A note on weighted bounds for rough singular integrals

Translated title of the contribution: A note on weighted bounds for rough singular integrals

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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 contributionA note on weighted bounds for rough singular integrals
Original languageEnglish
Pages (from-to)77-80
Number of pages4
JournalComptes Rendus Mathematique
Volume356
Issue number1
DOIs
StatePublished - 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.

FundersFunder number
Horizon 2020 Framework Programme
H2020 European Research Council713927
Israel Science Foundation447/16

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