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.
CITATION STYLE
Conde-Alonso, J. M., & Rey, G. (2016). A pointwise estimate for positive dyadic shifts and some applications. Mathematische Annalen, 365(3–4), 1111–1135. https://doi.org/10.1007/s00208-015-1320-y
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