Article
A New Approach For Weighted Hardy’s Operator In VELS
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Abstract
A considerable number of research has been carried out on the generalized Lebesgue spaces Lp(x) and boundedness of different integral operators therein. In this study, a new approach for weighted increasing near the origin and decreasing near infinity exponent function that provides a boundedness of the Hardy’s operator in variable exponent space is given.
Keywords
Hardy inequality, Variable exponent, Boundedness, 42A05, 42B35, 26D10
Citation
Akin, L. & Dusunceli, F. (2019). A new approach for weighted hardy’s operator in VELS. Applied Mathematics and Nonlinear Sciences, 4(2), 417–432. https://doi.org/10.2478/AMNS.2019.2.00040
L. Akin and F. Dusunceli, “A new approach for weighted hardy’s operator in VELS,” Applied Mathematics and Nonlinear Sciences, vol. 4, no. 2, pp. 417–432, 2019, doi: 10.2478/AMNS.2019.2.00040.
Akin L, Dusunceli F. A new approach for weighted hardy’s operator in VELS. Applied Mathematics and Nonlinear Sciences. 2019;4(2):417–432. doi:10.2478/AMNS.2019.2.00040.
Akin, L. and Dusunceli, F. (2019), ‘A new approach for weighted hardy’s operator in VELS’, Applied Mathematics and Nonlinear Sciences, 4(2), pp. 417–432. Available at: https://doi.org/10.2478/AMNS.2019.2.00040.
Akin, Lutfi, and Faruk Dusunceli. “A New Approach for Weighted Hardy’s Operator in VELS.” Applied Mathematics and Nonlinear Sciences, vol. 4, no. 2, 2019, pp. 417–432. https://doi.org/10.2478/AMNS.2019.2.00040.
Akin, Lutfi, and Faruk Dusunceli. “A New Approach for Weighted Hardy’s Operator in VELS.” Applied Mathematics and Nonlinear Sciences 4, no. 2 (2019): 417–432. https://doi.org/10.2478/AMNS.2019.2.00040.
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Published by: Engineering Journals


