49 citations · 164 across the 26 of their papers we have counts for
33 papers
Quantitative -Convergence: A Variational Extrapolation Framework
Oscar Dominguez, Mario Milman
This paper introduces a new extrapolation framework within the Calculus of Variations. We develop a robust quantitative theory of the -convergence approach of De Giorgi by combi…
A sharp stability criterion for Euler equations via sparseness
Óscar Domínguez, Mario Milman
We introduce sparse versions of function spaces that are relevant to characterize the solutions of Euler equations without concentration. The standard Sobolev space is giv…
Uniqueness for 2D Euler and transport equations via extrapolation
Oscar Dominguez, Mario Milman
Using extrapolation theory, we develop a new framework to prove the uniqueness of solutions for transport equations. We apply our methodology to unify and extend the classical resu…
Bourgain-Brezis-Mironescu-Maz'ya-Shaposhnikova limit formulae for fractional Sobolev spaces via interpolation and extrapolation
Oscar Domínguez, Mario Milman
The real interpolation spaces between and (resp. ), are characterized in terms of fra…
Majorization revisited: Comparison of norms in interpolation scales
Sergey V. Astashkin, Konstantin V. Lykov, Mario Milman
We reformulate, modify and extend a comparison criteria of norms obtained by Nazarov-Podkorytov and place it in the general setting of interpolation theory and majorization…
Sparse Brudnyi and John-Nirenberg Spaces
Óscar Domínguez, Mario Milman
A generalization of the theory of Y. Brudnyi \cite{yuri}, and A. and Y. Brudnyi \cite{BB20a}, \cite{BB20b}, is presented. Our construction connects Brudnyi's theory, which relies o…