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Yıl 2019, Cilt: 2 Sayı: 1, 37 - 40, 30.10.2019

Lütfi Akın

Öz

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.
  • [9] V. Guliyev, J. Hasanov, S. Samko, Boundedness of the maximal, potential and singular operators in the generalized variable exponent Morrey spaces, Math. Scand. 107 (2010), 285-304.
  • [10] Y. Mizuta, T. Shimomura, Sobolev embeddings for Riesz potentials of functions in Morrey spaces of variable exponent, J. Math. Soc. Jpn. 60(2008), 583-602.
  • [11] Y. Sawano, S. Sugano, H. Tanaka, Orlicz-Morrey spaces and fractional operators, Potential Anal. 36 (2012), 517-556.

Weak Type Estimates Of Hardy Integral Operators On Morrey Spaces With Variable Exponent Lebesgue spaces

Yıl 2019, Cilt: 2 Sayı: 1, 37 - 40, 30.10.2019

Lütfi Akın

Öz

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.

Anahtar Kelimeler

Hardy integral operator Morrey spaces Weak Morrey spaces Variable exponent

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.
  • [9] V. Guliyev, J. Hasanov, S. Samko, Boundedness of the maximal, potential and singular operators in the generalized variable exponent Morrey spaces, Math. Scand. 107 (2010), 285-304.
  • [10] Y. Mizuta, T. Shimomura, Sobolev embeddings for Riesz potentials of functions in Morrey spaces of variable exponent, J. Math. Soc. Jpn. 60(2008), 583-602.
  • [11] Y. Sawano, S. Sugano, H. Tanaka, Orlicz-Morrey spaces and fractional operators, Potential Anal. 36 (2012), 517-556.
Toplam 11 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Articles
Yazarlar

Lütfi Akın 0000-0002-5653-9393

Yayımlanma Tarihi 30 Ekim 2019
Kabul Tarihi 1 Ekim 2019
Yayımlandığı Sayı Yıl 2019 Cilt: 2 Sayı: 1

Kaynak Göster

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.
AMA Akın L. Weak Type Estimates Of Hardy Integral Operators On Morrey Spaces With Variable Exponent Lebesgue spaces. Conference Proceedings of Science and Technology. Ekim 2019;2(1):37-40.
Chicago Akın, Lütfi. “Weak Type Estimates Of Hardy Integral Operators On Morrey Spaces With Variable Exponent Lebesgue Spaces”. Conference Proceedings of Science and Technology 2, sy. 1 (Ekim 2019): 37-40.
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 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, 2019.
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 (Ekim 2019), 37-40.
JAMA 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, 2019, ss. 37-40.
Vancouver 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.
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