Results 31 to 40 of about 215 (138)

Dynamic games with (almost) perfect information

Theoretical Economics, Volume 15, Issue 2, Page 811-859, May 2020., 2020
This paper aims to solve two fundamental problems on finite‐ or infinite‐horizon dynamic games with complete information. Under some mild conditions, we prove the existence of subgame‐perfect equilibria and the upper hemicontinuity of equilibrium payoffs in general dynamic games with simultaneous moves (i.e., almost perfect information), which go ...
Wei He, Yeneng Sun
wiley   +1 more source

Egoroff’s Theorem and Lusin’s Theorem for Capacities in the Framework of g‐Expectation

Mathematical Problems in Engineering, Volume 2020, Issue 1, 2020., 2020
In the classical real analysis theory, Egoroff’s theorem and Lusin’s theorem are two of the most important theorems. The σ‐additivity of measures plays a crucial role in the proofs of these theorems. Later, many researchers have carried out lots of studies on Egoroff’s theorem and Lusin’s theorem when the measure is monotone and nonadditive (see, e.g.,
Zhaojun Zong, Feng Hu, Xiaoxin Tian, Wenguang Yu   +3 more
wiley   +1 more source

Lusin’s theorem for derivatives with respect to a continuous function [PDF]

Proceedings of the American Mathematical Society, 1999
For a nowhere constant continuous function g g on a real interval
AVERSA, VINCENZO LIBERO, PREISS D.
openaire   +3 more sources

Lusin's Theorem and Bochner Integration

, 2004
To appear in Scientiae Mathematicae ...
Loeb, Peter A., Talvila, Erik
openaire   +3 more sources

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

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

On the Property N−1

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, Małgorzata Turowska, Feliz Minhós   +2 more
wiley   +1 more source

Computability on the Countable Ordinals and the Hausdorff-Kuratowski Theorem (Extended Abstract) [PDF]

, 2015
While there is a well-established notion of what a computable ordinal is, the question which functions on the countable ordinals ought to be computable has received less attention so far.
Arno Pauly
core   +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