The one-sided Ap conditions and local maximal operator.

Autor: Bernardis, Ana L., Gogatishvili, Amiran, Martín-Reyes, Francisco Javier, Salvador, Pedro Ortega, Pick, Luboš
Předmět:
Zdroj: Proceedings of the Edinburgh Mathematical Society; Feb2012, Vol. 55 Issue 1, p79-104, 26p
Abstrakt: 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. [ABSTRACT FROM PUBLISHER]
Databáze: Complementary Index