Results 21 to 30 of about 9,704 (289)
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
doaj +1 more source
Meagerness of Lipschitz Functions
, 2021 We show that the class of Lipschitz real-valued functions on a compact set $K$ in $\mathbb{R}$ is meager in $C(K)$ with respect to the supremum metric. As these Lipschitz functions are dense in $C(K)$, this result complements the classical surprising ...
Yu-Lin Chou
core +1 more source
Bornologies and locally lipschitz functions
, 2014 Let hX, di be a metric space. We characterise the family of subsets of X on which each locally Lipschitz function defined on X is bounded, as well as the family of subsets on which each member of two different subfamilies consisting of uniformly locally ...
Garrido Carballo, María Isabel
core +2 more sources
Abstract 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
Lattices of Lipschitz functions [PDF]
Pacific 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
On the experimental investigation of Pareto–Lipschitzian optimization
Lietuvos 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
Lq-Estimates for stationary Stokes system with coefficients measurable in one direction [PDF]
Bulletin 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
Lipschitz functions on quasiconformal trees
Fundamenta Mathematicae, 2023 55 pages. Incorporated comments from referee, in particular a new, more restrictive definition of geometric tree-like decompositions is ...
Freeman, David, Gartland, Chris
openaire +2 more sources
Lipschitz Image of Lipschitz Functions
Real Analysis Exchange, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Lipschitz and bi-Lipschitz Functions
Revista Matemática Iberoamericana, 1988 Let \(f\) be a Lipschitz mapping of a unit cube \(Q_ 0\subset\mathbb{R}^ n\) into \(\mathbb{R}^ m\). The author proves that for each \(\delta>0\) there exist \(M\in\mathbb{R}\) and sets \(K_ 1,\dots,K_ M\subset Q_ 0\) such that the Hausdorff content of \(f\Bigl(Q_ 0\backslash \bigcup^ M_{j=1} K_ j\Bigr)\) is less than \(\delta\) and \(| f(x)- f(y)|
openaire +2 more sources