Abstract
In this paper we establish the following estimate:
where ω ≥ 0, 0 < ε < 1 and Φ(t) = t(1 + log+(t)). This inequality relies upon the following sharp L p estimate:
where 1 < p < ∞, ω ≥ 0 and 0 < δ < 1. As a consequence we recover the following estimate essentially contained in [18]:
We also obtain the analogue estimates for symbol-multilinear commutators for a wider class of symbols.
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This research is supported by the Basque Government through the BERC 2014-2017 program and by Spanish Ministry of Economy and Competitiveness MINECO: BCAM Severo Ochoa excellence accreditation SEV-2013-0323 and the project MTM2014-53850-P.
The second author was supported by Spanish Ministry of Economy and Competitiveness (MINECO) through the project MTM2012-30748.
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Pérez, C., Rivera-Ríos, I.P. Borderline weighted estimates for commutators of singular integrals. Isr. J. Math. 217, 435–475 (2017). https://doi.org/10.1007/s11856-017-1454-6
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DOI: https://doi.org/10.1007/s11856-017-1454-6