Zobrazeno 1 - 10
of 441
pro vyhledávání: '"Dominguez, Oscar"'
Autor:
Domínguez, Oscar, Spector, Daniel
A central question which originates in the celebrated work in the 1980's of DiPerna and Majda asks what is the optimal decay $f > 0$ such that uniform rates $|\omega|(Q) \leq f(|Q|)$ of the vorticity maximal functions guarantee strong convergence wit
Externí odkaz:
http://arxiv.org/abs/2409.02344
We extend the affine inequalities on $\mathbb{R}^n$ for Sobolev functions in $W^{s,p}$ with $1 \leq p < n/s$ obtained recently by Haddad-Ludwig [16, 17] to the remaining range $p \geq n/s$. For each value of $s$, our results are stronger than affine
Externí odkaz:
http://arxiv.org/abs/2405.07329
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
In this paper we obtain new quantitative estimates that improve the classical inequalities: Poincar\'e-Ponce, Gaussian Sobolev, and John-Nirenberg. Our method is based on the K-functionals and allows one to derive self-improving type inequalities. We
Externí odkaz:
http://arxiv.org/abs/2309.02597
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, Tikhonov, Sergey
We introduce truncated Besov and Triebel--Lizorkin function spaces and investigate their main properties: embeddings, interpolation, duality, lifting, traces. These new scales allow us to improve several known results in functional analysis and PDE's
Externí odkaz:
http://arxiv.org/abs/2211.01529
Autor:
Thomas, Elina, Juliano, Anthony, Owens, Max, Cupertino, Renata B., Mackey, Scott, Hermosillo, Robert, Miranda-Dominguez, Oscar, Conan, Greg, Ahmed, Moosa, Fair, Damien A., Graham, Alice M., Goode, Nicholas J., Kandjoze, Uapingena P., Potter, Alexi, Garavan, Hugh, Albaugh, Matthew D.
Publikováno v:
In Psychiatry Research: Neuroimaging October 2024 344
Autor:
Holt-Gosselin, Bailey, Keding, Taylor J., Rodrigues, Kathryn, Rueter, Amanda, Hendrickson, Timothy J., Perrone, Anders, Byington, Nora, Houghton, Audrey, Miranda-Dominguez, Oscar, Feczko, Eric, Fair, Damien A., Joormann, Jutta, Gee, Dylan G.
Publikováno v:
In Developmental Cognitive Neuroscience August 2024 68
Publikováno v:
Journal of Functional Analysis, 284 (2023), no.4, 109775
We study fractional variants of the quasi-norms introduced by Brezis, Van Schaftingen, and Yung in the study of the Sobolev space $\dot W^{1,p}$. The resulting spaces are identified as a special class of real interpolation spaces of Sobolev-Slobodeck
Externí odkaz:
http://arxiv.org/abs/2112.05539
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