Zobrazeno 1 - 10
of 13
pro vyhledávání: '"René Quilodrán"'
Autor:
Diogo Oliveira e Silva, René Quilodrán
Publikováno v:
Forum of Mathematics, Sigma, Vol 9 (2021)
Let $\mathbb {S}^{d-1}$ denote the unit sphere in Euclidean space $\mathbb {R}^d$, $d\geq 2$, equipped with surface measure $\sigma _{d-1}$. An instance of our main result concerns the regularity of solutions of the convolution equation $$\begin{alig
Externí odkaz:
https://doaj.org/article/b3bbeeeae3204bfdb9bc05ab1263bda6
Publikováno v:
Anal. PDE 13, no. 2 (2020), 477-526
We investigate a class of sharp Fourier extension inequalities on the planar curves $s=|y|^p$, $p>1$. We identify the mechanism responsible for the possible loss of compactness of nonnegative extremizing sequences, and prove that extremizers exist if
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9e9d38d5ab86b8fed55c3112900d54b8
https://doi.org/10.2140/apde.2020.13.477
https://doi.org/10.2140/apde.2020.13.477
Autor:
René Quilodrán, Diogo Oliveira e Silva
Publikováno v:
Forum of Mathematics, Sigma. 9
Let $\mathbb {S}^{d-1}$ denote the unit sphere in Euclidean space $\mathbb {R}^d$ , $d\geq 2$ , equipped with surface measure $\sigma _{d-1}$ . An instance of our main result concerns the regularity of solutions of the convolution equation $$\begin{a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c12bae30472b241dd376e17cfb1d9cd1
https://doi.org/10.1017/fms.2021.7
https://doi.org/10.1017/fms.2021.7
Autor:
René Quilodrán, Diogo Oliveira e Silva
Publikováno v:
Transactions of the American Mathematical Society. 370:6871-6907
For an appropriate class of convex functions $\phi$, we study the Fourier extension operator on the surface $\{(y, |y|^2+\phi(y)):y\in\mathbb{R}^2\}$ equipped with projection measure. For the corresponding extension inequality, we compute optimal con
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bc5e2268904d86c2e98993e19b650f97
https://doi.org/10.1090/tran/7223
https://doi.org/10.1090/tran/7223
Autor:
Diego Vigueras Quijada, Álvaro Salgado Quintana, Pablo Farías Nazel, René Quilodrán Ulloa, Manuel Alonso-Dos-Santos
Publikováno v:
Sustainability, Vol 11, Iss 4, p 1079 (2019)
Sustainability
Volume 11
Issue 4
Sustainability
Volume 11
Issue 4
Guideline Daily Amount (GDA) and nutrition tables are the most used front-of-pack (FOP) nutrition labeling schemes in the world
however, they are hard to process considering the nutritional knowledge, effort, and time needed for interpretation.
however, they are hard to process considering the nutritional knowledge, effort, and time needed for interpretation.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::09ff4e25d04a6f2ebe04002a42cf43bd
https://www.mdpi.com/2071-1050/11/4/1079
https://www.mdpi.com/2071-1050/11/4/1079
Autor:
René Quilodrán, Diogo Oliveira e Silva
Publikováno v:
Journal of Functional Analysis. 280:108825
We prove that constant functions are the unique real-valued maximizers for all $L^2-L^{2n}$ adjoint Fourier restriction inequalities on the unit sphere $\mathbb{S}^{d-1}\subset\mathbb{R}^d$, $d\in\{3,4,5,6,7\}$, where $n\geq 3$ is an integer. The pro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6897691e8ea6d1e076801096b4d6403e
https://doi.org/10.1016/j.jfa.2020.108825
https://doi.org/10.1016/j.jfa.2020.108825
Autor:
René Quilodrán, Diogo Oliveira e Silva
We establish the general form of a geometric comparison principle for $n$-fold convolutions of certain singular measures in $\mathbb{R}^d$ which holds for arbitrary $n$ and $d$. This translates into a pointwise inequality between the convolutions of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f3cd0775cce78996e0a5b8068ba00256
http://arxiv.org/abs/1804.10463
http://arxiv.org/abs/1804.10463
Autor:
René Quilodrán
Publikováno v:
Journal d'Analyse Mathématique. 125:37-70
We study the problem of existence of extremizers for the $L^2$ to $L^p$ adjoint Fourier restriction inequalities on the hyperboloid in dimensions 3 and 4, in which cases $p$ is an even integer. We will use the method developed by Foschi to show that
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e74671fe10d9cbade1460f590ee4d9c0
https://doi.org/10.1007/s11854-015-0002-8
https://doi.org/10.1007/s11854-015-0002-8
Autor:
René Quilodrán
Publikováno v:
Journal of the London Mathematical Society. 87:223-246
It is known that extremizers for the $L^2$ to $L^6$ adjoint Fourier restriction inequality on the cone in $\mathbb{R}^3$ exist. Here we show that nonnegative extremizing sequences are precompact, after the application of symmetries of the cone. If we
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::11733a7e821026fd217af716d9aa2a78
https://doi.org/10.1112/jlms/jds046
https://doi.org/10.1112/jlms/jds046
Autor:
René Quilodrán
Publikováno v:
SIAM Journal on Discrete Mathematics. 23:2211-2213
We show that given a collection of $A$ lines in $\mathbb{R}^n$, $n\geq2$, the maximum number of their joints (points incident to at least $n$ lines whose directions form a linearly independent set) is $O(A^{n/(n-1)})$. An analogous result for smooth
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b37a30430b787ccf59255141fdeff5a3
https://doi.org/10.1137/090763160
https://doi.org/10.1137/090763160