EN
Weak Type Estimates Of Hardy Integral Operators On Morrey Spaces With Variable Exponent Lebesgue spaces
Abstract
We show that when the infimum of the exponent function, Hardy integral operator is a bounded operator from the Morrey space with variable exponent to the weak Morrey space with variable exponent.
Keywords
References
- [1] C. Capone, D. Cruz-Uribe, A. Fiorenza, The fractional maximal operator and fractional integrals on variable Lp spaces. Rev. Mat. Iberoam. 23 (2007), 743-770.
- [2] D. Cruz-Uribe, A. Fiorenza,Variable Lebesgue Spaces. Birkhuser, Basel, 2013.
- [3] E. Nakai, Hardy-Littlewood maximal operator, singular integral operators and the Riesz potentials on generalized Morrey spaces. Math. Nachr. 166 (1994), 95-104.
- [4] K.P. Ho, Atomic decompositions and Hardy’s inequality on weak Hardy-Morrey spaces,Sci. China Math.60 (2017), 449-468.
- [5] K.P. Ho, Weak Type Estimates of the Fractional Integral Operators on Morrey Spaces with Variable Exponents, Acta Appl Math. 159 (2019), 1-10
- [6] K.P. Ho, The fractional integral operators on Morrey spaces with variable exponent on unbounded domains, Math. Inequal. Appl. 16(2013), 363-373.
- [7] L. Ferreira, On a bilinear estimate in weak-Morrey spaces and uniqueness for Navier-Stokes equations, J. Math. Pures Appl. 9(105) (2016), 228-247.
- [8] L. Diening, P. Harjulehto, P. Hasto, M. Ruzicka, Lebesgue and Sobolev Spaces with Variable Exponent, Lecture Notes in Mathematics, 2017 (2011), Springer.
Details
Primary Language
English
Subjects
Engineering
Journal Section
Conference Paper
Authors
Lütfi Akın
*
0000-0002-5653-9393
Türkiye
Publication Date
October 30, 2019
Submission Date
June 28, 2019
Acceptance Date
October 1, 2019
Published in Issue
Year 1970 Volume: 2 Number: 1
APA
Akın, L. (2019). Weak Type Estimates Of Hardy Integral Operators On Morrey Spaces With Variable Exponent Lebesgue spaces. Conference Proceedings of Science and Technology, 2(1), 37-40. https://izlik.org/JA62UW26KX
AMA
1.Akın L. Weak Type Estimates Of Hardy Integral Operators On Morrey Spaces With Variable Exponent Lebesgue spaces. Conference Proceedings of Science and Technology. 2019;2(1):37-40. https://izlik.org/JA62UW26KX
Chicago
Akın, Lütfi. 2019. “Weak Type Estimates Of Hardy Integral Operators On Morrey Spaces With Variable Exponent Lebesgue Spaces”. Conference Proceedings of Science and Technology 2 (1): 37-40. https://izlik.org/JA62UW26KX.
EndNote
Akın L (October 1, 2019) Weak Type Estimates Of Hardy Integral Operators On Morrey Spaces With Variable Exponent Lebesgue spaces. Conference Proceedings of Science and Technology 2 1 37–40.
IEEE
[1]L. Akın, “Weak Type Estimates Of Hardy Integral Operators On Morrey Spaces With Variable Exponent Lebesgue spaces”, Conference Proceedings of Science and Technology, vol. 2, no. 1, pp. 37–40, Oct. 2019, [Online]. Available: https://izlik.org/JA62UW26KX
ISNAD
Akın, Lütfi. “Weak Type Estimates Of Hardy Integral Operators On Morrey Spaces With Variable Exponent Lebesgue Spaces”. Conference Proceedings of Science and Technology 2/1 (October 1, 2019): 37-40. https://izlik.org/JA62UW26KX.
JAMA
1.Akın L. Weak Type Estimates Of Hardy Integral Operators On Morrey Spaces With Variable Exponent Lebesgue spaces. Conference Proceedings of Science and Technology. 2019;2:37–40.
MLA
Akın, Lütfi. “Weak Type Estimates Of Hardy Integral Operators On Morrey Spaces With Variable Exponent Lebesgue Spaces”. Conference Proceedings of Science and Technology, vol. 2, no. 1, Oct. 2019, pp. 37-40, https://izlik.org/JA62UW26KX.
Vancouver
1.Lütfi Akın. Weak Type Estimates Of Hardy Integral Operators On Morrey Spaces With Variable Exponent Lebesgue spaces. Conference Proceedings of Science and Technology [Internet]. 2019 Oct. 1;2(1):37-40. Available from: https://izlik.org/JA62UW26KX