PUB – Publications at Bielefeld University (Bielefeld University) · 2009 · 97 citations · 23 references
Function Space XGeneralized FunctionHardy-littlewood Maximal OperatorLimiting CasesFunction TheoryFunctional AnalysisOrlicz-musielak SpacesThe Exponent
In this paper we study the Hardy-Littlewood maximal operator in variable ex- ponent spaces when the exponent is not assumed to be bounded away from 1 and 1. Within the framework of Orlicz-Musielak spaces, we characterize the function space X with the property that Mf 2 L p(¢) if and only if f 2 X, under the assumptions that p is log-Holder continuous and 1 6 p i 6 p + 6 1.
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Maximal function on generalized Lebesgue spaces L^p(⋅)
Lars Diening · Mathematical Inequalities & Applications · 2004 · 549 citations · Full text
The boundedness of classical operators on variable L-p spaces
David Cruz-Uribe, Alberto Fıorenza, José María Martell et al. · 2006 · 391 citations