Sharp Bounds for the Generalized Hardy Operators

Details Sharp Bounds for the Generalized Hardy Operators Sharp Bounds for the Generalized Hardy Operators

2011-06-02

arxiv.org/abs/1106.0455v1

Mathematics

Functional Analysis

9 pages

Scientific paper

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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