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Calderón–Zygmund Operators on Local Hardy Spaces

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Abstract

We give necessary and sufficient conditions for inhomogeneous Calderón–Zgymund operators to be bounded on the local Hardy spaces \(h^{p}({\mathbb {R}}^{n})\). We then give applications to local and truncated Riesz transforms, as well as pseudo-differential operators defined by amplitudes.

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Authors and Affiliations

  1. School of Mathematical and Physical Sciences, Macquarie University, Sydney, NSW, 2109, Australia

    The Anh Bui

  2. School of Mathematics and Statistics, The Learning Hub, The University of Sydney, Sydney, NSW, 2006, Australia

    Fu Ken Ly

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  1. The Anh Bui
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  2. Fu Ken Ly
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Correspondence to The Anh Bui.

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T. A. Bui was supported by the research grant ARC DP220100285 from the Australian Research Council.

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Bui, T.A., Ly, F.K. Calderón–Zygmund Operators on Local Hardy Spaces. Potential Anal 60, 533–551 (2024). https://doi.org/10.1007/s11118-022-10059-0

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