We prove weighted strong and weak-type norm inequalities for the Hardy–Littlewood maximal operator on the variable Lebesgue space Lp(·). Our results generalize both the classical weighted norm inequalities on Lp and the more recent results on the boundedness of the maximal operator on variable Lebesgue spaces.
Weighted norm inequalities for the maximal operator on variable Lebesgue spaces / D., CRUZ URIBE; Fiorenza, Alberto; C. J., Neugebauer. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - 394:2(2012), pp. 744-760. [10.1016/j.jmaa.2012.04.044]
Weighted norm inequalities for the maximal operator on variable Lebesgue spaces
FIORENZA, ALBERTO;
2012
Abstract
We prove weighted strong and weak-type norm inequalities for the Hardy–Littlewood maximal operator on the variable Lebesgue space Lp(·). Our results generalize both the classical weighted norm inequalities on Lp and the more recent results on the boundedness of the maximal operator on variable Lebesgue spaces.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
