adduction
发表于 2025-3-23 11:47:02
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改变立场
发表于 2025-3-23 14:01:00
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Ischemic-Stroke
发表于 2025-3-23 19:18:47
https://doi.org/10.1007/978-3-031-36690-1Let 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).
MAUVE
发表于 2025-3-23 23:10:33
https://doi.org/10.1007/978-3-031-36690-1We keep the notation from Section X.
HAVOC
发表于 2025-3-24 05:32:55
https://doi.org/10.1007/978-3-031-36690-1In the last section, we saw that one could assign “boundary values” to certain analytic functions by considering closed extensions of the restriction operator.
Statins
发表于 2025-3-24 08:55:09
Capacities,Let U be a σ-compact Hausdorff-space. A . c on U is a set function defined on P(U), the subsets of U, with the following properties:
ANT
发表于 2025-3-24 13:21:26
Outer Regularity,In this section, we assume S to be a compact and metric space.
hardheaded
发表于 2025-3-24 16:28:56
Outer Regularity (Cont.),In this section, we continue our study of outer regularity but in a more special situation. Many problems in complex function theory are related to outer regular capacities — in particular outer regularity of zero sets. We therefore proceed as follows.
护身符
发表于 2025-3-24 21:27:26
,Further Properties of the Monge-Ampère Operator,Let B be the unit ball in (₵. and let P be the restriction to ̄B of all negative plurisubharmonic functions on RB where R>1. We saw in Section V that F=−P and δ, the Lebesgue measure on B, give rise to two natural capacities . and . where . and where M is defined to be the weak*-closed convex set of positive measures μ on B such that
Choreography
发表于 2025-3-24 23:14:54
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