On the shape of the unit sphere in 𝑄(Δ)

Goldberg, Lisa R.

doi:10.1090/S0002-9939-1993-1186987-7

On the shape of the unit sphere in $Q(\Delta )$
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Proc. Amer. Math. Soc. 118 (1993), 1179-1185 Request permission

Abstract:

We show that the unit sphere in the Banach space of ${L^1}$ holomorphic quadratic differentials on the disk is weakly uniformly convex with exponent $1/2$ at certain points.

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