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

Author:

Ekincioglu Ismail1,Guliyev Vagif S.12,Kaya Esra1

Affiliation:

1. Department of Mathematics , Dumlupinar University , 43100 , Kutahya , Turkey

2. Institute of Mathematics and Mechanics of NAS of Azerbaijan , AZ1141 , Baku , Azerbaijan

Abstract

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 Δ Bn on variable exponent Lebesgue spaces.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Reference29 articles.

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3. Russian Acad. Sci. Sb. Math. 77 (1994), 37-55 (in English).

4. Cruz-Uribe, D.—Fiorenza, A.: Variable Lebesgue Spaces. Foundations and Harmonic Analysis, Birkhäuser, 2013.

5. Cruz-Uribe, D.—Fiorenza, A.—Martell, J.—Pérez, C.: The boundedness of classical operators on variable Lp spaces, Ann. Acad. Sci. Fenn. Math. 31 (2006), 239–264.

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