摘要
定义了新的加权Hardy-Littlewood算子,建立了该算子的范数不等式和非共轭参数的Hardy-Littlewood不等式的加权形式,并且分别用不同的方法得到了共轭参数和非共轭参数情形下的最佳常数.相应的级数形式也得到了类似的结果.
This paper introduce the new weighted Hardy-Littlewood operator.The weighted form of Hardy—Littlewood inequalities with nonconjugate parameters are established.Further,the best possible constants are obtained for the conjugate parameters and nonconjugate parameters by different methods,respectively.The corresponding series form are also given.
