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Spans of translates in weighted $ell^p$ spaces 在加权$ell^p$空格中转换的跨度
IF 1.2 2区 数学
Revista Matematica Iberoamericana Pub Date : 2023-01-26 DOI: 10.4171/rmi/1414
K. Kellay, Florian Le Manach, M. Zarrabi
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引用次数: 0
On complete hypersurfaces with negative Ricci curvature in Euclidean spaces 欧氏空间中具有负Ricci曲率的完备超曲面
IF 1.2 2区 数学
Revista Matematica Iberoamericana Pub Date : 2023-01-24 DOI: 10.4171/rmi/1407
A. P. Barreto, F. Fontenele
{"title":"On complete hypersurfaces with negative Ricci curvature in Euclidean spaces","authors":"A. P. Barreto, F. Fontenele","doi":"10.4171/rmi/1407","DOIUrl":"https://doi.org/10.4171/rmi/1407","url":null,"abstract":"","PeriodicalId":49604,"journal":{"name":"Revista Matematica Iberoamericana","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46016995","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Amenability and acyclicity in bounded cohomology 有界上同调中的可调和性和非循环性
IF 1.2 2区 数学
Revista Matematica Iberoamericana Pub Date : 2023-01-20 DOI: 10.4171/rmi/1406
M. Moraschini, G. Raptis
{"title":"Amenability and acyclicity in bounded cohomology","authors":"M. Moraschini, G. Raptis","doi":"10.4171/rmi/1406","DOIUrl":"https://doi.org/10.4171/rmi/1406","url":null,"abstract":"","PeriodicalId":49604,"journal":{"name":"Revista Matematica Iberoamericana","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47824295","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Partial differential equations from matrices with orthogonal columns 正交列矩阵的偏微分方程
IF 1.2 2区 数学
Revista Matematica Iberoamericana Pub Date : 2023-01-05 DOI: 10.4171/rmi/1405
D. Martínez Torres
{"title":"Partial differential equations from matrices with orthogonal columns","authors":"D. Martínez Torres","doi":"10.4171/rmi/1405","DOIUrl":"https://doi.org/10.4171/rmi/1405","url":null,"abstract":"We discuss a system of third order PDEs for strictly convex smooth functions on domains of Euclidean space. We argue that it may be understood as a closure of sorts of the first order prolongation of a family of second order PDEs. We describe explicitly its real analytic solutions and all the solutions which satisfy a genericity condition; we also describe a family of non-generic solutions which has an application to Poisson geometry and Kahler structures on toric varieties. Our methods are geometric: we use the theory of Hessian metrics and symmetric spaces to link the analysis of the system of PDEs with properties of the manifold of matrices with orthogonal columns.","PeriodicalId":49604,"journal":{"name":"Revista Matematica Iberoamericana","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-01-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45052674","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Function theoretic characterizations of Weil–Petersson curves Weil-Petersson曲线的函数理论表征
IF 1.2 2区 数学
Revista Matematica Iberoamericana Pub Date : 2022-12-22 DOI: 10.4171/rmi/1398
C. Bishop
{"title":"Function theoretic characterizations of Weil–Petersson curves","authors":"C. Bishop","doi":"10.4171/rmi/1398","DOIUrl":"https://doi.org/10.4171/rmi/1398","url":null,"abstract":"","PeriodicalId":49604,"journal":{"name":"Revista Matematica Iberoamericana","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2022-12-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48252800","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 12
The large sieve with prime moduli 具有质模量的大筛
IF 1.2 2区 数学
Revista Matematica Iberoamericana Pub Date : 2022-12-22 DOI: 10.4171/rmi/1381
H. Iwaniec
{"title":"The large sieve with prime moduli","authors":"H. Iwaniec","doi":"10.4171/rmi/1381","DOIUrl":"https://doi.org/10.4171/rmi/1381","url":null,"abstract":"","PeriodicalId":49604,"journal":{"name":"Revista Matematica Iberoamericana","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2022-12-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45472761","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A property of ideals of jets of functions vanishing on a set 函数射流在集合上消失的理想的一个性质
IF 1.2 2区 数学
Revista Matematica Iberoamericana Pub Date : 2022-10-17 DOI: 10.4171/rmi/1423
C. Fefferman, Ary Shaviv
{"title":"A property of ideals of jets of functions vanishing on a set","authors":"C. Fefferman, Ary Shaviv","doi":"10.4171/rmi/1423","DOIUrl":"https://doi.org/10.4171/rmi/1423","url":null,"abstract":"For a set $Esubsetmathbb{R}^n$ that contains the origin we consider $I^m(E)$ -- the set of all $m^{text{th}}$ degree Taylor approximations (at the origin) of $C^m$ functions on $mathbb{R}^n$ that vanish on $E$. This set is an ideal in $mathcal{P}^m(mathbb{R}^n)$ -- the ring of all $m^{text{th}}$ degree Taylor approximations of $C^m$ functions on $mathbb{R}^n$. Which ideals in $mathcal{P}^m(mathbb{R}^n)$ arise as $I^m(E)$ for some $E$? In this paper we introduce the notion of a textit{closed} ideal in $mathcal{P}^m(mathbb{R}^n)$, and prove that any ideal of the form $I^m(E)$ is closed. We do not know whether in general any closed ideal is of the form $I^m(E)$ for some $E$, however we prove in [FS] that all closed ideals in $mathcal{P}^m(mathbb{R}^n)$ arise as $I^m(E)$ when $m+nleq5$.","PeriodicalId":49604,"journal":{"name":"Revista Matematica Iberoamericana","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2022-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47484711","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Keller and Lieb–Thirring estimates of the eigenvalues in the gap of Dirac operators Dirac算子间隙中本征值的Keller和Lieb–Thirring估计
IF 1.2 2区 数学
Revista Matematica Iberoamericana Pub Date : 2022-10-06 DOI: 10.4171/rmi/1443
J. Dolbeault, D. Gontier, Fabio Pizzichillo, H. Bosch
{"title":"Keller and Lieb–Thirring estimates of the eigenvalues in the gap of Dirac operators","authors":"J. Dolbeault, D. Gontier, Fabio Pizzichillo, H. Bosch","doi":"10.4171/rmi/1443","DOIUrl":"https://doi.org/10.4171/rmi/1443","url":null,"abstract":"We estimate the lowest eigenvalue in the gap of the essential spectrum of a Dirac operator with mass in terms of a Lebesgue norm of the potential. Such a bound is the counterpart for Dirac operators of the Keller estimates for the Schr\"odinger operator, which are equivalent to Gagliardo-Nirenberg-Sobolev interpolation inequalities. Domain, self-adjointness, optimality and critical values of the norms are addressed, while the optimal potential is given by a Dirac equation with a Kerr nonlinearity. A new critical bound appears, which is the smallest value of the norm of the potential for which eigenvalues may reach the bottom of the gap in the essential spectrum. The Keller estimate is then extended to a Lieb-Thirring inequality for the eigenvalues in the gap. Most of our result are established in the Birman-Schwinger reformulation.","PeriodicalId":49604,"journal":{"name":"Revista Matematica Iberoamericana","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2022-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46182551","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Contractive inequalities between Dirichlet and Hardy spaces Dirichlet空间与Hardy空间之间的压缩不等式
IF 1.2 2区 数学
Revista Matematica Iberoamericana Pub Date : 2022-09-28 DOI: 10.4171/RMI/1418
A. Llinares
{"title":"Contractive inequalities between Dirichlet and Hardy spaces","authors":"A. Llinares","doi":"10.4171/RMI/1418","DOIUrl":"https://doi.org/10.4171/RMI/1418","url":null,"abstract":"We prove a conjecture of Brevig, Ortega-Cerd`a, Seip and Zhao about contractive inequalities between Dirichlet and Hardy spaces and discuss its consequent connection with the Riesz projection.","PeriodicalId":49604,"journal":{"name":"Revista Matematica Iberoamericana","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2022-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46864008","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Tensorization of quasi-Hilbertian Sobolev spaces 拟hilbertian Sobolev空间的张紧化
IF 1.2 2区 数学
Revista Matematica Iberoamericana Pub Date : 2022-09-07 DOI: 10.4171/rmi/1433
S. Eriksson-Bique, T. Rajala, Elefterios Soultanis
{"title":"Tensorization of quasi-Hilbertian Sobolev spaces","authors":"S. Eriksson-Bique, T. Rajala, Elefterios Soultanis","doi":"10.4171/rmi/1433","DOIUrl":"https://doi.org/10.4171/rmi/1433","url":null,"abstract":"The tensorization problem for Sobolev spaces asks for a characterization of how the Sobolev space on a product metric measure space $Xtimes Y$ can be determined from its factors. We show that two natural descriptions of the Sobolev space from the literature coincide, $W^{1,2}(Xtimes Y)=J^{1,2}(X,Y)$, thus settling the tensorization problem for Sobolev spaces in the case $p=2$, when $X$ and $Y$ are infinitesimally quasi-Hilbertian, i.e. the Sobolev space $W^{1,2}$ admits an equivalent renorming by a Dirichlet form. This class includes in particular metric measure spaces $X,Y$ of finite Hausdorff dimension as well as infinitesimally Hilbertian spaces. More generally for $pin (1,infty)$ we obtain the norm-one inclusion $|f|_{J^{1,p}(X,Y)}le |f|_{W^{1,p}(Xtimes Y)}$ and show that the norms agree on the algebraic tensor product $W^{1,p}(X)otimes W^{1,p}(Y)subset W^{1,p}(Xtimes Y)$. When $p=2$ and $X$ and $Y$ are infinitesimally quasi-Hilbertian, standard Dirichlet form theory yields the density of $W^{1,2}(X)otimes W^{1,2}(Y)$ in $J^{1,2}(X,Y)$ thus implying the equality of the spaces. Our approach raises the question of the density of $W^{1,p}(X)otimes W^{1,p}(Y)$ in $J^{1,p}(X,Y)$ in the general case.","PeriodicalId":49604,"journal":{"name":"Revista Matematica Iberoamericana","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2022-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48190937","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
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