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Profile
| Academic position | Lecturer, Assistant Professor, Researcher |
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| Research fields | Functions of a complex variable |
| Keywords | higher order Lipschitz classes, Fractional Calculus, Clifford analysis, Riemann-Hilbert problems, Hardy decomposition |
Current contact address
| Country | Spain |
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| City | Castellon de la Plana |
| Institution | Universidad Jaume I de Castellon |
| Institute | Departamento de Matemáticas |
Host during sponsorship
| Prof. Dr. Swanhild Bernstein | Institut für Angewandte Analysis, Technische Universität Bergakademie Freiberg, Freiberg |
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| Start of initial sponsorship | 01/10/2022 |
Programme(s)
| 2022 | Humboldt Research Fellowship Programme for Postdocs |
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Publications (partial selection)
| 2024 | Lianet De la Cruz Toranzo and Ricardo Abreu Blaya and Swanhild Bernstein: Hardy decomposition of first order Lipschitz functions by Clifford algebra-valued harmonic functions. In: J. Math. Anal. Appl., 536 2024, |
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| 2024 | Lianet De la Cruz Toranzo and Ricardo Abreu Blaya and Swanhild Bernstein: Hardy decomposition of higher order Lipschitz classes by polymonogenic functions. In: arXiv, 2024, |
| 2022 | A. Karapetyants and L. De la Cruz Toranzo: A Note on Potentials of Imaginary Order in Variable Generalized Holomorphic Hölder Spaces. In: J. Appl. Ind. Math., 2022, |
| 2021 | Ricardo Abreu Blaya and Lianet De la Cruz Toranzo: Polyanalytic Hardy decomposition of higher order Lipschitz functions. In: J. Math. Anal. Appl., 493, 2021, |
| 2019 | Lianet De la Cruz Toranzo and Arsenio Moreno García and Tania Moreno García and Ricardo Abreu Blaya and Juan Bory Reyes: A Bimonogenic Cauchy Transform on Higher Order Lipschitz Classes. In: Mediterr. J. Math., 16, 2019, |
| 2019 | Lianet De la Cruz Toranzo and Ricardo Abreu Blaya and Juan Bory Reyes: On the Plemelj-Privalov theorem in Clifford analysis involving higher order Lipschitz classes. In: J. Math. Anal. Appl., 480, 2019, |
| 2018 | Lianet De la Cruz Toranzo and Ricardo Abreu Blaya and Juan Bory Reyes: The Plemelj-Privalov theorem in polyanalytic function theory. In: J. Math. Anal. Appl., 463, 2018, 517-533 |
| 2017 | Ricardo Abreu-Blaya and Lianet De la Cruz-Toranzo and Tania R. Gómez-Santiesteban and Yulieth Ramírez-Leyva and Juan Bory-Reyes: Cauchy Integral Operators Involving Higher Order Lipschitz Classes in the Poly-Analytic Function Theory. In: Bull Braz Math Soc, New Series, 48, 2017, 253-260 |
| 2017 | Juan Bory-Reyes and Lianet De la Cruz-Toranzo and Ricardo Abreu-Blaya: Singular Integral Operator Involving Higher Order Lipschitz Classes. In: Mediterr. J. Math., 14, 2017, |