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Titlebook: Capacities in Complex Analysis; Urban Cegrell Book 1988 Springer Fachmedien Wiesbaden 1988 Extremwert.Funktionentheorie.Operator.algorithm

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楼主: 军械
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The Global Extremal Function,Denote by L the class of plurisubharmonic functions f on ₵. such that.where a. is a constant (depending on f).
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Capacities on the Boundary,Let U be an open, bounded and connected subset of ₵. containing zero. Then H(U) (H∞(U)) is the class of (bounded) analytic functions on U and A(U) consists of the functions in H(U) that extends continuously to Ū. If μ is a positive measure on ∂U we define H.(μ,∂U) (1≤p<+∞) to be the closure of A(U) in L.(μ,∂U).
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Complex Homomorphisms,In the last section, we saw that one could assign “boundary values” to certain analytic functions by considering closed extensions of the restriction operator.
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https://doi.org/10.1007/978-3-663-14203-4Extremwert; Funktionentheorie; Operator; algorithm analysis and problem complexity
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978-3-528-06335-1Springer Fachmedien Wiesbaden 1988
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https://doi.org/10.1007/3-211-27911-3to be the Lebesgue measure on B, it is well known that U=B and δ satisfies all the assumptions made in Section III; the “coarse” problem has a positive solution. But much more can be said: the fine problem has a positive solution.
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Subharmonic Functions in IRn,to be the Lebesgue measure on B, it is well known that U=B and δ satisfies all the assumptions made in Section III; the “coarse” problem has a positive solution. But much more can be said: the fine problem has a positive solution.
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