加权变指标极大Herz型空间的对偶空间  

Duality of weighted grand Herz spaces with variable exponents

作　　者：周梦 王英杰 汤灿琴 ZHOU Meng;WANG Yingjie;TANG Canqin(School of Science,Dalian Maritime University,Dalian,Liaoning 116026,China)

机构地区：[1]大连海事大学理学院,辽宁大连116026

出　　处：《石河子大学学报（自然科学版）》2023年第6期785-792,共8页Journal of Shihezi University(Natural Science)

基　　金：国家自然科学基金项目(11971402)。

摘　　要：变指数函数空间因其在非标准增长条件的方程应用领域的重要作用而受人关注。本文通过嵌入性质,log-Holder连续性及变指标权函数的相关引理等工具,研究了加权变指标极大Herz空间的对偶性,以及一类次线性算子在此空间上的有界性。Function space with variable exponents is widely concerned because of its important applications in equations with non-standard growth conditions.In this paper,by the use of space embedding,log-Holder continuity of variable exponent and some related properties of variable weight function,the authors obtain the duality of the weighted grand Herz spaces with variable exponents.Furthermore,the boundedness of some sublinear operators in these spaces is also considered.

关 键 词：加权极大Herz空间 变指标 对偶性 次线性算子 

分 类 号：O177[理学—数学]