Hardy and Hardy-Littlewood fractional modified operators in the Hertz and Morrey-Hertz spaces


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Authors

  • S.S. Volosivets Saratov State University
  • B.I. Golubov Moscow Institute of Physics and Technology (State University)

Keywords:

modified Hardy and Hardy-Littlewood operators, commutator, modified Hertz space, CMOq space

Abstract

We consider the conditions for boundedness of the modified fractional Hardy and Hardy-Littlewood operators
and their commutators acting from one function space of bounded central oscillation to an other. The sharpness of the result
associated to commutators of the fractional Hardy-Littlewood operators is established.

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Published

2018-06-30

How to Cite

Volosivets С., & Golubov Б. (2018). Hardy and Hardy-Littlewood fractional modified operators in the Hertz and Morrey-Hertz spaces. Bulletin of L.N. Gumilyov Eurasian National University. Mathematics, Computer Science, Mechanics Series, 123(2), 66–70. Retrieved from https://bulmathmc.enu.kz/index.php/main/article/view/23

Issue

Vol. 123 No. 2 (2018)

Section

Статьи