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of 146
pro vyhledávání: '"Jimenez Garrido A"'
We characterize several stability properties, such as inverse or composition closedness, for ultraholomorphic function classes of Roumieu type defined in terms of a weight matrix. In this way we transfer and extend known results from J. Siddiqi and M
Externí odkaz:
http://arxiv.org/abs/2307.14762
Publikováno v:
J. Math. Anal. Appl. 526, no. 2, 127260, 2023
We show that the ultradifferentiable-like classes of smooth functions introduced and studied by S. Pilipovi\'c, N. Teofanov and F. Tomi\'c are special cases of the general framework of spaces of ultradifferentiable functions defined in terms of weigh
Externí odkaz:
http://arxiv.org/abs/2211.08090
Publikováno v:
Res. Math. 78, art. no. 98, 2023
We construct optimal flat functions in Carleman-Roumieu ultraholomorphic classes associated to general strongly nonquasianalytic weight sequences, and defined on sectors of suitably restricted opening. A general procedure is presented in order to obt
Externí odkaz:
http://arxiv.org/abs/2205.07605
While the asymptotic Borel mapping, sending a function into its series of asymptotic expansion in a sector, is known to be surjective for arbitrary openings in the framework of ultraholomorphic classes associated with sequences of rapid growth, there
Externí odkaz:
http://arxiv.org/abs/2204.01316
Publikováno v:
Res. Math. 77, art. no. 28, 2022
We characterize the equality between ultradifferentiable function classes defined in terms of abstractly given weight matrices and in terms of the corresponding matrix of associated weight functions by using new growth indices. These indices, defined
Externí odkaz:
http://arxiv.org/abs/2105.11842
Publikováno v:
Rev. R. Acad. Cienc. Exactas F\'is. Nat. Ser. A Mat. RACSAM, no. 115, art. no. 181, 2021
We study the surjectivity of, and the existence of right inverses for, the asymptotic Borel map in Carleman-Roumieu ultraholomorphic classes defined by regular sequences in the sense of E. M. Dyn'kin. We extend previous results by J. Schmets and M. V
Externí odkaz:
http://arxiv.org/abs/2007.06310
Akademický článek
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Publikováno v:
In Journal of Mathematical Analysis and Applications 15 October 2023 526(2)
Publikováno v:
Banach J. of Math. Anal. 14, no. 4, 1630-1669, 2020
The aim of this work is to generalize the ultraholomorphic extension theorems from V. Thilliez in the weight sequence setting and from the authors in the weight function setting (of Roumieu type) to a mixed framework. Such mixed results have already
Externí odkaz:
http://arxiv.org/abs/1908.06184
Publikováno v:
Monatsh. Math. 191, no. 3, 537-576, 2020
We consider r-ramification ultradifferentiable classes, introduced by J. Schmets and M. Valdivia in order to study the surjectivity of the Borel map, and later on also exploited by the authors in the ultraholomorphic context. We characterize quasiana
Externí odkaz:
http://arxiv.org/abs/1904.04947