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Proceedings of the American Mathematical Society

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Convolution in the harmonic Hardy class $ h\sp p$ with $ 0<p<1$


Author: Miroslav Pavlović
Journal: Proc. Amer. Math. Soc. 109 (1990), 129-134
MSC: Primary 31A05; Secondary 30D55
DOI: https://doi.org/10.1090/S0002-9939-1990-1012937-7
MathSciNet review: 1012937
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Abstract: It is proved that if $ u \in {h^p},0 < p < 1$, and $ v \in {h^q},q \geq p$, then

$\displaystyle {M_q}(u * v,r) = 0\left( {{{(1 - r)}^{1 - 1/p}}} \right),r \to 1 - ,$

where $ u*v$ stands for the convolution of $ u$ and $ v$.

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DOI: https://doi.org/10.1090/S0002-9939-1990-1012937-7
Article copyright: © Copyright 1990 American Mathematical Society

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