奇异积分算子在Campanato空间的有界性
发布时间：2018-08-28 17:02
【摘要】：本文借助于带变量核参数型Marcinkiewicz积分算子的加权Lp有界性,利用经典的不等式估计以及加权Campanato空间的性质,证明了其在加权Cam-panato空间的有界性,作为Campanato空间的一个特例,得到了其在加权BMO(Rn)空间的有界性.本文还借助于与高阶Schrodinger算子相关的Riesz变换H21/2V及其交换子[b,H2-1/2V]的Lp有界性,其中b ∈ BMO.利用经典的不等式估计以及Campanato空间上的性质,证明了其在Campanato空间上的有界性.作为Campanato空间的一个特例,还得到了其在加权BMO(Rn)空间的有界性.
[Abstract]:In this paper, by means of the weighted Lp boundedness of the Marcinkiewicz integral operator with variable kernel parameter, by using the classical inequality estimate and the property of the weighted Campanato space, we prove its boundedness in the weighted Cam-panato space as a special case of the Campanato space. We obtain its boundedness in weighted BMO (Rn) spaces. In this paper, the Lp boundedness of Riesz transform H21 / 2V and its commutator [BX H2-1 / 2V] is also obtained by means of the Riesz transformation H21 / 2V, which is related to higher order Schrodinger operators, where b 鈭，
本文编号：2210014
[Abstract]:In this paper, by means of the weighted Lp boundedness of the Marcinkiewicz integral operator with variable kernel parameter, by using the classical inequality estimate and the property of the weighted Campanato space, we prove its boundedness in the weighted Cam-panato space as a special case of the Campanato space. We obtain its boundedness in weighted BMO (Rn) spaces. In this paper, the Lp boundedness of Riesz transform H21 / 2V and its commutator [BX H2-1 / 2V] is also obtained by means of the Riesz transformation H21 / 2V, which is related to higher order Schrodinger operators, where b 鈭，
本文编号：2210014
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