Results 1 to 10 of about 337,654 (135)

On Banach and Kuratowski Theorem, K-Lusin sets and strong sequences

open access: yesOpen Mathematics, 2018
In 2003 Bartoszyński and Halbeisen published the results on various equivalences of Kuratowski and Banach theorem from 1929 concerning some aspect of measure theory.
Joanna Jureczko
exaly   +3 more sources

Lusin-type Theorems for Cheeger Derivatives on Metric Measure Spaces

open access: yesAnalysis and Geometry in Metric Spaces, 2015
A theorem of Lusin states that every Borel function onRis equal almost everywhere to the derivative of a continuous function. This result was later generalized to Rn in works of Alberti and Moonens-Pfeffer.
Guy C David
exaly   +3 more sources

The Lusin Theorem and Horizontal Graphs in the Heisenberg Group

open access: yesAnalysis and Geometry in Metric Spaces, 2013
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 ...
Hajłasz Piotr, Mirra Jacob
doaj   +5 more sources

On the double Lusin condition and convergence theorem for Kurzweil-Henstock type integrals [PDF]

open access: yesMathematica Bohemica, 2016
Equiintegrability in a compact interval $E$ may be defined as a uniform integrability property that involves both the integrand $f_n$ and the corresponding primitive $F_n$.
Abraham Racca, Emmanuel Cabral
doaj   +2 more sources

Normal bundle and Almgren’s geometric inequality for singular varieties of bounded mean curvature [PDF]

open access: yesBulletin of Mathematical Sciences, 2020
In this paper we deal with a class of varieties of bounded mean curvature in the viscosity sense that has the remarkable property to contain the blow up sets of all sequences of varifolds whose mean curvatures are uniformly bounded and whose boundaries ...
Mario Santilli
doaj   +1 more source

A discrete-to-continuum model of protein complexes. [PDF]

open access: yesBiomech Model Mechanobiol, 2022
Mariano PM, Bacci M.
europepmc   +1 more source

A surprising formula for Sobolev norms. [PDF]

open access: yesProc Natl Acad Sci U S A, 2021
Brezis H, Van Schaftingen J, Yung PL.
europepmc   +1 more source

Mean-Field Selective Optimal Control via Transient Leadership. [PDF]

open access: yesAppl Math Optim, 2022
Albi G   +3 more
europepmc   +1 more source

Energy Minimisers with Prescribed Jacobian. [PDF]

open access: yesArch Ration Mech Anal, 2021
Guerra A, Koch L, Lindberg S.
europepmc   +1 more source

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