某类次线性算子在加权变指数Herz空间上的有界性

Boundedness of some sublinear operators on weighted Herz spaces with variable exponents

利用加权变指数Herz空间的等价定义,获得了满足某类尺寸条件及L^(p(·))(ω)有界性假设下的次线性算子及次线性分数次积分算子在加权Herz空间K_(p(·),q)^(a(·))(ω)上的有界性。

For some classes of sublinear operators and sublinear fractional integral operators,assume that the operators are bounded on the weighted Lebesgue space with variable exponent and satisfy some size conditions,the boundedness on the weighted Herz space with variable exponent is obtained.