Authors
Petteri Harjulehto, Peter Hästö, Mikko Pere
Publication date
2004/1/1
Volume
30
Issue
1
Pages
87-104
Description
In this article we introduce variable exponent Lebesgue spaces on metric measure spaces and consider a central tool in geometric analysis: the Hardy-Littlewood maximal operator. We show that the maximal operator is bounded provided the variable exponent satisfies a -H\"older type estimate. This condition is known to be essentially sharp in real Euclidean space, however, we show that this is not so in metric spaces.
Total citations
Scholar articles
P Harjulehto, P Hästö, M Pere - 2004