Results 31 to 40 of about 327,917 (135)
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 +3 more
wiley +1 more source
Abstract and Applied Analysis, Volume 2016, Issue 1, 2016., 2016 We construct a continuous function f:[0,1]→R such that f possesses N−1‐property, but f does not have approximate derivative on a set of full Lebesgue measure. This shows that Banach’s Theorem concerning differentiability of continuous functions with Lusin’s property (N) does not hold for N−1‐property. Some relevant properties are presented.
Stanisław Kowalczyk +2 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
Explicit Bounds and Sharp Results for the Composition Operators Preserving the Exponential Class
Journal of Function Spaces, Volume 2016, Issue 1, 2016., 2016 Let f:Ω⊂Rn→Rn be a quasiconformal mapping whose Jacobian is denoted by Jf and let EXP(Ω) be the space of exponentially integrable functions on Ω. We give an explicit bound for the norm of the composition operator Tf: u ∈ EXP(Ω) ↦ u∘f−1 ∈ EXP(f(Ω)) and, as a related question, we study the behaviour of the norm of logJf in the exponential class.
Fernando Farroni +2 more
wiley +1 more source
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 +3 more
wiley +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 +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
Carnot rectifiability and Alberti representations
Proceedings of the London Mathematical Society, Volume 130, Issue 1, January 2025.Abstract A metric measure space is said to be Carnot‐rectifiable if it can be covered up to a null set by countably many bi‐Lipschitz images of compact sets of a fixed Carnot group. In this paper, we give several characterisations of such notion of rectifiability both in terms of Alberti representations of the measure and in terms of differentiability ...
G. Antonelli, E. Le Donne, A. Merlo
wiley +1 more source
Bayesian social aggregation with almost‐objective uncertainty
Theoretical Economics, Volume 19, Issue 3, Page 1351-1398, July 2024.We consider collective decisions under uncertainty, when agents have generalized Hurwicz preferences, a broad class allowing many different ambiguity attitudes, including subjective expected utility preferences. We consider sequences of acts that are “almost‐objectively uncertain” in the sense that asymptotically, all agents almost agree about the ...
Marcus Pivato, Élise Flore Tchouante
wiley +1 more source
Weil's converse theorem with poles [PDF]
, 2013 We prove a generalization of the classical converse theorem of Weil, allowing the twists by non-trivial Dirichlet characters to have arbitrary poles.We prove a generalization of the classical converse theorem of Weil, allowing the twists by non-trivial ...
Andrew R. Booker +4 more
core +1 more source