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Sparse Bounds for Pseudo-multipliers Associated to Grushin Operators, II

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Abstract

In this article, we establish pointwise sparse domination results for Grushin pseudo-multipliers corresponding to various symbol classes, as a continuation of our investigation initiated in Bagchi et al. (J Fourier Anal Appl 29(3): 1–38, 2023). As a consequence, we deduce quantitative weighted estimates for these pseudo-multipliers.

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Acknowledgements

SB and RG were supported in parts from their individual INSPIRE Faculty Fellowships from DST, Government of India. RB was supported by the Senior Research Fellowship from CSIR, Government of India. AG was supported in parts by the INSPIRE Faculty Fellowship of RG and institute postdoctoral fellowships from IISER Bhopal and Centre for Applicable Mathematics, TIFR.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Indian Institute of Science Education and Research Kolkata, Mohanpur, West Bengal, 741246, India

    Sayan Bagchi

  2. Department of Mathematics, Indian Institute of Science Education and Research Bhopal, Bhopal, Madhya Pradesh, 462066, India

    Riju Basak & Rahul Garg

  3. Centre for Applicable Mathematics, Tata Institute of Fundamental Research, Bengaluru, Karnataka, 560065, India

    Abhishek Ghosh

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  1. Sayan Bagchi
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  2. Riju Basak
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  3. Rahul Garg
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  4. Abhishek Ghosh
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Correspondence to Riju Basak.

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Bagchi, S., Basak, R., Garg, R. et al. Sparse Bounds for Pseudo-multipliers Associated to Grushin Operators, II. J Geom Anal 34, 34 (2024). https://doi.org/10.1007/s12220-023-01473-w

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