Nonstandard Calder\'on-type theorems

David Kubíček

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arXiv · 2512.06826

Nonstandard Calder\'on-type theorems

David Kubíček

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Abstract

We establish Calder\'on-type theorems for operators bounded on nonstandard end-point Lorentz spaces \begin{equation*} T\colon L^{p_0, q_0}\to L^{p_1, q_1}\quad\text{and}\quad T\colon L^{q, 1}\to L^\infty \end{equation*} and the improvement of target spaces which is intimately connected with this. The emphasis will be placed on the cases $q_0=q_1$ and $q_1=\infty$.

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David Kubíček. 2025-12-07. Nonstandard Calder\'on-type theorems. https://arxiv.org/abs/2512.06826

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