内蕴平方函数在加权变指数Herz-Morrey空间上的有界性

Boundedness of intrinsic square functions on weighted Herz-Morrey spaces with variable exponent

摘要: 定义了一类加权的变指数Herz-Morrey空间,利用内蕴平方函数在加权变指数Lebesgue空间上的有界性,并运用调和分析中的实变理论,变指数空间的性质,以及不等式的估计,证明了内蕴平方函数在加权的变指数Herz-Morrey空间上的有界性.

Abstract: The weighted Herz-Morrey spaces with variable exponent are introduced.By using the boundedness of intrinsic square functions on weighted Lebesgue spaces with variable exponent,and applying the real variable theory of harmonic analysis,the properties of variable exponent spaces,as well as the estimate of inequalities,the boundedness of intrinsic square function on weighted Herz-Morrey spaces with variable exponent is proved.