p-进中心函数空间及奇异积分算子  

p-Adic Central Function Spaces and Singular Integral Operators

作　　者：吴清艳[1] 陆善镇[2] 傅尊伟[1] WU Qingyan LU Shanzhen FU Zunwei(Department of Mathematics, Linyi University, Linyi 276005, Shandong, China School of Mathematical Sciences, Beijing Normal University, Beijing 100875,China)

机构地区：[1]临沂大学数学系,山东临沂276005 [2]北京师范大学数学科学学院,北京100875

出　　处：《数学年刊（A辑）》2017年第1期73-90,共18页Chinese Annals of Mathematics

基　　金：国家自然科学基金(No.11271175;No.11301248;No.11671185)的资助

摘　　要：引入了几类p-中心函数空间,包括p进A^q和B^q空间、p进λ-中心BMO空间以及p-进中心Morrey空间,得到了p-进A^q空间与B^q空间的对偶性、p-进λ-中心BMO空间和中心Morrey空间的特征,研究了这些空间与加权p-进Lebesgue空间之间的关系.另外,还建立了一类奇异积分算子在p-进中心Morrey空间中的有界性,更进一步,得到了这类算子交换子在p-进中心Morrey空间中的λ-中心BMO估计.In this paper, the authors introduce several p-adic central function spaces in- cluding p-adic Aq and Bq spaces, p-adic λ-central BMO spaces and p-adic central Morrey spaces. The authors get the duality of p-adic Aq and Bq spaces, the characterization of p-adic λ-central BMO spaces and central Morrey spaces, and study the relationship among these spaces and p-adic Lebesgue spaces with weights. In addition, the authors establish the boundedness of a class of singular integral operators on p-adic central Morrey spaces. Moreover, the λ-central BMO estimates for commutators of these singular integral operators on p-adic central Morrey spaces are obtained.

关 键 词：p进 λ-中心BMO空间 p-进中心Morrey空间 奇异积分算子 

分 类 号：O177.6[理学—数学]