Results 31 to 40 of about 339,707 (116)

Finite distortion curves: Continuity, Differentiability and Lusin's (N) property

, 2022
We define finite distortion $\omega$-curves and we show that for some forms $\omega$ and when the distortion function is sufficiently exponentially integrable the map is continuous, differentiable almost everywhere and has Lusin's (N) property.
Tsantaris, Athanasios, Hitruhin, Lauri
core  

Littlewood, Paley and almost‐orthogonality: a theory well ahead of its time

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract The classic paper by Littlewood and Paley [J. Lond. Math. Soc. (1), 6 (1931), 230–233] marked the birth of Littlewood–Paley theory. We discuss this paper and its impact from a historical perspective, include an outline of the results in the paper and their subsequent significance in relation to developments over the last century, and set them ...
Anthony Carbery
wiley   +1 more source

The Lipschitz truncation of functions of bounded variation [PDF]

, 2019
We construct a Lipschitz truncation which approximates functions of bounded variation in the area-strict metric. The Lipschitz truncation changes the original function only on a small set similar to Lusin's theorem.
Breit, Dominic, Diening, Lars, Gmeineder, Franz   +2 more
core  

A quantitative Chevalley-Weil theorem for curves [PDF]

, 2013
The classical Chevalley-Weil theorem asserts that for an étale covering  of projective varieties over a number field $K$, the discriminant of the field of definition of the fiber over a $K$-rational point is uniformly bounded.
Surroca, Andrea, Strambi, Marco, Bilu, Yuri   +2 more
core   +1 more source

Exactness and the topology of the space of invariant random equivalence relations

Proceedings of the London Mathematical Society, Volume 132, Issue 5, May 2026.
Abstract We characterize exactness of a countable group Γ$\Gamma$ in terms of invariant random equivalence relations (IREs) on Γ$\Gamma$. Specifically, we show that Γ$\Gamma$ is exact if and only if every weak limit of finite IREs is an amenable IRE.
Héctor Jardón‐Sánchez, Sam Mellick, Antoine Poulin, Konrad Wróbel   +3 more
wiley   +1 more source

A Choquet theory of Lipschitz‐free spaces

Proceedings of the London Mathematical Society, Volume 132, Issue 2, February 2026.
Abstract Let (M,d)$(M,d)$ be a complete metric space and let F(M)$\mathcal {F}({M})$ denote the Lipschitz‐free space over M$M$. We develop a ‘Choquet theory of Lipschitz‐free spaces’ that draws from the classical Choquet theory and the De Leeuw representation of elements of F(M)$\mathcal {F}({M})$ (and its bi‐dual) by positive Radon measures on βM ...
Richard J. Smith
wiley   +1 more source

Approximate Limit, Approximate Derivative, and Approximate Integral for Fuzzy‐Number‐Valued Functions

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper introduces the concepts of approximate limit, approximate continuity, and approximate derivatives for fuzzy‐number‐valued functions and examines their fundamental properties. Also, the relationships between approximate limit, approximate derivative of fuzzy‐number‐valued functions, and their representations of λ‐level sets are investigated ...
Chao Ma, Zengtai Gong, Yabin Shao, Ömer Kişi   +3 more
wiley   +1 more source

Lusin's condition (N) for the space mappings W^[1,n ] under analytic assumptions

, 2003
In this paper we give a sufficient analytic condition in order that a mapping belonging in Sobolev space W^[1,n] satisfies Lusin's condition ...
VAN DER PUTTEN, ROBERTUS
core   +1 more source

Second‐order regularity for degenerate p$p$‐Laplace type equations with log‐concave weights

Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.
Abstract We consider weighted p$p$‐Laplace type equations with homogeneous Neumann boundary conditions in convex domains, where the weight is a log‐concave function which may degenerate at the boundary. In the case of bounded domains, we provide sharp global second‐order estimates. For unbounded domains, we prove local estimates at the boundary.
Carlo Alberto Antonini, Giulio Ciraolo, Francesco Pagliarin   +2 more
wiley   +1 more source

Monotone versus non‐monotone projective operators

Bulletin of the London Mathematical Society, Volume 57, Issue 1, Page 256-264, January 2025.
Abstract For a class of operators Γ$\Gamma$, let |Γ|$|\Gamma |$ denote the closure ordinal of Γ$\Gamma$‐inductive definitions. We give upper bounds on the values of |Σ2n+11,mon|$|\Sigma ^{1,mon}_{2n+1}|$ and |Π2n+21,mon|$|\Pi ^{1,mon}_{2n+2}|$ under the assumption that all projective sets of reals are determined, significantly improving the known ...
J. P. Aguilera, P. D. Welch
wiley   +1 more source