ON BOUNDEDNESS OF HARDY-LITTLEWOOD MAXIMAL FUNCTION OPERATOR ON RIEMANNIAN MANIFOLDS
Citation:
Chen Jiecheng,Wang Silei.ON BOUNDEDNESS OF HARDY-LITTLEWOOD MAXIMAL FUNCTION OPERATOR ON RIEMANNIAN MANIFOLDS[J].Chinese Annals of Mathematics B,1993,14(1):69~76
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Authors:
Chen Jiecheng; Wang Silei
Abstract:
The authors construct a complete Riemannian manifold such that its Hardy-Littlewood maximal function operator is unbounded in $L^p$ for some p > 1.