Pubblicato

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

Parole chiave:

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

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Autori

  • 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.

Riferimenti bibliografici

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L. Angeloni, J. Appell, and S. Reinwand, Some remarks on Vainikko integral operators in BV type spaces, Boll. Unione Mat. Ital. 13 (2020), 555-565.

J. Duoandikoetxea, Fourier analysis, Graduate Studies in Mathematics, Vol. 29, American Mathematical Society, Providence, R.I., 2001.

H. Gunawan, E. Kikianty, Y. Sawano, and C. Schwanke, Three geometric constants for Morrey spaces, Bull. Korean Math. 56 (2019), 1569-1575.

H. Gunawan, E. Kikianty, and C. Schwanke, Discrete morrey spaces and their inclusion properties, Math. Nachr. 291 (2018), 1283-1296.

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.

G. Vainikko, Cordial Volterra integral equations 1, Num. Funct. Anal. Optim. 30 (2009), 1145-1172.

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Come citare

APA

Guzman-Partida, M., San Martin, L. e 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. e Villegas-Acuña, A. 2024. Vainikko operator on discrete Morrey spaces. Revista Colombiana de Matemáticas. 57, 2 (lug. 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: 22 gen. 2025.

Chicago

Guzman-Partida, Martha, Luis San Martin, e 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. e Villegas-Acuña, A. (2024) «Vainikko operator on discrete Morrey spaces», Revista Colombiana de Matemáticas, 57(2), pagg. 179–191. doi: 10.15446/recolma.v57n2.115852.

IEEE

[1]
M. Guzman-Partida, L. San Martin, e A. Villegas-Acuña, «Vainikko operator on discrete Morrey spaces», rev.colomb.mat, vol. 57, n. 2, pagg. 179–191, lug. 2024.

MLA

Guzman-Partida, M., L. San Martin, e A. Villegas-Acuña. «Vainikko operator on discrete Morrey spaces». Revista Colombiana de Matemáticas, vol. 57, n. 2, luglio 2024, pagg. 179-91, doi:10.15446/recolma.v57n2.115852.

Turabian

Guzman-Partida, Martha, Luis San Martin, e Alejandro Villegas-Acuña. «Vainikko operator on discrete Morrey spaces». Revista Colombiana de Matemáticas 57, no. 2 (luglio 18, 2024): 179–191. Consultato gennaio 22, 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]. 18 luglio 2024 [citato 22 gennaio 2025];57(2):179-91. Available at: https://revistas.unal.edu.co/index.php/recolma/article/view/115852

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