Results 41 to 50 of about 339,707 (116)
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
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A Proof of Smarandache-Pătraşcu’s Theorem using Barycentric Coordinates [PDF]
, 2010 Proving the Smarandache–Pătraşcu’s Theorem in relation to the inscribed orthohomological triangles using the barycentric ...
Coandă, Claudiu
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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
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The Lusin Theorem and Horizontal Graphs in the Heisenberg Group
Analysis and Geometry in Metric Spaces, 2013 Abstract In this paper we prove that every collection of measurable functions fα , |α| = m, coincides a.e. withmth order derivatives of a function g ∈ Cm−1 whose derivatives of order m − 1 may have any modulus of continuity weaker than that of a Lipschitz function.
Hajłasz Piotr, Mirra Jacob
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A Quantitative Lusin Theorem for Functions in BV [PDF]
, 2015 We extend to the BV case a measure theoretic lemma previously proved by DiBenedetto et al. (Atti Accad. Naz. Lincei Cl. Sci. Mat. Appl. 9, 223–225, 2006) in W loc 1, 1. It states that if the set where u is positive occupies a sizable portion of an open set E then the set where u is positive clusters about at least one point of E. In this note we follow
Telcs, Andras, VESPRI, VINCENZO
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On the local-indicability cohen–lyndon theorem
, 2011 For a group H and a subset X of H, we let HX denote the set {hxh?1 | h ? H, x ? X}, and when X is a free-generating set of H, we say that the set HX is a Whitehead subset of H. For a group F and an element r of F, we say that r is Cohen–Lyndon aspherical
Antolin, Yago +5 more
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The Malgrange-Ehrenpreis Theorem [PDF]
, 2012 This paper collect of some proofs of the Malgrange-Ehrenpreis Theorem, which asserts the existence of fundamental solutions of linear partial differential operator with constant coefficients.Ribera Puchades, JM. (2011).
Ribera Puchades, Juan Miguel
core
Lusin type theorems for Radon measures [PDF]
Rendiconti del Seminario Matematico della Università di Padova, 2017 We add to the literature the following observation. If \mu is a singular measure on \mathbb{R}^n which assigns measure zero to every porous set and
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ON LUSIN'S THEOREM IN THE ASPECT OF SMALL SYSTEMS
Demonstratio Mathematica, 1995 Let \(S\) be a \(\sigma\)-algebra of subsets of a set \(X\). By a small system a sequence of families \((N_n)_n\subset S\) satisfying some axioms is understood. If \(m\) is a positive measure, then the family \(N_n\) of all sets of a measure less than \(1/n\) can serve as an example.
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The Lusin-Privalov theorem for subharmonic functions [PDF]
Proceedings of the American Mathematical Society, 1996 This paper establishes a generalization of the Lusin-Privalov radial uniqueness theorem which applies to subharmonic functions in all dimensions. In particular, it answers a question of Rippon by showing that no subharmonic function on the upper half-space can have normal limit
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