ON THE MIXED RADIAL-ANGULAR INTEGRABILITY OF MARCINKIEWICZ INTEGRALS WITH ROUGH KERNELS

• 作 者: Ronghui LIU Feng LIU Huoxiong WU
• 机 构: School of Mathematical Sciences, Xiamen University, Xiamen 361005, China;College of Mathematics and
• 出 处: 数学物理学报（英文版）
• 发表日期: 2021年1期
• 关键词: Marcinkiewicz integrals rough kernels mixed radial-angular spaces

This paper studies the mixed radial-angular integrability of parametric Marcinki-ewicz integrals along“polynomial curves”.Under the assumption that the kernels satisfy certain rather weak size conditions on the unit sphere with radial roughness,the authors prove that such operators are bounded on the mixed radial-angular spaces.Meanwhile,corresponding vector-valued versions are also obtained.