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Lipschitz continuous points of functions on an interval
Examples and CounterexamplesIn this paper, we address the problem of finding functions with predetermined Lipschitz continuous points. More precisely, given A⊆[0,1], we are interested in the existence of function f:[0,1]→R which is Lipschitz continuous exactly on A.
Zhekai Shen
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McShane-Whitney extensions in constructive analysis [PDF]
Logical Methods in Computer Science, 2020 Within Bishop-style constructive mathematics we study the classical McShane-Whitney theorem on the extendability of real-valued Lipschitz functions defined on a subset of a metric space.
Iosif Petrakis
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Lipschitz symmetric functions on Banach spaces with symmetric bases
Karpatsʹkì Matematičnì Publìkacìï, 2021 We investigate Lipschitz symmetric functions on a Banach space $X$ with a symmetric basis. We consider power symmetric polynomials on $\ell_1$ and show that they are Lipschitz on the unbounded subset consisting of vectors $x\in \ell_1$ such that $|x_n ...
M.V. Martsinkiv +3 more
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Approximate tri-quadratic functional equations via Lipschitz conditions [PDF]
Mathematica Bohemica, 2017 In this paper, we consider Lipschitz conditions for tri-quadratic functional equations. We introduce a new notion similar to that of the left invariant mean and prove that a family of functions with this property can be approximated by tri-quadratic ...
Ismail Nikoufar
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Linearization of Lipschitz-polynomial and Lipschitz-analytic mappings
Karpatsʹkì Matematičnì Publìkacìï, 2013 We introduce and study Lipschitz-analytic and Lipcshitz-polynomial functions, analogues of tensor and symmetric tensor products of metric spaces.
M. V. Dubei, A. V. Zagorodnyuk
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Notes on pseudodifferential operators commutators and Lipschitz functions
Open Mathematics, 2023 This article focuses on the boundedness of the commutators generated by pseudodifferential operators with Lipschitz functions and obtains a sufficient condition such that these operators are bounded from Lp(Rn){L}^{p}\left({{\bf{R}}}^{n}) into the ...
Deng Yu-long
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Abstract and Applied Analysis, 2013 We will give the -Lipschitz version of the Banach-Stone type theorems for lattice-valued -Lipschitz functions on some metric spaces. In particular, when and are bounded metric spaces, if is a nonvanishing preserver, then is a weighted composition ...
Dongyang Chen +3 more
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Axioms, 2018 In this paper, we study Lipschitz stability of Caputo fractional differential equations with non-instantaneous impulses and state dependent delays. The study is based on Lyapunov functions and the Razumikhin technique. Our equations in particular include
Ravi Agarwal +2 more
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The Near-Ring of Lipschitz Functions on a Metric Space
International Journal of Mathematics and Mathematical Sciences, 2010 This paper treats near-rings of zero-preserving Lipschitz functions on metric spaces that are also abelian groups, using pointwise addition of functions as addition and composition of functions as multiplication.
Mark Farag, Brink van der Merwe
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Characterization of Lipschitz Spaces via Commutators of Maximal Function on the p-Adic Vector Space
Journal of Mathematics, 2022 In this paper, we give characterization of a p-adic version of Lipschitz spaces in terms of the boundedness of commutators of maximal function in the context of the p-adic version of Lebesgue spaces and Morrey spaces, where the symbols of the commutators
Qianjun He, Xiang Li
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