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Gaps and Fatou theorems for series in Schauder basis of holomorphic functions
Complex Variables and Elliptic Equations, 2006We prove a gap theorem and the “Fatou change-of-sign theorem” [Fatou, P., 1906, Series trigonometriques e series de Taylor. Acta Mathematica, 39, 335–400] for expansions in common Schauder basis of holomorphic functions.
Lassère, Patrice, Thanh Van, Nguyen
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On Closed Subspaces of Non-Archimedean Nuclear Fréchet Spaces with a Schauder Basis
The Journal of Geometric Analysis, 2013The author continues the study that he started in 2000 about the structure of Fréchet spaces \(E\) over non-Archimedean valued fields. This time he pays attention to closed subspaces of non-Archimedean nuclear Fréchet spaces with a Schauder basis. Let \(\Gamma\) be the family of all non-decreasing unbounded sequences of real positive numbers.
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On the Construction of Sequence Spaces that have Schauder Bases
Canadian Journal of Mathematics, 1966It is known that every Banach space which possesses a Schauder basis is essentially a space of sequences (6, Section 11.4). The primary objectives of this paper are: (1) to illustrate the close connection between sectionally bounded BK spaces and Banach spaces which have a Schauder basis, and (2) to consider some results in these theories in such a way
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Schauder estimates for drifted fractional operators in the supercritical case
Journal of Functional Analysis, 2020Stephane Menozzi, Enrico Priola
exaly
Characterization of Schauder basis property of Gabor systems in local fields
Acta Scientiarum Mathematicarum, 2021Biswaranjan Behera, Nurul Md. Molla
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Schauder estimates for nonlocal kinetic equations and applications
Journal Des Mathematiques Pures Et Appliquees, 2020Zimo Hao, Mingyan Wu, Xicheng Zhang
exaly
Schauder estimates for a class of non-local elliptic equations
Discrete and Continuous Dynamical Systems, 2013Hongjie Dong, Doyoon Kim
exaly

