2019-06-182019-06-182006-06Bernal González, L. (2006). Linear structure of the weighted holomorphic non-extendibility. Bulletin of the Australian Mathematical Society, 73 (3), 335-344.0004-97271755-1633https://hdl.handle.net/11441/87489In this paper, it is proved that, for any domain G of the complex plane, there exist an infinite-dimensional closed linear submanifold M1 and a dense linear submanifold M2 with maximal algebraic dimension in the space H(G) of holomorphic functions on G such that G is the domain of holomorphy of every nonzero member of f of M1 or M2 and, in addition, the growth of f near each boundary point is as fast as prescribed.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Holomorphic non-extendibilityInfinite-dimensional closed linear manifoldMaximal algebraic dimensionSpaceable setinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess10.1017/S0004972700035371