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Bi-Lipschitz Characterization of Space Curves
In the paper Targino (Outer Lipschitz Geometry of Complex Algebraic Plane Curves. International Mathematics Research Notices, rnac202.
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Characterization of Lipschitz Functions on Ball Banach Function Spaces
Our goal is to characterize the Lipschitz functions by ball Banach function space. We give some necessary and sufficient conditions of the...
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Characterization of Lipschitz Space via the Commutators of Fractional Maximal Functions on Variable Lebesgue Spaces
We obtain some new characterizations of a variable version of Lipschitz spaces in terms of the boundedness of commutators of sharp maximal functions,...
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Non-Linear Operators and Differentiability of Lipschitz Functions
In this work we provide a characterization of distinct types of (linear and non-linear) maps between Banach spaces in terms of the differentiability...
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On Lipschitz Normally Embedded Singularities
Any subanalytic germ \((X,0) \subset ( {\mathbb R}^n,0)\) is equipped...
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Regularity Property of Some Operators on Lipschitz Spaces and Homogeneous Lipschitz Spaces Associated with Biharmonic Operator
In this paper, we consider the characterizations of the Lipschitz spaces and homogeneous Lipschitz spaces associated with the biharmonic operator
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Factorization of two-Lipschitz integral operators
We study the integrability and S -factorizability of two-Lipschitz operators between pointed metric spaces and Banach spaces. We also introduce a...
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On extreme points and representer theorems for the Lipschitz unit ball on finite metric spaces
In this note, we provide a characterization for the set of extreme points of the Lipschitz unit ball in a specific vectorial setting. While the...
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Lipschitz-free spaces
This chapter presents only some basic facts about Banach spaces of Lipschitz functions and its natural preduals, the so-called Arens–Eells (or, under...
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Lipschitz-Type Characterizations of Musielak–Orlicz-Campanato Spaces
In this paper, the authors establish a Lipschitz-type characteriztion for Musielak–Orlicz-Campanato spaces. As applications, since pointwise...
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A Universal Inequality for Stability of Coarse Lipschitz Embeddings
Let X and Y be two pointed metric spaces. In this article, we give a generalization of the Cheng–Dong–Zhang theorem for coarse Lipschitz embeddings...
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A Bakry-Émery Approach to Lipschitz Transportation on Manifolds
On weighted Riemannian manifolds we prove the existence of globally Lipschitz transport maps between the weight (probability) measure and...
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Operators with the Lipschitz bounded approximation property
We show that if a bounded linear operator can be approximated by a net (or sequence) of uniformly bounded finite rank Lipschitz map**s pointwisely,...
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Fredholm Weighted Composition Operators Between Lipschitz Algebras
Let X and Y be (not necessarily compact) metric spaces. We provide a complete description of Fredholm weighted composition operators between...
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Approximation of Almost Diagonal Non-linear Maps by Lattice Lipschitz Operators
Lattice Lipschitz operators define a new class of nonlinear Banach-lattice-valued maps that can be written as diagonal functions with respect to a...
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The generic equivalence among the Lipschitz saturations of a sheaf of modules
In this work, we extend the concept of the Lipschitz saturation of an ideal to the context of modules in some different ways, and we prove they are...
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Modified Inertial Projection Method for Solving Pseudomonotone Variational Inequalities with Non-Lipschitz in Hilbert Spaces
This paper deals with a class of inertial gradient projection methods for solving a variational inequality problem involving pseudomonotone and...