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Sharp weighted estimates for multi-linear Calderón–Zygmund operators on non-homogeneous spaces

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Abstract

In this article, we address pointwise sparse domination for multilinear Calderón—Zygmund operators on upper doubling, geometrically doubling metric measure spaces. As a consequence, we have obtained sharp quantitative weighted estimates for multilinear Calderón–Zygmund operators.

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Acknowledgements

The authors are thankful to the anonymous referee for his/her valuable suggestions and suggesting an improvement in the Dini condition.

Funding

The first author acknowledges Indian Institute of Technology Kanpur for financial support.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, Kanpur, India

    Abhishek Ghosh, Ankit Bhojak & Parasar Mohanty

  2. Department of Mathematics, Indian Institute of Science Education and Research Bhopal, Bhopal, India

    Saurabh Shrivastava

Authors
  1. Abhishek Ghosh
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  2. Ankit Bhojak
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  3. Parasar Mohanty
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  4. Saurabh Shrivastava
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Correspondence to Abhishek Ghosh.

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Ghosh, A., Bhojak, A., Mohanty, P. et al. Sharp weighted estimates for multi-linear Calderón–Zygmund operators on non-homogeneous spaces. J. Pseudo-Differ. Oper. Appl. 11, 1833–1867 (2020). https://doi.org/10.1007/s11868-020-00348-w

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