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000169380 0247_ $$2doi$$a10.1007/s00025-026-02606-7
000169380 0248_ $$2sideral$$a148329
000169380 037__ $$aART-2026-148329
000169380 041__ $$aeng
000169380 100__ $$0(orcid)0000-0001-6249-9247$$aBello, Glenier$$uUniversidad de Zaragoza
000169380 245__ $$aSelf-improving estimates of growth of subharmonic and analytic functions
000169380 260__ $$c2026
000169380 5060_ $$aAccess copy available to the general public$$fUnrestricted
000169380 5203_ $$aGiven 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.
000169380 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E48-23R$$9info:eu-repo/grantAgreement/ES/MICINN/PID2022-137294NB-I00$$9info:eu-repo/grantAgreement/ES/MICINN/PID2022-138342NB-I00
000169380 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttps://creativecommons.org/licenses/by/4.0/deed.es
000169380 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000169380 700__ $$aYakubovich, Dmitry
000169380 7102_ $$12006$$2015$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Análisis Matemático
000169380 773__ $$g81, 2 (2026), [25 pp.]$$pResults in Mathematics$$tResults in Mathematics$$x1422-6383
000169380 8564_ $$s611526$$uhttps://zaguan.unizar.es/record/169380/files/texto_completo.pdf$$yVersión publicada
000169380 8564_ $$s1026329$$uhttps://zaguan.unizar.es/record/169380/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
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000169380 951__ $$a2026-02-24-14:47:54
000169380 980__ $$aARTICLE