Abstract
We show that the L2(w) operator norm of the composition M∘TΩ, where M is the maximal operator and TΩ is a rough homogeneous singular integral with angular part Ω∈L∞(Sn−1), depends quadratically on [w]A2, and that this dependence is sharp.
Translated title of the contribution | A note on weighted bounds for rough singular integrals |
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Original language | English |
Pages (from-to) | 77-80 |
Number of pages | 4 |
Journal | Comptes Rendus Mathematique |
Volume | 356 |
Issue number | 1 |
DOIs | |
State | Published - Jan 2018 |
Bibliographical note
Publisher Copyright:© 2017 Académie des sciences
Funding
The author was supported by ISF grant No. 447/16 and ERC Starting Grant No. 713927.
Funders | Funder number |
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Horizon 2020 Framework Programme | |
H2020 European Research Council | 713927 |
Israel Science Foundation | 447/16 |