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Sparse bilinear forms for Bochner Riesz multipliers and applications

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URI: https://hdl.handle.net/10016/38528
ISSN: 2052-4986
DOI: https://doi.org/10.1112/tlm3.12005
UXXI: AR/0000021684
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sparse_TLMS_2017.pdf (418.54 KB)
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2017-12-01
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London Mathematical Society
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We use the very recent approach developed by Lacey in [An elementary proof of the A2 Bound, Israel J. Math., to appear] and extended by Bernicot, Frey and Petermichl in [Sharp weighted norm estimates beyond Calderon-Zygmund theory, Anal. PDE 9 (2016) 1079-1113], in order to control Bochner-Riesz operators by a sparse bilinear form. In this way, new quantitative weighted estimates, as well as vector-valued inequalities are deduced.
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Benea, C., Bernicot, F., & Luque, T. (2017). Sparse bilinear forms for Bochner Riesz multipliers and applications. Transactions of the London Mathematical Society, 4(1), 110-128.
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