A Characterization of Homogeneous Fractional Hardy-Type Integrals on Variable Exponent Spaces

Öz

In this study, we establish boundedness of homogeneous fractional Hardy-type integral on variable exponent spaces.

Anahtar Kelimeler

• Variable exponent Lebesgue space,Fractional Hardy-Type integral,Boundedness

Kaynakça

1. [1] D. Cruz-Uribe, SFO, A. Fiorenza, J. Martell, C. Prez, The boundedness of classical operators on variable Lp spaces, Ann. Acad. Sci. Fenn. Math. 31(2006), 239-264.
2. [2] F. Mamedov, Y. Zeren, L. Akin, Compactification of Weighted Hardy Operator in Variable Exponent Lebesgues Spaces, Asian Journal of Mathematics and Computer Research, 17(1) (2017), 38-47.
3. [3] L. Akin, A Characterization of Approximation of Hardy Operators in VLS , Celal Bayar University Journal of Science, 3(14)(2018), 333-336.
4. [4] L. Akin, Compactness of Fractional Maximal Operator in Weighted and Variable Exponent Spaces, Erzincan University, Journal of Science and Technology,12(1) (2019), 185-190.
5. [5] L. Akin,On Two Weight Criterions for The Hardy Littlewood Maximal Operator in BFS, Asian Journal of Science and Technology, 9(5) (2018), 8085-8089.
6. [6] M. Christ, L. Grafakos, Best constants for two non-convolution inequalities, Proc.Amer. Math. Soc. 123(6) (1995), 1687-1693.
7. [7] S. Lu, Y. Ding, D. Yan, Singular integrals and related topics, World Scientific Press, 2011.
8. [8] Z. Fu, Z.Liu, S. Lu, M. Wang, Characterization for commutators of n-dimensional fractional Hardy operators, Sci. China Ser. 50(10) (2007), 1418-1426.