Results 51 to 60 of about 215 (138)
Generalized N-property and Sard theorem for Sobolev maps
I report on some recent extensions of the Lusin N-property and the Sard theorem for Sobolev maps, which have been obtained in a joint work with M. Csornyei, E. D'Aniello, and B. Kirchheim.
ALBERTI, GIOVANNI
core +1 more source
Lusin type theorems for Radon measures [PDF]
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
openaire +5 more sources
Lifting theorems in nonstandard measure theory
1. A nonstandard capacity construction, analogous to Loeb’s measure construction, is developed. Using this construction and Choquet’s Capacitability theorem, it is proved that a Loeb measurable function into a general (not necessarily second countable ...
David Ross
core +1 more source
A Saito-Tomita-Lusin theorem for JB*-triples and applications
A theorem of Lusin is proved in the non-ordered context of JB*-triples. This is applied to obtain versions of a general transitivity theorem and to deduce refinements of facial structure in closed unit ballls of JB*-triples and ...
Bunce, L. J. +3 more
core
Smooth approximation in weighted Sobolev spaces [PDF]
summary:We give necessary and sufficient conditions for the equality $H=W$ in weighted Sobolev spaces. We also establish a Rellich-Kondrachov compactness theorem as well as a Lusin type approximation by Lipschitz functions in weighted Sobolev ...
Kilpeläinen, T.
core
A geometric approach to second-order differentiability of convex functions
We show a new, elementary and geometric proof of the classical Alexandrov theorem about the second order differentiability of convex functions. We also show new proofs of recent results about Lusin approximation of convex functions and convex bodies by ...
Cappello, Anthony +2 more
core
Invited Talks and TutorialsA Constructive Version of the Lusin Separation Theorem
The Lusin Separation Theorem is one of the fundamental early results of classical descriptive set theory. It states that if A1,A2 are disjoint analytic subsets of Baire space then they are Borel separable. Yiannis Moschovakis gives two proofs in his book,
Krzysztof R. Apt, Peter Aczel
core
The Dirichlet problem for the Jacobian equation in critical and supercritical Sobolev spaces. [PDF]
Guerra A, Koch L, Lindberg S.
europepmc +1 more source
A discrete-to-continuum model of protein complexes. [PDF]
Mariano PM, Bacci M.
europepmc +1 more source
Mean-Field Selective Optimal Control via Transient Leadership. [PDF]
Albi G +3 more
europepmc +1 more source

