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arXiv · 1807.06999

Integration and differentiation operators between growth spaces

Evgueni Doubtsov
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Abstract

For arbitrary radial weights $w$ and $u$, we study the integration operator between the growth spaces $H_w^\infty$ and $H_u^\infty$ on the complex plane. Also, we investigate the differentiation operator on the Hardy growth spaces $H_w^p$, $0<p<\infty$, defined on the unit disk or on the complex plane. As in the case $p=\infty$, the log-convex weights $w$ play a special role in the problems under consideration.

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Evgueni Doubtsov. 2018-07-18. Integration and differentiation operators between growth spaces. https://arxiv.org/abs/1807.06999

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