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arXiv · 1910.10526

A radial integrability result concerning bounded functions in analytic Besov spaces with applications

Salvador Domínguez·Daniel Girela
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Abstract

We prove that for every $p\ge 1$ there exists a bounded function in the analytic Besov space $B^p$ whose derivative is "badly integrable", along every radius. We apply this result to study multipliers and weighted superposition operators acting on the spaces $B^p$.

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Salvador Domínguez, Daniel Girela. 2019-10-23. A radial integrability result concerning bounded functions in analytic Besov spaces with applications. https://doi.org/10.1007/s00025-020-01194-4

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