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Russian Mathematics

, Volume 63, Issue 9, pp 12–21 | Cite as

Modified Fractional Hardy and Hardy-Littlewood Operators and Their Commutators

  • S. S. VolosivetsEmail author
  • B. I. GolubovEmail author
Article
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Abstract

For modified fractional Hardy and Hardy-Littlewood operators and their commutators with symbol from a central mean oscillation space, considered as acting from a modified Herz space into another one, we find conditions of their boundedness. The sharpness of the result concerning commutators of the fractional Hardy-Littlewood operator is established.

Key words

modified Hardy and Hardy-Littlewood operators commutator modified Herz space CMOq space 

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Notes

Acknowledgments

The authors express their gratitude to the anonymous referee for helpful remarks which allow to improve the text of the paper.

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Copyright information

© Allerton Press, Inc. 2019

Authors and Affiliations

  1. 1.Saratov State UniversitySaratovRussia
  2. 2.Moscow Institute of Physics and Technology (State University)Moscow region, DolgoprudnyRussia

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