Operadores localmente definidos en espacios de funciones de Λ-variación acotada
Palabras clave:
Funciones de Λ-variación acotada, operador local, operador Nemystkii, función continua
Resumen
Se demuestra que cada operador localmente definido actuando entre espacios de funciones reales definidas en un intervalo de Λ-variación acotada es un operador de composición Nemytskii.
Citas
L. Anzola, N. Merentes and J. L. Sánchez. Uniformly continuous composition operator in the space of Λ-variation functions in the sense of Waterman. Submitted.
J. Appell and P. P. Zabrejko. Nonlinear superposition operators. Cambridge-Port Chester-Melbourne-Sydney, 1990.
W. Aziz, J. A. Guerrero, K. Maldonado and N. Merentes. Locally defined operators in the space of continuous functions of bounded Riesz-variation, Journal of Mathematics, Volume 2015, Article ID 925091, http://dx.doi.org/10.1155/2015/925091.
K. Lichawski, J. Matkowski and J. Miś. Locally defined operators in the space of differentiable functions. Bull. Pol. Acad. Sci. Math., 37 (1989), 315–325.
J. Matkowski and M. Wrobel. Locally defined operators in the space of Whitney differentiable functions. Nonlinear Anal., 68 (2008), 2873–3232.
J. Matkowski and M. Wrobel. Representation theorem for locally defined operators in the space of Whitney differentiable functions. Manuscripta Math., 129 (2009), 437–448.
J. Matkowski and M. Wrobel. The bounded local operators in the Banach space of Hölder functions. Jan D lugosz University in Czȩstochowa, Scientific Issues, Mathematics XV (2010), 91–98.
D. Waterman. On convergence of Fourier series of functions of generalized variation. Studia Math., 44 (1972), 107–117.
M. Wrobel. Locally defined operators and a partial solution of a conjecture. Nonlinear Anal., 72 (2010), 495–506.
M. Wrobel. Representation theorem for local operators in the space of continuous and monotone functions. J. Math. Anal. Appl., 372 (2010), 45–54.
M. Wrobel. Locally defined operators in the Hölder’s spaces. Nonlinear Anal., 74 (2011), 317–323.
M. Wrobel. Locally defined operators in the space of functions of bounded φ-variation. Real Anal. Exch., 38(1) (2013), 79–94.
J. Appell and P. P. Zabrejko. Nonlinear superposition operators. Cambridge-Port Chester-Melbourne-Sydney, 1990.
W. Aziz, J. A. Guerrero, K. Maldonado and N. Merentes. Locally defined operators in the space of continuous functions of bounded Riesz-variation, Journal of Mathematics, Volume 2015, Article ID 925091, http://dx.doi.org/10.1155/2015/925091.
K. Lichawski, J. Matkowski and J. Miś. Locally defined operators in the space of differentiable functions. Bull. Pol. Acad. Sci. Math., 37 (1989), 315–325.
J. Matkowski and M. Wrobel. Locally defined operators in the space of Whitney differentiable functions. Nonlinear Anal., 68 (2008), 2873–3232.
J. Matkowski and M. Wrobel. Representation theorem for locally defined operators in the space of Whitney differentiable functions. Manuscripta Math., 129 (2009), 437–448.
J. Matkowski and M. Wrobel. The bounded local operators in the Banach space of Hölder functions. Jan D lugosz University in Czȩstochowa, Scientific Issues, Mathematics XV (2010), 91–98.
D. Waterman. On convergence of Fourier series of functions of generalized variation. Studia Math., 44 (1972), 107–117.
M. Wrobel. Locally defined operators and a partial solution of a conjecture. Nonlinear Anal., 72 (2010), 495–506.
M. Wrobel. Representation theorem for local operators in the space of continuous and monotone functions. J. Math. Anal. Appl., 372 (2010), 45–54.
M. Wrobel. Locally defined operators in the Hölder’s spaces. Nonlinear Anal., 74 (2011), 317–323.
M. Wrobel. Locally defined operators in the space of functions of bounded φ-variation. Real Anal. Exch., 38(1) (2013), 79–94.
Publicado
2019-12-29
Cómo citar
Aziz, W., Guerrero, J. A., & Zambrano, N. (2019). Operadores localmente definidos en espacios de funciones de Λ-variación acotada. Divulgaciones Matemáticas, 20(2), 31-38. Recuperado a partir de https://mail.produccioncientificaluz.org/index.php/divulgaciones/article/view/36628
Sección
Artículos de Investigación
