Explicit examples of Bloch functions in every 𝐻^{𝑝} space, but not in BMOA

Holland, Finbarr; Twomey, J. Brian

doi:10.1090/S0002-9939-1985-0801328-5

Explicit examples of Bloch functions in every $H^ p$ space, but not in BMOA
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by Finbarr Holland and J. Brian Twomey PDF

Proc. Amer. Math. Soc. 95 (1985), 227-229 Request permission

Abstract:

It is shown how to construct analytic functions, with nonnegative Taylor coefficients, that belong to the intersection of the space of Bloch functions and all the ${H^p}$ spaces and yet do not have bounded mean oscillation.

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