RT Journal Article
T1 One-sided Cp estimates via M# function.
A1 Lorente-Domínguez, María
A1 Martín-Reyes, Francisco Javier
A1 Rivera Ríos, Israel P.
K1 Sistemas lineales
AB 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.
PB Cambridge
YR 2022
FD 2022-07-04
LK https://hdl.handle.net/10630/26396
UL https://hdl.handle.net/10630/26396
LA eng
NO 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.
NO The first and the second authors were partially supported by Ministerio de Economía y Competitividad, Spain, grant PGC2018-096166-B-100 and by Junta de Andalucía grant FQM-354. The third author was supported as well by Agencia I+D+i grants PICT 2018-02501 and PICT 2019-00018. All the authors were partially supported by Junta de Andalucía UMA18-FEDERJA-002.   //   Funding for open access charge: Universidad de Málaga.
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 20 ene 2026