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The gradient lemma
- 2007
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Ingår i: Annales Polonici Mathematici. - 0066-2216 .- 1730-6272. ; 91:2-3, s. 143-146
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Tidskriftsartikel (refereegranskat)abstract
- We show that if a decreasing sequence of subharmonic functions converges to a function in W-loc(1,2) then the convergence is in W-loc(1,2) .
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| 7. |
- Klimek, Maciej, et al.
(författare)
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Generalized iterated function systems, multifunctions and Cantor sets
- 2009
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Ingår i: Annales Polonici Mathematici. - Warsaw : IM PAN. - 0066-2216 .- 1730-6272. ; 96:1, s. 25-41
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Tidskriftsartikel (refereegranskat)abstract
- Using a construction similar to an iterated function system, but withfunctions changing at each step of iteration, we provide a natural example of a continuous one-parameter family of holomorphic functions of infinitely many variables. This family is parametrized by the compact space of positive integer sequences of prescribed growth and hence it can also be viewed as a parametric description of a trivial analytic multifunction.
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| 8. |
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| 9. |
- Åhag, Per, et al.
(författare)
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Concerning the energy class epsilon(p) for 0 < p < 1
- 2007
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Ingår i: Annales Polonici Mathematici. - 0066-2216 .- 1730-6272. ; 91:2-3, s. 119-130
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Tidskriftsartikel (refereegranskat)abstract
- The energy class S, is studied for 0 < p < 1. A characterization of certain bounded plurisubharmonic functions in terms of F, and its pluricomplex p-energy is proved.
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| 10. |
- Åhag, Per, et al.
(författare)
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Continuous pluriharmonic boundary values
- 2007
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Ingår i: Annales Polonici Mathematici. - 0066-2216 .- 1730-6272. ; 91:2-3, s. 99-117
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Tidskriftsartikel (refereegranskat)abstract
- Let D-j be a bounded hyperconvex domain in C-nj and set D = D-1 x ..... x D-s, j = 1,...,s, s >= 3. Also let G(n) be the symmetrized polydisc in C-n, n >= 3. We characterize those real-valued continuous functions defined on the boundary of D or G. which can be extended to the inside to a pluriharmonic function. As an application a complete characterization of the compliant functions is obtained.
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