On the integrals of BMOA functions (Q1106358)

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scientific article; zbMATH DE number 4061613
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On the integrals of BMOA functions
scientific article; zbMATH DE number 4061613

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    On the integrals of BMOA functions (English)
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    1988
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    The author considers the space of analytic functions f defined on the unit disc by \(F(z)=\int^{z}_{0}f(w)dw\), where f is in BMOA, the space of analytic functions of bounded mean oscillation. It is proven that this forms a Banach algebra with norm related to the usual BMOA-norm by \(\| F\| =K\| f\|_*\), for a certain constant K.
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    Bloch space
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    BMOA
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    bounded mean oscillation
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