Postdoctoral researcher
Institute for Mathematical Sciences
E-mail: christina.karafyllia ΑΤ stonybrook DOT edu
E-mail: ckarafyllia ΑΤ uth DOT gr
I am a postdoctoral researcher at Stony Brook University and at University of Thessaly. I received my Ph.D. from Aristotle University of Thessaloniki in 2020 under the supervision of Dimitrios Betsakos.
Research interests
Complex analysis, geometric function theory, spaces of holomorphic functions, potential theory.
Publications
The Bergman number of a plane domain, Illinois Journal of Mathematics 67 (2023), no. 3, 485-498. DOI: 10.1215/00192082-10678837 (arXiv preprint)
Extremal distance and conformal mappings in Hardy and Bergman spaces, The Journal of Geometric Analysis 33 (2023), no. 155. DOI:10.1007/s12220-023-01214-z view-only version (arXiv preprint)
(with N. Karamanlis) Geometric characterizations for conformal mappings in weighted Bergman spaces, Journal d' Analyse Mathématique 150 (2023), 303-324. DOI:10.1007/s11854-023-0274-3 (arXiv preprint)
The range of Hardy numbers for comb domains, Computational Methods and Function Theory 22 (2022), no. 4, 743–753. DOI:10.1007/s40315-021-00426-0 view-only version (arXiv preprint)
(with D. Ntalampekos) Extension of boundary homeomorphisms to mappings of finite distortion, Proceedings of the London Mathematical Society (3) 125 (2022), no. 3, 488-510. DOI:10.1112/plms.12462 (arXiv preprint)
On the Hardy number of comb domains, Annales Fennici Mathematici 47 (2022), no. 1, 587-601. DOI:10.54330/afm.115480 published version (arXiv preprint)
On a property of harmonic measure on simply connected domains, Canadian Journal of Mathematics 73 (2021), no. 2, 297-317. DOI:10.4153/S0008414X19000592 (arXiv preprint)
(with D. Betsakos and N. Karamanlis) Hyperbolic metric and membership of conformal maps in the Bergman space, Canadian Mathematical Bulletin 64 (2021), no. 1, 174-181. DOI:10.4153/S000843952000034X
On a relation between harmonic measure and hyperbolic distance on planar domains, Indiana University Mathematics Journal 69 (2020), no. 5, 1785-1814. DOI:10.1512/iumj.2020.69.8002 (arXiv preprint)
On the Hardy number of a domain in terms of harmonic measure and hyperbolic distance, Arkiv för Matematik 58 (2020), no. 2, 307-331. DOI:10.4310/ARKIV.2020.v58.n2.a5 (arXiv preprint)
Hyperbolic distance and membership of conformal maps in the Hardy space, Proceedings of the American Mathematical Society 147 (2019), no. 9, 3855-3858. DOI:10.1090/proc/14512 (arXiv preprint)