Brennan conjecture
id:
brennan-conjecture-277-2386607
title:
Brennan conjecture
text:
The Brennan conjecture is a mathematical hypothesis for estimating the integral powers of the moduli of the derivatives of conformal maps into the open unit disk. The conjecture was formulated by James E. Brennan in 1978. Let W be a simply connected open subset of C with at least two boundary points in the extended complex plane. Let φ be a conformal map of W onto the open unit disk. The Brennan conjecture states that ∫ W | φ ′ | p d x d y < ∞ whenever 4 / 3 < p < 4 . Brennan proved the result
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wiki
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encyclopedia
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original url:
https://en.wikipedia.org/wiki/Brennan_conjecture
date created:
date modified:
2022-01-29T09:32:36Z
main entity:
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13
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