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- W2025086451 abstract "We prove the inequality h(x) -1 G(x, y)h(y) ≤ cG(x, y) + c. where G is the Green function of a plane domain D, h is positive and harmonic on D, and c is a constant whose value depends on the topological nature of the domain. In particular, for the class of proper simply connected domains c may be taken to be an absolute constant. As an application, we prove the Conditional Gauge Theorem for plane domains of finite area for which the constant c in the above inequality is finite" @default.
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- W2025086451 date "1990-02-01" @default.
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- W2025086451 title "A conformal inequality related to the conditional gauge theorem" @default.
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- W2025086451 doi "https://doi.org/10.1090/s0002-9947-1990-0957083-8" @default.
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