Perfil (CV) del personal docente investigador

Abadías Ullod, Luciano
Departamento: Departamento de Matemáticas
Área: Análisis Matemático
Centro: Facultad de Ciencias

Instituto: INSTITUTO UNIVERSITARIO DE MATEMÁTICAS Y APLICACIONES (IUMA)
Grupo: E48_23R: Análisis y física matemática

Tramos de investigación
  • Sexenio CNEAI. 01/01/24
  • Sexenio CNEAI. 13/11/23
Categoría profesional: Prof. Titular Univ.

Cargos
  • Director del Departamento de Matemáticas
Correo electrónico:
ORCID: 0000-0003-2453-7841

Titulaciones universitarias
  • Máster Universitario en Iniciación a la investigación en matemáticas. Facultad de Ciencias. 2012
  • Licenciado en Matemáticas Especialidad Matemática Fundamental. Facultad de Ciencias. 2011

Doctorados
  • Métodos matemáticos y sus aplicaciones. Universidad de Zaragoza. 2016
 
           

Artículos

  • Abadías Ullod, Luciano; Monsalve-López, Miguel. Regular fractional weighted Wiener algebras and invariant subspaces. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. 2026. DOI: 10.1016/j.jmaa.2025.129875

  • Abadias, Luciano; de León-Contreras, Marta; Mahillo, Alejandro. End-point maximal regularity for the discrete parabolic Cauchy problem and regularity of non-local operators in discrete Besov spaces. JOURNAL OF DIFFERENTIAL EQUATIONS. 2025. DOI: 10.1016/j.jde.2025.113465

  • Abadías Ullod, Luciano; Galé, José E. Convergence rates in mean ergodic theorems for Cesàro bounded operators. ACTA SCIENTIARUM MATHEMATICARUM. 2025. DOI: 10.1007/s44146-025-00189-3

  • Abadias, Luciano; González-Doña, F. Javier; Oliva-Maza, Jesús. Universality arising from invertible weighted composition operators. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. 2025. DOI: 10.1016/j.jmaa.2024.129129

  • Abadias, Luciano; Galé, José E.; Miana, Pedro J.; Oliva-Maza, Jesús. Weighted hyperbolic composition groups on the disc and subordinated integral operators. ADVANCES IN MATHEMATICS. 2024. DOI: 10.1016/j.aim.2024.109877

  • Abadias, Luciano; Oliva-Maza, Jesús. Spectral sets of generalized Hausdorff matrices on spaces of holomorphic functions on D. JOURNAL OF FUNCTIONAL ANALYSIS. 2024. DOI: 10.1016/j.jfa.2023.110298

  • Abadias, L.; Galé, J. E.; Miana, P. J.; Oliva-Maza, J. On the hyperbolic group and subordinated integrals as operators on sequence Banach spaces. ANALYSIS MATHEMATICA. 2024. DOI: 10.1007/s10476-024-00047-4

  • Abadias, L.; Galé, J. E.; Lizama, C. Poisson equation and discrete one-sided Hilbert transform for (c,a)-bounded operators. ISRAEL JOURNAL OF MATHEMATICS. 2023. DOI: 10.1007/s11856-022-2353-z

  • Abadías Ullod, Luciano; González-Camus, Jorge; Rueda, Silvia. Time-step heat problem on the mesh: asymptotic behaviour and decay rates. FORUM MATHEMATICUM. 2023. DOI: 10.1515/forum-2022-0334

  • Abadias, Luciano; de León-Contreras, Marta. Discrete Hölder spaces and their characterization via semigroups associated with the discrete Laplacian and kernel estimates. JOURNAL OF EVOLUTION EQUATIONS. 2022. DOI: 10.1007/s00028-022-00851-1

  • Abadías Ullod, Luciano; Álvarez, Edgardo; Díaz, Stiven. Subordination principle, Wright functions and large-time behavior for the discrete in time fractional diffusion equation. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. 2022. DOI: 10.1016/j.jmaa.2021.125741

  • Abadias, Luciano; Alvarez, Edgardo. Asymptotic behavior for the discrete in time heat equation. MATHEMATICS. 2022. DOI: 10.3390/math10173128

  • Abadias, L.; Alvarez, Edgardo; Grau, Rogelio. (w, c)-periodic mild solutions to non-autonomous abstract differential equations. MATHEMATICS. 2021. DOI: 10.3390/math9050474

  • Abadias, Luciano; González-Camus, J.; Miana, Pedro José; Pozo, J.C. Large time behaviour for the heat equation on Z, moments and decay rates. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. 2021. DOI: 10.1016/j.jmaa.2021.125137

  • Abadias, L.; Bello, G.; Yakubovich, D. Operator inequalities, functional models and ergodicity. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. 2021. DOI: 10.1016/j.jmaa.2021.124984

  • Abadias, L.; Bello, G.; Yakubovich, D. Functional models up to similarity and a-contractions. BANACH JOURNAL OF MATHEMATICAL ANALYSIS. 2021. DOI: 10.1007/s43037-020-00114-6

  • Abadias, L.; Alvarez, E. Fractional Cauchy problem with memory effects. MATHEMATISCHE NACHRICHTEN. 2020. DOI: 10.1002/mana.201800342

  • Abadias, L; Estrada-Rodriguez, G; Estrada, E. Fractional-order susceptible-infected model: definition and applications to the study of covid-19 main protease. FRACTIONAL CALCULUS AND APPLIED ANALYSIS. 2020. DOI: 10.1515/fca-2020-0033

  • Abadias, L.; Lizama, C.; Miana, P.J.; Velasco, M.P. On well-posedness of vector-valued fractional differential-difference equations. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. 2019. DOI: 10.3934/dcds.2019112

  • Abadías Ullod, Luciano; Álvarez, Edgardo; Banás, Józef; Lizama, Carlos. Solvability and uniform local attractivity for a Volterra equation of convolution type. JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS. 2019. DOI: 10.1216/JIE-2019-31-2-149

  • Abadias, L.; Bonilla, A. Growth orders and ergodicity for absolutely Cesàro bounded operators. LINEAR ALGEBRA AND ITS APPLICATIONS. 2019. DOI: 10.1016/j.laa.2018.10.002

  • Abadias, L.; Miana, P.J. Quasigeostrophic Equations for Fractional Powers of Infinitesimal Generators. JOURNAL OF FUNCTION SPACES. 2019. DOI: 10.1155/2019/4763450

  • Abadías Ullod, Luciano; Álvarez, Edgardo; Lizama, Carlos. Regularity properties of mild solutions for a class of Volterra equation with critical nonlinearities. JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS. 2018. DOI: 10.1216/JIE-2018-30-2-219

  • Abadias, L.; Miana, P.J. Generalized Cesaro operators, fractional finite differences and Gamma functions. JOURNAL OF FUNCTIONAL ANALYSIS. 2018. DOI: 10.1016/j.jfa.2017.10.010

  • Abadías Ullod, Luciano; de León-Contreras, Marta; Torrea, José Luis. Schauder estimates for discrete fractional integrals. PUBLICACIONES DEL SEMINARIO MATEMÁTICO GARCÍA DE GALDEANO. 2018

  • Abadias, L.; Álvarez, E. Uniform stability for fractional cauchy problems and applications. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS. 2018. DOI: 10.12775/TMNA.2018.038

  • Abadías Ullod, Luciano; Lizama, Carlos; Murillo-Arcila, Marina. Hölder regularity for the Moore-Gibson-Thompson equation with infinite delay. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. 2018. DOI: 10.3934/cpaa.2018015

  • Abadias, Luciano; de León-Contreras, Marta; Torrea, José L. Non-local fractional derivatives. Discrete and continuous. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. 2017. DOI: 10.1016/j.jmaa.2016.12.006

  • Abadias, Luciano; Miana, Pedro J. C0-semigroups and resolvent operators approximated by Laguerre expansions. JOURNAL OF APPROXIMATION THEORY. 2017. DOI: 10.1016/j.jat.2016.09.001

  • Abadias, L.; Lizama, C. Almost automorphic mild solutions to fractional partial difference-differential equations. APPLICABLE ANALYSIS. 2016. DOI: 10.1080/00036811.2015.1064521

  • Abadias, L.; Miana, P. J.; Romero, N. Quadrature Rules for L1-Weighted Norms of Orthogonal Polynomials. MEDITERRANEAN JOURNAL OF MATHEMATICS. 2016. DOI: 10.1007/s00009-015-0552-0

  • Abadías Ullod, Luciano; Lizama, Carlos; Miana, Pedro J.; Velasco M. Pilar. Cesàro sums and algebra homomorphisms of bounded operators. ISRAEL JOURNAL OF MATHEMATICS. 2016. DOI: 10.1007/s11856-016-1417-3CES

  • Abadías Ullod, Luciano. A Katznelson-Tzafriri type theorem for Cesàro bounded operators. STUDIA MATHEMATICA. 2016

  • Abadías Ullod, Luciano. Ecuación de Moore-Gibson-Thompson. ENTORNO ABIERTO. 2016

  • Abadias, L.; Lizama, C.; Miana, P.J. Sharp extensions and algebraic properties for solution families of vector-valued differential equations. BANACH JOURNAL OF MATHEMATICAL ANALYSIS. 2016. DOI: 10.1215/17358787-3345137

  • Abadias,L.; Miana,P. J. Hermite expansions of C0-groups and cosine functions. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. 2015. DOI: 10.1016/j.jmaa.2015.01.041

  • Abadias, L.; Miana, P. J. A subordination principle on wright functions and regularized resolvent families. JOURNAL OF FUNCTION SPACES. 2015. DOI: 10.1155/2015/158145

Libros

  • por Luciano Abadías Ullod ; dirigida por Pedro José Miana Sa. Series and integral representations of one-parameter operator families = Series y representaciones integrales de familias de operadores uniparamétricas : memoria presentada ... para optar al Grado de Doctor por la Universidad de Zaragoza. 2016



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