Zobrazeno 1 - 10
of 163
pro vyhledávání: '"Milman, Mario"'
Autor:
Domínguez, Óscar, Milman, Mario
Publikováno v:
Comptes Rendus. Mathématique, Vol 359, Iss 8, Pp 1059-1069 (2021)
A generalization of the theory of Y. Brudnyi [7], and A. and Y. Brudnyi [5, 6], is presented. Our construction connects Brudnyi’s theory, which relies on local polynomial approximation, with new results on sparse domination. In particular, we find
Externí odkaz:
https://doaj.org/article/921e3b3c78d649fc8188a1e6edd5e7cc
Autor:
Domínguez, Óscar, Milman, Mario
We introduce sparse versions of function spaces that are relevant to characterize the solutions of Euler equations without concentration. The standard Sobolev space $H^{-1}$ is given a sparse structure that allows to measure the degree of compactness
Externí odkaz:
http://arxiv.org/abs/2310.19659
Autor:
Dominguez, Oscar, Milman, Mario
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 results of Yudovich and Vishik for 2D Euler equations. In particular, we e
Externí odkaz:
http://arxiv.org/abs/2306.08082
Autor:
Domínguez, Oscar, Milman, Mario
The real interpolation spaces between $L^{p}({\mathbb{R}}^{n})$ and $\dot {H}^{t,p}({\mathbb{R}}^{n})$ (resp. $H^{t,p}({\mathbb{R}}^{n})$), $t>0,$ are characterized in terms of fractional moduli of smoothness, and the underlying seminorms are shown t
Externí odkaz:
http://arxiv.org/abs/2111.06297
We reformulate, modify and extend a comparison criteria of $L^{p}$ norms obtained by Nazarov-Podkorytov and place it in the general setting of interpolation theory and majorization theory. In particular, we give norm comparison criteria for general s
Externí odkaz:
http://arxiv.org/abs/2107.11854
Autor:
Dominguez, Oscar, Milman, Mario
Motivated by the recent characterization of Sobolev spaces due to Brezis-Van Schaftingen-Yung we prove new weak-type inequalities for one parameter families of operators connected with mixed norm inequalities. The novelty here comes from the fact tha
Externí odkaz:
http://arxiv.org/abs/2010.15873
Autor:
Astashkin, Sergey, Milman, Mario
We discuss some aspects of Extrapolation theory. The presentation includes many examples and open problems.
Comment: 54 pages
Comment: 54 pages
Externí odkaz:
http://arxiv.org/abs/2004.03655
Autor:
Corvalán, Alvaro, Milman, Mario
Extending results in \cite{M} and \cite{MM} we characterize the classical classes of weights that satisfy reverse H\"{o}lder inequalities in terms of indices of suitable families of $K-$functionals of the weights. In particular, we introduce a Samko
Externí odkaz:
http://arxiv.org/abs/1907.11327
Autor:
Milman, Mario
We provide a precise statement and self contained proof of a Sobolev inequality (cf. [A, page 236 and page 237]) stated in the original paper. Higher order and fractional inequalities are treated as well.
Comment: 12 pages
Comment: 12 pages
Externí odkaz:
http://arxiv.org/abs/1806.08275
We give a complete characterization of limiting interpolation spa\-ces for the real method of interpolation using extrapolation theory. For this purpose the usual tools (e.g., Boyd indices or the boundedness of Hardy type operators) are not appropria
Externí odkaz:
http://arxiv.org/abs/1803.10659