Untersuchungen zum verhalten des Hardy-Littlewood-Maximaloperators
Untersuchungen zum verhalten des Hardy-Littlewood-Maximaloperators
In this paper we investigate the behavior of the Hardy-Littlewood Maximal Operator. It is well known that for absolutely integrable functions the Hardy-Littlewood Maximal Operator is finite almost everywhere. In this paper it is shown that for each set $E \subset [-\pi,\pi)$ with Lebesgue measure zero there exists a function …