Abstract
We prove a (sharp) pointwise estimate for positive dyadic shifts of complexity m which is linear in the complexity. This can be used to give a pointwise estimate for Calderón-Zygmund operators and to answer a question originally posed by Lerner. Several applications to weighted estimates for both multilinear Calderón-Zygmund operators and square functions are discussed.
Original language | English (US) |
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Pages (from-to) | 1111-1135 |
Number of pages | 25 |
Journal | Mathematische Annalen |
Volume | 365 |
Issue number | 3-4 |
DOIs | |
State | Published - Aug 1 2016 |
Externally published | Yes |
Bibliographical note
Funding Information:J. M. Conde-Alonso was partially supported by the ERC StG-256997-CZOSQP, the Spanish Grant MTM2010-16518 and by ICMAT Severo Ochoa Grant SEV-2011-0087 (Spain).
Publisher Copyright:
© 2015, Springer-Verlag Berlin Heidelberg.