Optimal constants for a class of Hausdorff operators on Lebesgue spaces  

作　　者：Xiaomei WU 

机构地区：[1]Xingzhi College,Zhejiang Normal University,Jinhua 321004,China

出　　处：《Frontiers of Mathematics in China》2023年第4期277-285,共9页中国高等学校学术文摘·数学（英文）

摘　　要：As the extension of classical Hardy operator and Cesaro operator,Hausdorff operator plays an important role in the harmonic analysis,so it is significant to discuss the boundedness of this kind of operator on various function spaces.The article explores the boundedness of a kind of Hausdorff operators on Lebesgue spaces and calculates the optimal constants for the operators to be bounded on such spaces.In addition,the paper also obtains the necessary and sufficient for a kind of multilinear Hausdorff operators to be bounded on Lebesgue spaces and their optimal constants.

关 键 词：Hausdorff operators multilinear operators Lebesgue spaces optimal constants 

分 类 号：O17[理学—数学]