摘要
Let ? be full Laplacian on H-type group G. Then for every compact set D ■ G,a local estimate of the Schr¨odinger maximal operator holds, that is, ∫_(D)sup |e^(it?)f(x)|~2dx ■||f ||_(H^s)~2, s >1/2.We also show that the above inequality fails when s < 1/4.
Let △ be full Laplacian on H-type group G. Then for every compact set D Ga local estimate of the Schrodinger maximal operator holds, that is,∫D^sup0〈t〈1｜e^it△f（x）｜^2dx≤｜｜f｜｜^2H^s,s〉1/2We also show that the above inequality fails when s 〈 1/4.
基金
supported by National Nature Science Foundation of China(11371036)
