Análisis y Aplicaciones

• J.R. Morales, E.M. Rojas and R.K. Bisht, Generalized contraction mappings of rational type and applications to nonlinear integral equations, Boletim da Sociedade Paranaense de Matemática, 38 (1) (2020), 131-149.

• R.E. Castillo, H. Rafeiro, J.C. Ramos-Fernández and M. Salas-Brown, Multiplication Operator on Köthe Spaces: Measure of Non-compactness and Closed Range, Bull.Malays. Math. Sci. Soc. (2019) 42: 1523.
• R.E. Castillo, O.M. Guzmán and H, Rafeiro, Linear functionals on variable exponent Bochner–Lebesgue spaces. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 30 (2019), 583-597. doi: 10.4171/RLM/861
• R.E. Castillo, J. Ramos-Fernández and E. M. Rojas, A note on the Kato class and some applications, Positivity (2019) 23: 327.

Autor: Óscar Mauricio Guzmán Fonseca,Doctor en Ciencias Matemáticas, UNAL-Bogotá, (2019).
Título: Weighted composition operators on multidimensional lorentz spaces and a glimpse on multipliers between bounded p-variation spaces.
Director: René Erlin Castillo

• H. Rafeiro, R.E. Castillo and E. Trousselot, A note on Merentes–Riesz bounded variation spaces. Miskolc Mathematical Notes, 19(1) (2018),157-170.
• D.M. Serrano-Rodríguez, A Note on a Paper of S.G. Kim, extracta mathematicae,33(2) (2018), 145 -147
• N. Albuquerque, G. Araújo, W. Cavalcante, T. Nogueira, D. Núñez, D. Pellegrino,and P. Rueda, On summability of multilinear operators and applications, Ann. Funct.Anal., 9(4) (2018), 574-590.
• J. Martinez-Moreno, D. Gopal,V. Gupta, E. Rojas, and S. Shukla, Nonlinear Operator Theory and Its Applications, Journal of Function Spaces Volume 2018, Article ID9713872, 2 pages

Autor: Héctor Camilo Chaparro Gutiérrez, Doctor en Ciencias Matemáticas, UNAL-Bogotá, (2018).
Título: Weighted composition operators onmultidimensional Lorentz spaces and a glimpse on multipliers between bounded p-variation spaces
Director: René Erlin Castillo

• R.E. Castillo, J.C. Ramos-Fernandez and E.M. Rojas, Properties of scales of Kato classes, Bessel potentials, Morrey spaces, and a weak Harnack inequality for non-negative solutions of elliptic equations, Electron. J. Differential Equations, Vol. 2017 (2017), No. 92, pp. 1-17
• W.E. Barrera, J.R. Morales and E.M. Rojas, A fixed point theorem for contractive mappings with nonlinear combinations of rational expressions in b-metric spaces, Fasc. Mathematici, 58, (2017), 29-46. DOI:10.1515/fascmath-2017-0003. 
• D. Cruz-Uribe, A. Fiorenza and O. M. Guzmán, Embeddings between grand, small,and variable Lebesgue spaces,  Math Notes (2017) 102: 677.
• J.R. Morales and E.M. Rojas, Geraghty's approach for Kannan, Chatterjea and Branciari mappings in b-metric spaces, Indian Journal of Maths., 59(1) (2017), 73-106.
• R.E. Castillo and H.C. Chaparro, Weighted composition operator on two-dimensional Lorentz spaces, Mathematical Inequalities and Applications, 20(3) (2017) 773-799 dx.doi.org/10.7153/mia-20-49

Autor: David Ojeda Marulanda,Magíster en Ciencias Matemáticas (2017), UNAL-Bogotá.
Título: Soluciones de una Clase de Ecuaciones Integrales No-lineales en L^P(.)(a,b) (2017)
Director: Edixon Manuel Rojas

• R.E. Castillo,  J.C. Ramos-Fernández , and  E.M. Rojas , Volterra integral equations on variable exponent Lebesgue spaces, J. Integral Equations Applications 28(1) (2016), 1-29. doi:10.1216/JIE-2016-28-1-1
• R.E. Castillo, J.C. Ramos-Fernández and M. Salas-Brown, The Essential Norm of Multiplication Operators on Lorentz Sequence Spaces, Real Analysis Exchange Vol.41, No. 1 (2016), pp. 245-252, DOI: 10.14321/realanalexch.41.1.0245
• R.E.Castillo, O.M. Guzmán and H. Rafeiro, Variable exponent bounded variation spaces in the Riesz sense, Nonlinear Analysis , 132 , (2016), 173-182

• E.M. Rojas, Boundary value problems and singular integral equations on Banach function spaces, Dissertationes Mathematicae 512 (2015), 1-42, DOI:10.4064/dm742-12-2015
• R.E. Castillo, H.C. Chaparro and J.C. Ramos-Fernández, Orlicz-Lorentz Spaces and their Composition Operators, Proyecciones (Antofagasta) vol.34 no.1 Antofagasta mar. 2015
• R.E. Castillo and H. Rafeiro, Inequalities with conjugate exponents in grand Lebesgue spaces, Hacettepe Journal of Mathematics and Statistics Volume 44 (1) (2015), 33-39
• J. Galvis, E.M. Rojas, A.V. Sinitsyn, Existence of positive solutions of a nonlinear second-order boundary-value problem with integral boundary conditions, Electron. J. Diff. Equ., Vol. 2015 (2015), No. 236, pp. 1-7.
• R.E. Castillo, H. Rafeiro and E. Trousselot, Space of Functions with Some Generalization of Bounded Variation in the Sense of de La Vallée Poussin, Journal of Function Spaces, Volume 2015, Article ID 605380, 9 pages
• R.E. Castillo, F.A. Vallejo Narvaez and J.C. Ramos-Fernández, Multiplication and Composition Operators on Weak Lp Spaces,  Bull. Malays. Math. Sci. Soc. (2015) 38: 927.
• R.E. Castillo, C.E. Marrero-Rodríguez and J.C. Ramos-Fernández, On a Criterion for Continuity and Compactness of Composition Operators on the Weighted Bloch Space,  Mediterr. J. Math. (2015) 12: 1047.
• L. P. Castro, E.M. Rojas, S. Saitoh, N.M. Tuan and P.D. Tuan, Solvability of singular integral equations with rotations and degenerate kernels in the vanishing coefficient case, Analysis and Applications, 13(1), 1-21 (2015)