Abstract
In this paper, we are concerned with quantitative weighted \(\mathop {\mathrm {BMO}}\)-type estimates. We provide a new quantitative proof for a result due to Harboure, Macías and Segovia (Amer J Math 110 (1988), 383–397, [15]) that also allows to slightly weaken the hypothesis. We also obtain some sharp weighted \(L_c^\infty -\mathop {\mathrm {BMO}}\)-type estimates for Calderón–Zygmund operators.
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Acknowledgements
The second and the third authors are supported by the Spanish Ministry of Economy and Competitiveness MINECO through BCAM Severo Ochoa excellence accreditation SEV-2013-0323 and through the project MTM2017-82160-C2-1-P and also by Basque Government through the BERC 2014-2017 program and the grant IT-641-13.
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Criado, A., Pérez, C., Rivera-Ríos, I.P. (2019). Sharp Quantitative Weighted \(\mathop {\mathrm {BMO}}\) Estimates and a New Proof of the Harboure–Macías–Segovia’s Extrapolation Theorem. In: Aldroubi, A., Cabrelli, C., Jaffard, S., Molter, U. (eds) New Trends in Applied Harmonic Analysis, Volume 2. Applied and Numerical Harmonic Analysis. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-32353-0_8
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DOI: https://doi.org/10.1007/978-3-030-32353-0_8
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