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Journals / Hacettepe Journal of Mathematics and Statistics / 2019 / Cilt: 48 - Sayı: 3

Multiplication operators between mixed norm Lebesgue spaces

Héctor Camilo CHAPARRO
Pages
771–778
Publication Date
2019-06-15
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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

📌 3 Key Takeaways

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Objective & Hypothesis:The boundedness, compactness and closed range of the multiplication operator defined on mixed norm Lebesgue spaces are characterized in this paper.
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Key Findings & Data:The boundedness, compactness and closed range of the multiplication operator defined on mixed norm Lebesgue spaces are characterized in this paper.
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Conclusion & Impact:The boundedness, compactness and closed range of the multiplication operator defined on mixed norm Lebesgue spaces are characterized in this paper.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:compact operator · multiplication operator · mixed norm space

Abstract

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

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Cite This Article

CHAPARRO, H. C. (2019). Multiplication operators between mixed norm Lebesgue spaces. Hacettepe Journal of Mathematics and Statistics, Cilt: 48 - Sayı: 3, 771–778. https://ajindex.com/articles/669364

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References (15)

  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. 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.
  3. A. Benedek and R. Panzone, The spaces $L^P$, with mixed norm, Duke Math. J. 28, 301-324, 1961.
  4. A.P. Blozinski, Multivariate rearrangements and Banach function spaces with mixed norms, Trans. Amer. Math. Soc. 263 (1), 149-167, 1981.
  5. 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.
  6. R.E. Castillo, J.C. Ramos Fernández, and H. Rafeiro, Multiplication operators in variable Lebesgue spaces, Rev. Colombiana Mat. 49 (2), 293-305, 2015.
  7. 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.
  8. 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.
  9. H.C. Chaparro, On Multipliers between Bounded Variation Spaces, Ann. Funct. Anal. 9 (3), 376-383, 2018.
  10. W. Grey and G. Sinnamon, The inclusion problem for mixed norm spaces, Trans. Amer. Math. Soc. 368 (12), 8715-8736, 2016.
  11. P.R. Halmos, What does the spectral theorem say?, Amer. Math. Monthly 70, 241-247, 1963.
  12. 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.
  13. V. Kolyada and J. Soria, Mixed norms and iterated rearrangements, Z. Anal. Anwend. 35 (2), 119-138, 2016.
  14. 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.
  15. 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,