具有Muckenhoupt基的乘积空间上的混合加权不等式（英文）  

WEIGHTED MIXED INEQUALITIES ON PRODUCT SPACES WITH MUCKENHOUPT BASES

作　　者：陈伟[1] 朱春香 张超[2] CHEN Wei;ZHU Chun-xiang;ZHANG Chao(School of Mathematical Sciences,Yangzhou University,Yangzhou 225002,China;School of Statistics and Mathematics,Zhejiang Gongshang University,Hangzhou 310018,China)

机构地区：[1]扬州大学数学科学学院,江苏扬州225002 [2]浙江工商大学统计与数学学院,浙江杭州310018

出　　处：《数学杂志》2018年第6期951-961,共11页Journal of Mathematics

基　　金：supported by the National Natural Science Foundation of China(11771379);the Natural Science Foundation of Jiangsu Province(BK20161326);the School Foundation of Yangzhou University(2016CXJ001);supported by the National Natural Science Foundation of China(11401525);the Natural Science Foundation of Zhejiang Province(LY18A010006)

摘　　要：本文研究了在具有Muckenhoupt基的乘积空间上混合加权问题.利用外插函数族和Minkowski不等式获得了混合加权不等式.根据数学归纳法,可以得到混合加权不等式的一般形式.We study weighted mixed inequalities on product spaces with di?erent Mucken-houpt bases.Our approaches are mainly based on the abstract formalism of families of extrapolation pairs and Minkowski's integral inequality.Moreover,we can deduce the general case of our results by induction.

关 键 词：混合范数Lebesgue空间 Muckenhoupt基 外插 

分 类 号：O174.2[理学—数学]