Sets of Minimal Capacity and Extremal Domains
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Cites background from "Sets of Minimal Capacity and Extrem..."
...The main result in [51] is the existence and uniqueness theorem of a compact S ⊂ Tf with (2....
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...In his recent paper [51] he introduced a more general concept of “extremal cuts” (or maximal domain) related to an element f of an analytic function at ∞....
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58 citations
References
2,246 citations
"Sets of Minimal Capacity and Extrem..." refers background in this paper
...holds true (see Chapter VIII of [11] or [8], Theorem 1....
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1,885 citations
"Sets of Minimal Capacity and Extrem..." refers background or methods or result in this paper
...The lemma can be proved like the analogous result in [15], Theorem 1....
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...Part (ii) of the lemma has been proved in [15], Theorem 1....
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...There exist techniques to overcome this specific problem, as for instance, the use of local smoothing techniques at the singularity of the Green function, which is demonstrated in detail in [15], Chapter 1, §5....
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...As general references to potentialtheoretic results we have used [27], [26], and sometimes also [15]....
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Additional excerpts
...We also mention in this respect the textbooks [5] and [24]....
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1,560 citations
"Sets of Minimal Capacity and Extrem..." refers background or methods or result in this paper
...As general references to potentialtheoretic results we have used [27], [26], and sometimes also [15]....
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...5 in Chapter II of [27] it follows that if we define the measure σ on γ by dσ(v) := − 1 2π ( ∂ ∂n− + ∂ ∂n+ )u(v)dsv, (11....
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...A systematic investigation of Green energy and Green capacity together with the associated Green potentials can be found in [27], Chapter II....
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...1 in the Appendix A of [27]) that d(z) = 0 for z ∈ D, which proves the lemma....
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...1 of [27], which will also be used in the present subsection; it is the basis for the proof of Lemma 36, below, after the next paragraph....
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