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Sharp Bounds for the Generalized Hardy Operators

Functional Analysis 2021-11-09 v2

Abstract

We get the sharp bound for weak type (1,1)(1,1) inequality for nn-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 nn-dimensional Hardy operator are deduced.

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Cite

@article{arxiv.1106.0455,
  title  = {Sharp Bounds for the Generalized Hardy Operators},
  author = {Fayou Zhao and Zunwei Fu and Shanzhen Lu},
  journal= {arXiv preprint arXiv:1106.0455},
  year   = {2021}
}

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