RT Journal Article
T1 Endpoint estimates for Rubio de Francia operators
A1 Carro Rossell, María Jesús
A1 Domingo Salazar, Carlos
AB The extrapolation theory of Rubio de Francia provides a tool to obtain Ap weighted estimates on Lp spaces for every 1 <p< ∞, starting from information at a single 1 < p0 < ∞. However, the endpoint case p = 1 cannot be reached in general. Classical extrapolation arguments in the sense of Yano can be added to this setting to deduce results close to L1 without weights. In this paper, we present different approaches that produce endpoint estimates with respect to the whole A1 class. We give applications to the Carleson operator and maximally modulated singular integrals among others.
PB American Mathematical Society
YR 2019
FD 2019-02-01
LK https://hdl.handle.net/20.500.14352/91215
UL https://hdl.handle.net/20.500.14352/91215
LA eng
NO Carro, M.J., Domingo-Salazar, C.: Endpoint estimates for Rubio de Francia operators. Trans. Amer. Math. Soc. 371, 1621-1648 (2018). https://doi.org/10.1090/tran/7328
NO Gobierno de España
NO Comunidad Autónoma de Cataluña
DS Docta Complutense
RD 17 dic 2025