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
Kaynakça
- [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.
Ayrıntılar
Birincil Dil
İngilizce
Konular
Mühendislik
Bölüm
Konferans Bildirisi
Yazarlar
Lütfi Akın
*
0000-0002-5653-9393
Türkiye
Yayımlanma Tarihi
30 Ekim 2019
Gönderilme Tarihi
28 Haziran 2019
Kabul Tarihi
1 Ekim 2019
Yayımlandığı Sayı
Yıl 1970 Cilt: 2 Sayı: 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 (01 Ekim 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, c. 2, sy 1, ss. 37–40, Eki. 2019, [çevrimiçi]. Erişim adresi: 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 (01 Ekim 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, c. 2, sy 1, Ekim 2019, ss. 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]. 01 Ekim 2019;2(1):37-40. Erişim adresi: https://izlik.org/JA62UW26KX