<?xml version="1.0" encoding="UTF-8"?><?xml-stylesheet type="text/xsl" href="static/style.xsl"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-06-07T07:41:23Z</responseDate><request verb="GetRecord" identifier="oai:riuma.uma.es:10630/26396" metadataPrefix="qdc">https://riuma.uma.es/rest/oai/request</request><GetRecord><record><header><identifier>oai:riuma.uma.es:10630/26396</identifier><datestamp>2026-02-03T10:57:16Z</datestamp><setSpec>com_10630_2254</setSpec><setSpec>col_10630_37953</setSpec></header><metadata><qdc:qualifieddc xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:doc="http://www.lyncode.com/xoai" xmlns:qdc="http://dspace.org/qualifieddc/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://purl.org/dc/elements/1.1/ http://dublincore.org/schemas/xmls/qdc/2006/01/06/dc.xsd http://purl.org/dc/terms/ http://dublincore.org/schemas/xmls/qdc/2006/01/06/dcterms.xsd http://dspace.org/qualifieddc/ http://www.ukoln.ac.uk/metadata/dcmi/xmlschema/qualifieddc.xsd">
   <dc:title>One-sided Cp estimates via M# function.</dc:title>
   <dc:creator>Lorente-Domínguez, María</dc:creator>
   <dc:creator>Martín-Reyes, Francisco Javier</dc:creator>
   <dc:creator>Rivera Ríos, Israel P.</dc:creator>
   <dc:subject>Sistemas lineales</dc:subject>
   <dcterms:abstract>We recall that w ∈ C+p if there exist " > 0 and C > 0 such that for any a &lt; b &lt; c with c − b &lt; b − a and any measurable set E ⊂ (a, b), the following holds.&#xd;
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&lt;p&lt;q&lt;∞ if w∈C+q then&#xd;
∥M+f∥Lp(w)≲∥M♯,+f∥Lp(w)&#xd;
and conversely if such an inequality holds, then w∈C+p.</dcterms:abstract>
   <dcterms:dateAccepted>2023-04-24T12:56:01Z</dcterms:dateAccepted>
   <dcterms:available>2023-04-24T12:56:01Z</dcterms:available>
   <dcterms:created>2023-04-24T12:56:01Z</dcterms:created>
   <dcterms:issued>2022-07-04</dcterms:issued>
   <dc:type>journal article</dc:type>
   <dc:identifier>Lorente, M., Martin-Reyes, F. J., &amp; Rivera-Rios, I. P. (2022). One-sided Cp estimates via M-# function. Proceedings of the Royal Society of Edinburgh. Section A-Mathematics.</dc:identifier>
   <dc:identifier>https://hdl.handle.net/10630/26396</dc:identifier>
   <dc:identifier>https://doi.org/10.48550/arXiv.2207.01355</dc:identifier>
   <dc:language>eng</dc:language>
   <dc:rights>http://creativecommons.org/licenses/by/4.0/</dc:rights>
   <dc:rights>open access</dc:rights>
   <dc:rights>Atribución 4.0 Internacional</dc:rights>
   <dc:publisher>Cambridge</dc:publisher>
</qdc:qualifieddc>
</metadata></record></GetRecord></OAI-PMH>