与薛定谔算子相关的乘积H^p空间的原子刻画与Littlewood-Paley刻画等价性
Equivalence of the Atomic Characterization and the Littlewood-Paley Characterization of Hardy Spaces H^P Associated to Schr?dinger Operators on Product Spaces
摘要
给出与薛定谔算子相联系的乘积H_L^P(R^n×R^n)(n/(n+1)<p≤1)的原子刻画Littlewood-Paley的Poisson核面积函数刻画和高斯核的面积函数刻画.
The atomic decomposition and the area function characterization of the Poisson kernel and the Gaussian kernel of the HL^P(R^n×R^n)(n/(n+1)〈p≤1)associated to Schrodinger operator were shown.
出处
《汕头大学学报(自然科学版)》
2016年第1期13-23,共11页
Journal of Shantou University:Natural Science Edition
参考文献11
-
1CHANG D G,KRANTZ S G,STEIN E M.HP theory on a smooth domain in RN and elliptic boundary value problems[J].Journal Function Analysis,1993,114(2):286-347.
-
2CHANG D G.The dual of Hardy spaces on a bounded domain in Rn[J].Forum Mathematics,1994,6(6):65-81.
-
3CHANG D G,DAGI G,SADOSKY C.A div-curl lemma in BMO on a domain,Harmonic analysis,signal processing,and complexity[J].Progr Mathematics,2005,238:55-65.
-
4DZINBANSKI J,ZIENKIEWICZ J.Hardy spaces H1for Schrdinger operators with certain potentials[J].Studia Mathematics,2004,164(1):39-53.
-
5DZINBANSKI J,ZIENKIEWICZ J.Hardy spaces H1for Schrdinger operators with potential satisfying reverse hlder inequality[J].Review Mathematics Iberoamericana,1999,15(2):279-296.
-
6DENG D G,SONG L,TAN C Q.Duality of hardy and BMO spaces associated with operators with heat kernel bounds on product domains[J].Journal of Geometric Analysis,2007,17(3):455-483.
-
7SONG L,TAN C Q.Hardy spaces associated to Schrodinger operators on product spaces[J].Journal of Function Spaces and Applications,2012,2012:1-18.
-
8HOFMANN S,LU G Z,YAN L X,et al.Hardy spaces associated to non-negative self-adjoint operators satisfying Davies-Gaffney estimates[EB/OL].[2015-04-28]http://www.math.missouri.edu/-hofmann/papers/HLMMY_final.pdf.
-
9FEFFERMAN R.Harmonic analysis on product spaces[J].Annals of Mathematics,1987,126(1):109-130.
-
10JOURNE J L.A covering lemma for product spaces[J].Proceedings of the American Mathematical Society,1986,96(4):593-598.
-
1周淑娟,刘素英.线性算子在各向异性加权Herz型Hardy空间上的有界性[J].山东大学学报(理学版),2014,49(4):74-78.
-
2Eleutherius Symeonidis.双曲形内域的Poisson积分(英文)[J].南京大学学报(数学半年刊),2010,27(2):242-247.
-
3李兴民.关于加权的帐篷空间[J].Chinese Quarterly Journal of Mathematics,1992,7(2):78-83.
-
4石冶郝.h-Poisson核的估计[J].首都师范大学学报(社会科学版),2002(S2):115-117.
-
5胡伟.帐篷空间上的K泛函[J].杭州电子工业学院学报,1989,9(2):31-38.
-
6范兴亚,李宝德.各向异性的Musielak-Orlicz型帐篷空间及其应用(英文)[J].数学进展,2016,45(2):233-251. 被引量:4
-
7王振,赵凯.Calderón-Zygmund算子交换子在Herz型Hardy空间上的加权有界性[J].青岛大学学报(自然科学版),2007,20(4):22-25.
-
8谭超强.与微分算子相联系的Hardy空间g函数刻画[J].汕头大学学报(自然科学版),2009,24(3):22-27.
-
9袁传宥.在几个典型域上Poisson核的一个边界性质[J].北京轻工业学院学报,1993,11(1):85-94.
-
10谭超强,陈波.与算子相联系的BMO空间的分子分解[J].重庆交通大学学报(自然科学版),2010,29(5):837-840.