Dr. Lianet De la Cruz Toranzo

Profil

Derzeitige StellungProfessor W-1 und Äquivalente
FachgebietFunktionen von einer komplexen Variable
Keywordshigher order Lipschitz classes, Fractional Calculus, Clifford analysis, Riemann-Hilbert problems, Hardy decomposition

Aktuelle Kontaktadresse

LandSpanien
OrtCastellon de la Plana
Universität/InstitutionUniversidad Jaume I de Castellon
Institut/AbteilungDepartamento de Matemáticas

Gastgeber*innen während der Förderung

Prof. Dr. Swanhild BernsteinInstitut für Angewandte Analysis, Technische Universität Bergakademie Freiberg, Freiberg
Beginn der ersten Förderung01.10.2022

Programm(e)

2022Humboldt-Forschungsstipendien-Programm für Postdocs

Publikationen (Auswahl)

2024Lianet 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,
2024Lianet De la Cruz Toranzo and Ricardo Abreu Blaya and Swanhild Bernstein: Hardy decomposition of higher order Lipschitz classes by polymonogenic functions. In: arXiv, 2024,
2022A. 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,
2021Ricardo Abreu Blaya and Lianet De la Cruz Toranzo: Polyanalytic Hardy decomposition of higher order Lipschitz functions. In: J. Math. Anal. Appl., 493, 2021,
2019Lianet 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,
2019Lianet 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,
2018Lianet 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
2017Ricardo 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
2017Juan 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,