【摘要】：本文借助于帶變量核參數(shù)型Marcinkiewicz積分算子的加權Lp有界性,利用經(jīng)典的不等式估計以及加權Campanato空間的性質(zhì),證明了其在加權Cam-panato空間的有界性,作為Campanato空間的一個特例,得到了其在加權BMO(Rn)空間的有界性.本文還借助于與高階Schrodinger算子相關的Riesz變換H21/2V及其交換子[b,H2-1/2V]的Lp有界性,其中b ∈ BMO.利用經(jīng)典的不等式估計以及Campanato空間上的性質(zhì),證明了其在Campanato空間上的有界性.作為Campanato空間的一個特例,還得到了其在加權BMO(Rn)空間的有界性.
[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，

本文編號：2210014