简介:Let?befullLaplacianonH-typegroupG.ThenforeverycompactsetD■G,alocalestimateoftheSchr¨odingermaximaloperatorholds,thatis,∫_(D)sup|e~(it?)f(x)|~2dx■||f||_(H~s)~2,s>1/2.Wealsoshowthattheaboveinequalityfailswhens<1/4.
LOCAL ESTIMATE ABOUT SCHRODINGER MAXIMAL OPERATOR ON H-TYPE GROUPS