Endpoint estimates for n-dimensional Hardy operators and their commutators

• Published in: Science China. Mathematics Vol. 55; no. 10; pp. 1977 - 1990
• Main Authors: Zhao, FaYou, Fu, ZunWei, Lu, ShanZhen
• Format: Journal Article
• Language: English
• Published: Heidelberg SP Science China Press 01.10.2012
• Subjects: Applications of Mathematics; Campanato空间; China; Commutators; Estimates; Hardy空间; Hardy算子; Inequalities; Lebesgue空间; Mathematical analysis; Mathematics; Mathematics and Statistics; Norms; Operators; 换向器; 端点估计; 运营商; generalized Hardy operator; commutator; 47B38; 26D10; Campanato space; sharp bound; 26D15; Hardy space

In this paper, the sharp bound for the weak-type （1, 1） inequality for the n-dimensional Hardy operator is obtained. Moreover, the precise norms of generalized Hardy operators on the type of Campanato spaces are worked out. As applications, the corresponding norms of the Riemann-Liouville integral o...