Sharp Bounds for the Generalized Hardy Operators

2011/06/02 by Zhao, Fayou, Fu, Zunwei, Lu, Shanzhen
#47A30 #47A63 #47H60 #FOS: Mathematics #Functional Analysis (math.FA) #Primary 47G10 #Secondary 26D15

paper · doi:10.48550/arxiv.1106.0455

Abstract

We get the sharp bound for weak type (1,1) inequality for n-dimensional Hardy operator. Moreover, the precise norms of generalized Hardy operators on the type of Campanato spaces are obtained. As applications, the corresponding norms of the Riemann-Liouville integral operator and n-dimensional Hardy operator are deduced.

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