Results 11 to 20 of about 76 (75)

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.
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On Dahlberg’s Lusin area integral theorem [PDF]

Proceedings of the American Mathematical Society, 1995
We give new proofs to the Lusin area integral theorem of Dahlberg. Our techniques rely on the theory of elliptic boundary value problems on nonsmooth domains and are shown to extend to other important cases, including systems of equations.
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Lusin's Theorem and Bochner Integration

, 2004
To appear in Scientiae Mathematicae ...
Loeb, Peter A., Talvila, Erik
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A lusin type theorem for gradients

Journal of Functional Analysis, 1991
The main result of the paper is the following: Theorem 1. Let \(\Omega\) be an open subset of \(\mathbb{R}^ N\) (\(N>1\)) with finite measure, and let \(f: \Omega\to\mathbb{R}^ N\) be a Borel function. Then, for every \(\varepsilon>0\), there exist an open set \(A\subset\Omega\) and a function \(u\in{\mathcal C}_ 0^ 1(\Omega)\) such that \(| A|\leq ...
openaire   +2 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

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