The one-sided Ap conditions and local maximal operator

0368298 - MÚ 2012 RIV GB eng J - Journal Article
Bernardis, A.L. - Gogatishvili, Amiran - Martin-Reyes, F. J. - Ortega Salvador, P. - Pick, L.
The one-sided Ap conditions and local maximal operator.
Proceedings of the Edinburgh Mathematical Society. Roč. 55, č. 1 (2012), s. 79-104. ISSN 0013-0915. E-ISSN 1464-3839
R&D Projects: GA ČR GA201/08/0383; GA ČR GA201/05/2033
Institutional research plan: CEZ:AV0Z10190503
Keywords : one-sided Ap conditions * one-sided local maximal operator * quasi-Banach function spaces * variable-exponent Lebesgue spaces
Subject RIV: BA - General Mathematics
Impact factor: 0.561, year: 2012
http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=8477114&fulltextType=RA&fileId=S0013091510000635

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.
Permanent Link: http://hdl.handle.net/11104/0202682