169380 20260225105429.0 doi 10.1007/s00025-026-02606-7 sideral 148329 ART-2026-148329 eng Bello, Glenier Universidad de Zaragoza (orcid)0000-0001-6249-9247 Self-improving estimates of growth of subharmonic and analytic functions 2026 Given a bounded open subset Ω and closed subsets A, B of Rk, we discuss when an estimate u(x) ≤ g(dist(x, A ∪ B)), x ∈ Ω \ (A ∪ B), for a function u subharmonic on Ω\B, implies that u(x) ≤ h(dist(x, B)), x ∈ Ω \ B, where g, h : (0, ∞) → (0, ∞) are decreasing functions and g(0+) = h(0+) = ∞. We seek for explicit expressions of h in terms of g. We give some results of this type and show that Domar’s work Domar, Y Ark. Mat. 3, 429–440 (1957) permits one to deduce other results in this direction. Then we compare these two approaches. Similar results are deduced for estimates of analytic functions. Access copy available to the general public Unrestricted info:eu-repo/grantAgreement/ES/DGA/E48-23R info:eu-repo/grantAgreement/ES/MICINN/PID2022-137294NB-I00 info:eu-repo/grantAgreement/ES/MICINN/PID2022-138342NB-I00 info:eu-repo/semantics/openAccess by https://creativecommons.org/licenses/by/4.0/deed.es info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Yakubovich, Dmitry 2006 015 Universidad de Zaragoza Dpto. Matemáticas Área Análisis Matemático 81, 2 (2026), [25 pp.] Results in Mathematics Results in Mathematics 1422-6383 611526 http://zaguan.unizar.es/record/169380/files/texto_completo.pdf Versión publicada 1026329 http://zaguan.unizar.es/record/169380/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:169380 articulos driver 2026-02-24-14:47:54 ARTICLE