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arXiv · 1810.12833

The $\ell^s$-boundedness of a family of integral operators on UMD Banach function spaces

Emiel Lorist
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Abstract

We prove the $\ell^s$-boundedness of a family of integral operators with an operator-valued kernel on UMD Banach function spaces. This generalizes and simplifies earlier work by Gallarati, Veraar and the author, where the $\ell^s$-boundedness of this family of integral operators was shown on Lebesgue spaces. The proof is based on a characterization of $\ell^s$-boundedness as weighted boundedness by Rubio de Francia.

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Emiel Lorist. 2018-10-30. The $\ell^s$-boundedness of a family of integral operators on UMD Banach function spaces. https://doi.org/10.1007/978-3-030-10850-2_20

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