Results 11 to 20 of about 4,279 (247)

Characterization of Lipschitz Spaces via Commutators of Maximal Function on the p-Adic Vector Space

open access: yesJournal 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
doaj   +1 more source

Nonvanishing Preservers and Compact Weighted Composition Operators between Spaces of Lipschitz Functions

open access: yesAbstract 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
doaj   +1 more source

Lipschitz Stability for Non-Instantaneous Impulsive Caputo Fractional Differential Equations with State Dependent Delays

open access: yesAxioms, 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
doaj   +1 more source

Algorithmic Aspects of Lipschitz Functions [PDF]

open access: yesComputability, 2014
We characterize the variation functions of computable Lipschitz functions. We show that a real
Cameron E. Freer   +3 more
openaire   +2 more sources

The Near-Ring of Lipschitz Functions on a Metric Space

open access: yesInternational 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
doaj   +1 more source

Notes on pseudodifferential operators commutators and Lipschitz functions

open access: yesOpen 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
doaj   +1 more source

On Nonsmooth Global Implicit Function Theorems for Locally Lipschitz Functions from Banach Spaces to Euclidean Spaces

open access: yesAbstract and Applied Analysis, 2022
In this paper, we establish a generalization of the Galewski-Rădulescu nonsmooth global implicit function theorem to locally Lipschitz functions defined from infinite dimensional Banach spaces into Euclidean spaces.
Guy Degla   +2 more
doaj   +1 more source

On the experimental investigation of Pareto–Lipschitzian optimization

open access: yesLietuvos Matematikos Rinkinys, 2011
A well-known example of global optimization that provides solutions within fixed error limits is optimization of functions with a known Lipschitz constant. In many real-life problems this constant is unknown.
Jonas Mockus, Justas Stašionis
doaj   +1 more source

Lattices of Lipschitz functions [PDF]

open access: yesPacific Journal of Mathematics, 1994
Let \(M\) be a metric space. We observe that \(\text{Lip}(M)\) has a striking lattice structure: its closed unit ball is lattice-complete and completely distributive. This motivates further study into the lattice structure of \(\text{Lip}(M)\) and its relation to \(M\).
openaire   +2 more sources

Lq-Estimates for stationary Stokes system with coefficients measurable in one direction [PDF]

open access: yesBulletin of Mathematical Sciences, 2019
We study the stationary Stokes system with variable coefficients in the whole space, a half space, and on bounded Lipschitz domains. In the whole and half spaces, we obtain a priori Ẇq1-estimates for any q ∈ [2,∞) when the coefficients are merely ...
Hongjie Dong, Doyoon Kim
doaj   +1 more source

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