2002•Journal of Zhejiang University(Sciences Edition)Requires access
On the existence and Lipschitz boundedness of maximal operator on homogeneous spaces.
Yongzhong Sun
Open publisher page 0 citations
Abstract
The existence and Lipschitz boundedness of Hardy-Littlewood maximal function M on space of homogeneous type are discussed. First, an existence result for M in very general form is shown. Then, an easier and more elementary proof of S.Buckley's result is given. Finally, the boundedness of maximal operator for another kind of Lipschitz function on homogeneous spaces is obtained.