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oai:riuma.uma.es:10630/263962026-02-03T10:57:16Zcom_10630_2254col_10630_37953

Lorente-Domínguez, María Martín-Reyes, Francisco Javier Rivera Ríos, Israel P. 2023-04-24T12:56:01Z 2023-04-24T12:56:01Z 2022-07-04 Lorente, M., Martin-Reyes, F. J., & Rivera-Rios, I. P. (2022). One-sided Cp estimates via M-# function. Proceedings of the Royal Society of Edinburgh. Section A-Mathematics. https://hdl.handle.net/10630/26396 https://doi.org/10.48550/arXiv.2207.01355 We recall that w ∈ C+p if there exist " > 0 and C > 0 such that for any a < b < c with c − b < b − a and any measurable set E ⊂ (a, b), the following holds. This condition was introduced by Riveros and de la Torre as a one-sided counterpart of the Cp condition studied first by Muckenhoupt and Sawyer. In this paper we show that given 1<p<q<∞ if w∈C+q then ∥M+f∥Lp(w)≲∥M♯,+f∥Lp(w) and conversely if such an inequality holds, then w∈C+p. eng http://creativecommons.org/licenses/by/4.0/ open access Atribución 4.0 Internacional Sistemas lineales One-sided Cp estimates via M# function. journal article