The one-sided Ap conditions and local maximal operator

0368298 - MÚ 2012 RIV GB eng J - Článek v odborném periodiku
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
Grant CEP: GA ČR GA201/08/0383; GA ČR GA201/05/2033
Výzkumný záměr: CEZ:AV0Z10190503
Klíčová slova: one-sided Ap conditions * one-sided local maximal operator * quasi-Banach function spaces * variable-exponent Lebesgue spaces
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 0.561, rok: 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.
Trvalý link: http://hdl.handle.net/11104/0202682