Two-weight norm inequalities for product fractional integral operators
Two-weight norm inequalities for product fractional integral operators
复制标题
DOI：
10.1016/j.bulsci.2020.102940
复制
发表时间：
2020-12
影响因子：
1.3
通讯作者：
Hitoshi Tanaka
中科院分区：
文献类型：
--
作者：
Hitoshi Tanaka
在开域1< p< q<∞中，在一定的权几何条件下，证明了核在每个坐标子空间上出现奇异性的乘积分数次积分算子的双权范数不等式是由乘积立方的Festhiman-Phong型特征所导出的.这个几何条件是乘积并元立方体的Carleson型嵌入的检验条件。
In the open range 1< p< q<∞, under a certain geometrical condition on weights, two-weight norm inequality for the product fractional integral operator, whose kernel has singularity appeared on each of the coordinate subspaces, is shown to follow from the Fefferman–Phong-type characteristic for the product cubes. This geometrical condition turns out to be the testing condition of Carleson-type embedding for product dyadic cubes.