1985β€’Proceedings of the American Mathematical SocietyOpen access

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

Finbarr Holland, John B. Twomey

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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 {H^p} spaces and yet do not have bounded mean oscillation.

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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 {H^p} spaces and yet do not have bounded mean oscillation.

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Available 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 {H^p} spaces and yet do not have bounded mean oscillation.

Key concepts: Intersection (aeronautics), Bounded function, Annotation, Mathematics, Semantics (computer science), Space (punctuation), Algorithm, Computer science

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