Published

2024-07-18

Vainikko operator on discrete Morrey spaces

El operador de Vainikko en espacios de Morrey discretos

DOI:

https://doi.org/10.15446/recolma.v57n2.115852

Keywords:

discrete Morrey, Vainikko operator, commutator. (en)
espacios de Morrey discretos, operador de Vainikko, conmutador (es)

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Authors

  • Martha Guzman-Partida Universidad de Sonora
  • Luis San Martin Universidad de Sonora
  • Alejandro Villegas-Acuña Universidad de Sonora

We prove boundedness of a discrete version of Vainikko operator on discrete Morrey spaces. We also show that the commutator of this Vainikko operator with a multiplication operator by an element of a discrete version of BMO is bounded on these spaces.

Probamos que una versión discreta del operador de Vainikko en espacios de Morrey discretos es acotado. También probamos que el conmutador de este operador de Vainikko con un operador de multiplicación discreto de tipo BMO es acotado en espacios de Morrey discretos.

References

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H. Gunawan and C. Schwanke, The Hardy-Littlewood maximal operator on discrete Morrey spaces, Mediterr. J. Math. 16 (2019), no. 24, 12 pp.

M. Guzman-Partida, Boundedness and compactness of some operators on discrete Morrey spaces, Comment. Math. Univ. Carolin. 62 (2021), 151-158.

E. Kikianty and C. Schwanke, Discrete Morrey spaces are closed subspaces of their continuous counterparts, Function Spaces XII, Banach Center Publications 119 (2019), 223-231.

L. B. Pierce, Discrete analogues in harmonic analysis, vol. 17, Ph.D. Dissertation, Princeton University, 2009.

E. Stein, Harmonic Analysis: Real Variable Methods, Orthogonality, and Oscillatory Integrals, Princeton University Press, Princeton, 1971.

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How to Cite

APA

Guzman-Partida, M., San Martin, L. and Villegas-Acuña, A. (2024). Vainikko operator on discrete Morrey spaces. Revista Colombiana de Matemáticas, 57(2), 179–191. https://doi.org/10.15446/recolma.v57n2.115852

ACM

[1]
Guzman-Partida, M., San Martin, L. and Villegas-Acuña, A. 2024. Vainikko operator on discrete Morrey spaces. Revista Colombiana de Matemáticas. 57, 2 (Jul. 2024), 179–191. DOI:https://doi.org/10.15446/recolma.v57n2.115852.

ACS

(1)
Guzman-Partida, M.; San Martin, L.; Villegas-Acuña, A. Vainikko operator on discrete Morrey spaces. rev.colomb.mat 2024, 57, 179-191.

ABNT

GUZMAN-PARTIDA, M.; SAN MARTIN, L.; VILLEGAS-ACUÑA, A. Vainikko operator on discrete Morrey spaces. Revista Colombiana de Matemáticas, [S. l.], v. 57, n. 2, p. 179–191, 2024. DOI: 10.15446/recolma.v57n2.115852. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/115852. Acesso em: 2 feb. 2025.

Chicago

Guzman-Partida, Martha, Luis San Martin, and Alejandro Villegas-Acuña. 2024. “Vainikko operator on discrete Morrey spaces”. Revista Colombiana De Matemáticas 57 (2):179-91. https://doi.org/10.15446/recolma.v57n2.115852.

Harvard

Guzman-Partida, M., San Martin, L. and Villegas-Acuña, A. (2024) “Vainikko operator on discrete Morrey spaces”, Revista Colombiana de Matemáticas, 57(2), pp. 179–191. doi: 10.15446/recolma.v57n2.115852.

IEEE

[1]
M. Guzman-Partida, L. San Martin, and A. Villegas-Acuña, “Vainikko operator on discrete Morrey spaces”, rev.colomb.mat, vol. 57, no. 2, pp. 179–191, Jul. 2024.

MLA

Guzman-Partida, M., L. San Martin, and A. Villegas-Acuña. “Vainikko operator on discrete Morrey spaces”. Revista Colombiana de Matemáticas, vol. 57, no. 2, July 2024, pp. 179-91, doi:10.15446/recolma.v57n2.115852.

Turabian

Guzman-Partida, Martha, Luis San Martin, and Alejandro Villegas-Acuña. “Vainikko operator on discrete Morrey spaces”. Revista Colombiana de Matemáticas 57, no. 2 (July 18, 2024): 179–191. Accessed February 2, 2025. https://revistas.unal.edu.co/index.php/recolma/article/view/115852.

Vancouver

1.
Guzman-Partida M, San Martin L, Villegas-Acuña A. Vainikko operator on discrete Morrey spaces. rev.colomb.mat [Internet]. 2024 Jul. 18 [cited 2025 Feb. 2];57(2):179-91. Available from: https://revistas.unal.edu.co/index.php/recolma/article/view/115852

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