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Operators on Mixed-Norm Amalgam Spaces via Extrapolation

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Abstract

Let \(t\in(0,\infty)\), \(\vec{p}\in(1,\infty)^{n}\) and \(\vec{q}\in[1,\infty)^{n}\). We establish versions of the Rubio de Francia extrapolation theorem, and further obtain the bounds for some classical operators and the commutators in harmonic analysis on the mixed-norm amalgam space \((L^{\vec{p}},L^{\vec{q}})_{t}({\mathbb{R}^{n}})\). As an application, a characterization of the mixed-norm amalgam spaces is given.

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ACKNOWLEDGMENTS

All authors would like to express their thanks to the referees for valuable advice regarding previous version of this paper.

Funding

This project is supported by the National Natural Science Foundation of China (grant no. 12061069) and the Natural Science Foundation Project of Chongqing, China (grant no. cstc2021jcyj-msxmX0705).

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  1. Xinjiang University, Chongqing Three Gorges University, Chongqing, China

    Y. Lu, J. Zhou# & S. Wang

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  1. Y. Lu
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Correspondence to Y. Lu, J. Zhou# or S. Wang.

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Lu, Y., Zhou#, J. & Wang, S. Operators on Mixed-Norm Amalgam Spaces via Extrapolation. J. Contemp. Mathemat. Anal. 58, 226–242 (2023). https://doi.org/10.3103/S1068362323040052

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