Research Article

Multiplication operators between mixed norm Lebesgue spaces

Volume: 48 Number: 3 June 15, 2019
  • Héctor Camilo Chaparro *
EN

Multiplication operators between mixed norm Lebesgue spaces

Abstract

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

Keywords

References

  1. Y.A. Abramovich and C.D. Aliprantis, An invitation to operator theory, Graduate Studies in Mathematics, 50, American Mathematical Society, Providence, RI, 2002.
  2. S.C. Arora, G. Datt, and S. Verma, Multiplication operators on Lorentz spaces, Indian J. Math. 48 (3), 317-329, 2006.
  3. 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.
  4. A. Benedek and R. Panzone, The spaces $L^P$, with mixed norm, Duke Math. J. 28, 301-324, 1961.
  5. A.P. Blozinski, Multivariate rearrangements and Banach function spaces with mixed norms, Trans. Amer. Math. Soc. 263 (1), 149-167, 1981.
  6. 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.
  7. R.E. Castillo, J.C. Ramos Fernández, and H. Rafeiro, Multiplication operators in variable Lebesgue spaces, Rev. Colombiana Mat. 49 (2), 293-305, 2015.
  8. 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.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Héctor Camilo Chaparro * This is me
0000-0002-0723-8199

Publication Date

June 15, 2019

Submission Date

January 16, 2017

Acceptance Date

January 11, 2018

Published in Issue

Year 2019 Volume: 48 Number: 3

APA
Chaparro, H. C. (2019). Multiplication operators between mixed norm Lebesgue spaces. Hacettepe Journal of Mathematics and Statistics, 48(3), 771-778. https://izlik.org/JA92CW92MP
AMA
1.Chaparro HC. Multiplication operators between mixed norm Lebesgue spaces. Hacettepe Journal of Mathematics and Statistics. 2019;48(3):771-778. https://izlik.org/JA92CW92MP
Chicago
Chaparro, Héctor Camilo. 2019. “Multiplication Operators Between Mixed Norm Lebesgue Spaces”. Hacettepe Journal of Mathematics and Statistics 48 (3): 771-78. https://izlik.org/JA92CW92MP.
EndNote
Chaparro HC (June 1, 2019) Multiplication operators between mixed norm Lebesgue spaces. Hacettepe Journal of Mathematics and Statistics 48 3 771–778.
IEEE
[1]H. C. Chaparro, “Multiplication operators between mixed norm Lebesgue spaces”, Hacettepe Journal of Mathematics and Statistics, vol. 48, no. 3, pp. 771–778, June 2019, [Online]. Available: https://izlik.org/JA92CW92MP
ISNAD
Chaparro, Héctor Camilo. “Multiplication Operators Between Mixed Norm Lebesgue Spaces”. Hacettepe Journal of Mathematics and Statistics 48/3 (June 1, 2019): 771-778. https://izlik.org/JA92CW92MP.
JAMA
1.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, vol. 48, no. 3, June 2019, pp. 771-8, https://izlik.org/JA92CW92MP.
Vancouver
1.Héctor Camilo Chaparro. Multiplication operators between mixed norm Lebesgue spaces. Hacettepe Journal of Mathematics and Statistics [Internet]. 2019 Jun. 1;48(3):771-8. Available from: https://izlik.org/JA92CW92MP