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Bn-maximal operator and Bn-singular integral operators on variable exponent Lebesgue spaces

  • Ismail Ekincioglu EMAIL logo , Vagif S. Guliyev and Esra Kaya
Published/Copyright: July 24, 2020
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Abstract

In this paper, we prove the boundedness of the Bn maximal operator and Bn singular integral operators associated with the Laplace-Bessel differential operator ΔBn on variable exponent Lebesgue spaces.

  1. (Communicated by Gregor Dolinar)

Acknowledgement

The research of V. Guliyev was partially supported by the Grant of 1st Azerbaijan-Russia Joint Grant Competition (Agreement Number No. EIF-BGM-4-RFTF-1/2017-21/01/1).

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Received: 2019-01-08
Accepted: 2020-01-14
Published Online: 2020-07-24
Published in Print: 2020-08-26

© 2020 Mathematical Institute Slovak Academy of Sciences

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