Research interests

Complex analysis, geometric function theory, spaces of holomorphic functions, potential theory.

Publications

• Unbounded Hölder domains, Preprint. (arXiv preprint)

• (with D. Ntalampekos) Uniformization of Gromov hyperbolic domains by circle domains, Preprint. (arXiv preprint)

• The Bergman number of a plane domain, Illinois Journal of Mathematics  67 (2023), no. 3, 485-498.  (arXiv preprint)

• Extremal distance and conformal mappings in Hardy and Bergman spaces, The Journal of Geometric Analysis 33 (2023), no. 155. 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. (arXiv preprint)

• The range of Hardy numbers for comb domains, Computational Methods and Function Theory  22 (2022), no. 4, 743–753 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. (arXiv preprint)

• On the Hardy number of comb domains, Annales Fennici Mathematici 47 (2022), no. 1, 587-601. published version  (arXiv preprint)

• On a property of harmonic measure on simply connected domains, Canadian Journal of Mathematics 73 (2021), no. 2, 297-317. (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.  

• On a relation between harmonic measure and hyperbolic distance on planar domains, Indiana University Mathematics Journal 69 (2020), no. 5, 1785-1814. (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. (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. (arXiv preprint)