Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2019, Cilt: 48 Sayı: 3, 771 - 778, 15.06.2019

Öz

Kaynakça

  • Y.A. Abramovich and C.D. Aliprantis, An invitation to operator theory, Graduate Studies in Mathematics, 50, American Mathematical Society, Providence, RI, 2002.
  • S.C. Arora, G. Datt, and S. Verma, Multiplication operators on Lorentz spaces, Indian J. Math. 48 (3), 317-329, 2006.
  • F.R. Astudillo-Villalba and J.C. Ramos-Fernández, Multiplication operators on the space of functions of bounded variation, Demonstr. Math. 50 (1), 105-115, 2017.
  • A. Benedek and R. Panzone, The spaces $L^P$, with mixed norm, Duke Math. J. 28, 301-324, 1961.
  • A.P. Blozinski, Multivariate rearrangements and Banach function spaces with mixed norms, Trans. Amer. Math. Soc. 263 (1), 149-167, 1981.
  • R.E. Castillo, H.C. Chaparro, and J.C. Ramos Fernández, Orlicz-Lorentz spaces and their multiplication operators, Hacet. J. Math. Stat. 44 (5), 991-1009, 2015.
  • R.E. Castillo, J.C. Ramos Fernández, and H. Rafeiro, Multiplication operators in variable Lebesgue spaces, Rev. Colombiana Mat. 49 (2), 293-305, 2015.
  • R.E. Castillo, J.C. Ramos Fernández and M. Salas-Brown, The essential norm of multiplication operators on Lorentz sequence spaces, Real Anal. Exchange 41 (1), 245-251, 2016.
  • R.E. Castillo, F.A. Vallejo Narváez and J.C. Ramos Fernández, Multiplication and composition operators on weak $L_p$ spaces, Bull. Malays. Math. Sci. Soc. 38 (3), 927- 973, 2015.
  • H.C. Chaparro, On Multipliers between Bounded Variation Spaces, Ann. Funct. Anal. 9 (3), 376-383, 2018.
  • W. Grey and G. Sinnamon, The inclusion problem for mixed norm spaces, Trans. Amer. Math. Soc. 368 (12), 8715-8736, 2016.
  • P.R. Halmos, What does the spectral theorem say?, Amer. Math. Monthly 70, 241-247, 1963.
  • H. Hudzik, R. Kumar and R. Kumar, Matrix multiplication operators on Banach function spaces, Proc. Indian Acad. Sci. Math. Sci. 116 (1), 71-81, 2006.
  • V. Kolyada and J. Soria, Mixed norms and iterated rearrangements, Z. Anal. Anwend. 35 (2), 119-138, 2016.
  • M. Mursaleen, A. Aghajani and K. Raj, Multiplication operators on Cesàro function spaces, Filomat 30 (5), 1175-1184, 2016.
  • J.C. Ramos-Fernández, Some properties of multiplication operators acting on Banach spaces of measurable functions, Bol. Mat. 23 (2), 221-237, 2016.
  • J.C. Ramos-Fernández and M. Salas-Brown, On multiplication operators acting on Köthe sequence spaces Afr. Mat. 28 (3-4), 661-667, 2017.
  • H. Takagi and K. Yokouchi, Multiplication and composition operators between two $L^p$-spaces, Function spaces (Edwardsville, IL, 1998), Contemp. Math. 232, Amer. Math. Soc., Providence, RI, 1999, 321-338.

Multiplication operators between mixed norm Lebesgue spaces

Yıl 2019, Cilt: 48 Sayı: 3, 771 - 778, 15.06.2019

Öz

The boundedness, compactness and closed range of the multiplication operator defined on mixed norm Lebesgue spaces are characterized in this paper.

Kaynakça

  • Y.A. Abramovich and C.D. Aliprantis, An invitation to operator theory, Graduate Studies in Mathematics, 50, American Mathematical Society, Providence, RI, 2002.
  • S.C. Arora, G. Datt, and S. Verma, Multiplication operators on Lorentz spaces, Indian J. Math. 48 (3), 317-329, 2006.
  • F.R. Astudillo-Villalba and J.C. Ramos-Fernández, Multiplication operators on the space of functions of bounded variation, Demonstr. Math. 50 (1), 105-115, 2017.
  • A. Benedek and R. Panzone, The spaces $L^P$, with mixed norm, Duke Math. J. 28, 301-324, 1961.
  • A.P. Blozinski, Multivariate rearrangements and Banach function spaces with mixed norms, Trans. Amer. Math. Soc. 263 (1), 149-167, 1981.
  • R.E. Castillo, H.C. Chaparro, and J.C. Ramos Fernández, Orlicz-Lorentz spaces and their multiplication operators, Hacet. J. Math. Stat. 44 (5), 991-1009, 2015.
  • R.E. Castillo, J.C. Ramos Fernández, and H. Rafeiro, Multiplication operators in variable Lebesgue spaces, Rev. Colombiana Mat. 49 (2), 293-305, 2015.
  • R.E. Castillo, J.C. Ramos Fernández and M. Salas-Brown, The essential norm of multiplication operators on Lorentz sequence spaces, Real Anal. Exchange 41 (1), 245-251, 2016.
  • R.E. Castillo, F.A. Vallejo Narváez and J.C. Ramos Fernández, Multiplication and composition operators on weak $L_p$ spaces, Bull. Malays. Math. Sci. Soc. 38 (3), 927- 973, 2015.
  • H.C. Chaparro, On Multipliers between Bounded Variation Spaces, Ann. Funct. Anal. 9 (3), 376-383, 2018.
  • W. Grey and G. Sinnamon, The inclusion problem for mixed norm spaces, Trans. Amer. Math. Soc. 368 (12), 8715-8736, 2016.
  • P.R. Halmos, What does the spectral theorem say?, Amer. Math. Monthly 70, 241-247, 1963.
  • H. Hudzik, R. Kumar and R. Kumar, Matrix multiplication operators on Banach function spaces, Proc. Indian Acad. Sci. Math. Sci. 116 (1), 71-81, 2006.
  • V. Kolyada and J. Soria, Mixed norms and iterated rearrangements, Z. Anal. Anwend. 35 (2), 119-138, 2016.
  • M. Mursaleen, A. Aghajani and K. Raj, Multiplication operators on Cesàro function spaces, Filomat 30 (5), 1175-1184, 2016.
  • J.C. Ramos-Fernández, Some properties of multiplication operators acting on Banach spaces of measurable functions, Bol. Mat. 23 (2), 221-237, 2016.
  • J.C. Ramos-Fernández and M. Salas-Brown, On multiplication operators acting on Köthe sequence spaces Afr. Mat. 28 (3-4), 661-667, 2017.
  • H. Takagi and K. Yokouchi, Multiplication and composition operators between two $L^p$-spaces, Function spaces (Edwardsville, IL, 1998), Contemp. Math. 232, Amer. Math. Soc., Providence, RI, 1999, 321-338.
Toplam 18 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Matematik
Yazarlar

Héctor Camilo Chaparro Bu kişi benim 0000-0002-0723-8199

Yayımlanma Tarihi 15 Haziran 2019
Yayımlandığı Sayı Yıl 2019 Cilt: 48 Sayı: 3

Kaynak Göster

APA Chaparro, H. C. (2019). Multiplication operators between mixed norm Lebesgue spaces. Hacettepe Journal of Mathematics and Statistics, 48(3), 771-778.
AMA Chaparro HC. Multiplication operators between mixed norm Lebesgue spaces. Hacettepe Journal of Mathematics and Statistics. Haziran 2019;48(3):771-778.
Chicago Chaparro, Héctor Camilo. “Multiplication Operators Between Mixed Norm Lebesgue Spaces”. Hacettepe Journal of Mathematics and Statistics 48, sy. 3 (Haziran 2019): 771-78.
EndNote Chaparro HC (01 Haziran 2019) Multiplication operators between mixed norm Lebesgue spaces. Hacettepe Journal of Mathematics and Statistics 48 3 771–778.
IEEE H. C. Chaparro, “Multiplication operators between mixed norm Lebesgue spaces”, Hacettepe Journal of Mathematics and Statistics, c. 48, sy. 3, ss. 771–778, 2019.
ISNAD Chaparro, Héctor Camilo. “Multiplication Operators Between Mixed Norm Lebesgue Spaces”. Hacettepe Journal of Mathematics and Statistics 48/3 (Haziran 2019), 771-778.
JAMA Chaparro HC. Multiplication operators between mixed norm Lebesgue spaces. Hacettepe Journal of Mathematics and Statistics. 2019;48:771–778.
MLA Chaparro, Héctor Camilo. “Multiplication Operators Between Mixed Norm Lebesgue Spaces”. Hacettepe Journal of Mathematics and Statistics, c. 48, sy. 3, 2019, ss. 771-8.
Vancouver Chaparro HC. Multiplication operators between mixed norm Lebesgue spaces. Hacettepe Journal of Mathematics and Statistics. 2019;48(3):771-8.