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The one-sided Ap conditions and local maximal operator
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SYSNO ASEP 0368298 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title The one-sided Ap conditions and local maximal operator Author(s) Bernardis, A.L. (AR)
Gogatishvili, Amiran (MU-W) RID, ORCID, SAI
Martin-Reyes, F. J. (ES)
Ortega Salvador, P. (ES)
Pick, L. (CZ)Source Title Proceedings of the Edinburgh Mathematical Society - ISSN 0013-0915
Roč. 55, č. 1 (2012), s. 79-104Number of pages 26 s. Language eng - English Country GB - United Kingdom Keywords one-sided Ap conditions ; one-sided local maximal operator ; quasi-Banach function spaces ; variable-exponent Lebesgue spaces Subject RIV BA - General Mathematics R&D Projects GA201/08/0383 GA ČR - Czech Science Foundation (CSF) GA201/05/2033 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000299661500005 EID SCOPUS 84858806421 DOI 10.1017/S0013091510000635 Annotation We introduce the one-sided local maximal operator and study its connection to the one-sided Ap conditions. We get a new characterization of the boundedness of the one-sided maximal operator on a quasi-Banach function space. We obtain applications to weighted Lebesgue spaces and variable-exponent Lebesgue spaces. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2012
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