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Weighted Estimates for Bilinear Bochner-Riesz Means at the Critical Index

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Abstract

In this paper we establish weighted estimates for the bilinear Bochner-Riesz operator \(\mathcal B^{\alpha }\) at the critical index \(\alpha =n-\frac {1}{2}\) with respect to bilinear weights.

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Acknowledgments

The authors would like to thank the referee for valuable suggestions. The second author was supported by Science and Engineering Research Board (SERB), Government of India, under the grant MATRICS: MTR/2017/000039/Math. The third author is supported by CSIR (NET), file no. 09/1020 (0094)/2016-EMR-I.

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Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Science Education and Research, Mohali, India

    K. Jotsaroop

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

    Saurabh Shrivastava & Kalachand Shuin

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  1. K. Jotsaroop
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  2. Saurabh Shrivastava
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  3. Kalachand Shuin
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Correspondence to K. Jotsaroop.

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Jotsaroop, K., Shrivastava, S. & Shuin, K. Weighted Estimates for Bilinear Bochner-Riesz Means at the Critical Index. Potential Anal 55, 603–617 (2021). https://doi.org/10.1007/s11118-020-09870-4

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