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Definable coaisles over rings of weak global dimension at most one 弱总体维数最多为1的环上的可定义通道
IF 1.1 3区 数学
Publicacions Matematiques Pub Date : 2019-01-14 DOI: 10.5565/publmat6512106
S. Bazzoni, Michal Hrbek
{"title":"Definable coaisles over rings of weak global dimension at most one","authors":"S. Bazzoni, Michal Hrbek","doi":"10.5565/publmat6512106","DOIUrl":"https://doi.org/10.5565/publmat6512106","url":null,"abstract":"In the setting of the unbounded derived category D(R) of a ring R of weak global dimension at most one we consider t-structures with a definable coaisle. The t-structures among these which are stable (that is, the t-structures which consist of a pair of triangulated subcategories) are precisely the ones associated to a smashing localization of the derived category. In this way, our present results generalize those of [Bv{S}17] to the non-stable case. As in the stable case [Bv{S}17], we confine for the most part to the commutative setting, and give a full classification of definable coaisles in the local case, that is, over valuation domains. It turns out that unlike in the stable case of smashing subcategories, the definable coaisles do not always arise from homological ring epimorphisms. We also consider a non-stable version of the telescope conjecture for t-structures and give a ring-theoretic characterization of the commutative rings of weak global dimension at most one for which it is satisfied.","PeriodicalId":54531,"journal":{"name":"Publicacions Matematiques","volume":" ","pages":""},"PeriodicalIF":1.1,"publicationDate":"2019-01-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48416179","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Distinguishing Hermitian cusp forms of degree 2 by a certain subset of all Fourier coefficients 用傅里叶系数的某个子集来区分2次的厄米尖形式
IF 1.1 3区 数学
Publicacions Matematiques Pub Date : 2019-01-01 DOI: 10.5565/PUBLMAT6311911
Pramath Anamby, Soumya Das
{"title":"Distinguishing Hermitian cusp forms of degree 2 by a certain subset of all Fourier coefficients","authors":"Pramath Anamby, Soumya Das","doi":"10.5565/PUBLMAT6311911","DOIUrl":"https://doi.org/10.5565/PUBLMAT6311911","url":null,"abstract":"We prove that Hermitian cusp forms of weight k for the Hermitian modular group of degree 2 are determined by their Fourier coefficients indexed by matrices whose determinants are essentially square-free. Moreover, we give a quantitative version of the above result. This is a consequence of the corresponding results for integral weight elliptic cusp forms, which are also treated in this paper.","PeriodicalId":54531,"journal":{"name":"Publicacions Matematiques","volume":" ","pages":""},"PeriodicalIF":1.1,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43396657","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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: 9
Asymptotic expansions and summability with respect to an analytic germ 解析胚芽的渐近展开式和可和性
IF 1.1 3区 数学
Publicacions Matematiques Pub Date : 2019-01-01 DOI: 10.5565/PUBLMAT6311901
Jorge Mozo Fernández, R. Schäfke
{"title":"Asymptotic expansions and summability with respect to an analytic germ","authors":"Jorge Mozo Fernández, R. Schäfke","doi":"10.5565/PUBLMAT6311901","DOIUrl":"https://doi.org/10.5565/PUBLMAT6311901","url":null,"abstract":"","PeriodicalId":54531,"journal":{"name":"Publicacions Matematiques","volume":" ","pages":""},"PeriodicalIF":1.1,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46276174","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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: 7
Weighted norm inequalities for generalized Fourier-type transforms and applications 广义傅立叶型变换的加权范数不等式及其应用
IF 1.1 3区 数学
Publicacions Matematiques Pub Date : 2018-12-05 DOI: 10.5565/publmat6412001
A. Debernardi
{"title":"Weighted norm inequalities for generalized Fourier-type transforms and applications","authors":"A. Debernardi","doi":"10.5565/publmat6412001","DOIUrl":"https://doi.org/10.5565/publmat6412001","url":null,"abstract":"We obtain necessary and sufficient conditions on weights for the generalized Fourier-type transforms to be bounded between weighted $L^p-L^q$ spaces. As an important example, we investigate transforms with kernel of power type, as for instance the sine, Hankel or $mathscr{H}_alpha$ transforms. The obtained necessary and sufficient conditions are given in terms of weights, but not in terms of their decreasing rearrangements, as in several previous investigations.","PeriodicalId":54531,"journal":{"name":"Publicacions Matematiques","volume":" ","pages":""},"PeriodicalIF":1.1,"publicationDate":"2018-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43668574","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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: 7
Weighted norm inequalities for the bilinear maximal operator on variable Lebesgue spaces 可变Lebesgue空间上双线性极大算子的加权范数不等式
IF 1.1 3区 数学
Publicacions Matematiques Pub Date : 2018-11-01 DOI: 10.5565/publmat6422004
D. Cruz-Uribe, O. Guzmán
{"title":"Weighted norm inequalities for the bilinear maximal operator on variable Lebesgue spaces","authors":"D. Cruz-Uribe, O. Guzmán","doi":"10.5565/publmat6422004","DOIUrl":"https://doi.org/10.5565/publmat6422004","url":null,"abstract":"We extend the theory of weighted norm inequalities on variable Lebesgue spaces to the case of bilinear operators. We introduce a bilinear version of the variable $A_pp$ condition, and show that it is necessary and sufficient for the bilinear maximal operator to satisfy a weighted norm inequality. Our work generalizes the linear results of the first author, Fiorenza and Neugebauer cite{dcu-f-nPreprint2010} in the variable Lebesgue spaces and the bilinear results of Lerner {em et al.} cite{MR2483720} in the classical Lebesgue spaces. As an application we prove weighted norm inequalities for bilinear singular integral operators in the variable Lebesgue spaces.","PeriodicalId":54531,"journal":{"name":"Publicacions Matematiques","volume":" ","pages":""},"PeriodicalIF":1.1,"publicationDate":"2018-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45418506","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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: 3
Foliations on projective spaces associated to the affine Lie algebra 与仿射李代数相关的射影空间上的叶
IF 1.1 3区 数学
Publicacions Matematiques Pub Date : 2018-10-01 DOI: 10.5565/publmat6422003
Raphael Constant da Costa
{"title":"Foliations on projective spaces associated to the affine Lie algebra","authors":"Raphael Constant da Costa","doi":"10.5565/publmat6422003","DOIUrl":"https://doi.org/10.5565/publmat6422003","url":null,"abstract":"In this work, we construct some irreducible components of the space of two-dimensional holomorphic foliations on $mathbb{P}^n$ associated to some algebraic representations of the affine Lie algebra $mathfrak{aff}(mathbb{C})$. We give a description of the generalized Kupka components, obtaining a classification of them in terms of the degree of the foliations, in both cases $n=3$ and $n=4$.","PeriodicalId":54531,"journal":{"name":"Publicacions Matematiques","volume":" ","pages":""},"PeriodicalIF":1.1,"publicationDate":"2018-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47941853","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
On the inner cone property for convex sets in two-step Carnot groups, with applications to monotone sets 二步卡诺群凸集的内锥性质，并在单调集上的应用
IF 1.1 3区 数学
Publicacions Matematiques Pub Date : 2018-08-20 DOI: 10.5565/publmat6422002
Daniele Morbidelli
{"title":"On the inner cone property for convex sets in two-step Carnot groups, with applications to monotone sets","authors":"Daniele Morbidelli","doi":"10.5565/publmat6422002","DOIUrl":"https://doi.org/10.5565/publmat6422002","url":null,"abstract":"In the setting of step two Carnot groups, we show a \"cone property\" for horizontally convex sets. Namely we prove that, given a horizontally convex set $C$, a pair of points $Pin partial C$ and $Qin $ int $C$, both belonging to a horizontal line $ell$, then an open truncated subRiemannian cone around $ell$ and with vertex at $P$ is contained in $C$. We apply our result to the problem of classification of horizontally monotone sets in Carnot groups. We are able to show that monotone sets in the direct product $mathbb{H} timesmathbb{R}$ of the Heisenberg group with the real line have hyperplanes as boundaries.","PeriodicalId":54531,"journal":{"name":"Publicacions Matematiques","volume":" ","pages":""},"PeriodicalIF":1.1,"publicationDate":"2018-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43933740","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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: 7
A combinatorial approach to noninvolutive set-theoretic solutions of the Yang-Baxter equation Yang-Baxter方程非对合集论解的组合方法
IF 1.1 3区 数学
Publicacions Matematiques Pub Date : 2018-08-12 DOI: 10.5565/PUBLMAT6522111
T. Gateva-Ivanova
{"title":"A combinatorial approach to noninvolutive set-theoretic solutions of the Yang-Baxter equation","authors":"T. Gateva-Ivanova","doi":"10.5565/PUBLMAT6522111","DOIUrl":"https://doi.org/10.5565/PUBLMAT6522111","url":null,"abstract":"We study noninvolutive set-theoretic solutions $(X,r)$ of the Yang-Baxter equations on a set $X$ in terms of the induced left and right actions of $X$ on itself and in terms of the combinatorial properties of the canonically associated algebraic objects-the braided monoid $S(X,r)$ and the graded quadratic $textbf{k}$-algebra $A= A(textbf{k}, X, r)$ over a field $textbf{k}$. We investigate the class of (noninvolutive) square-free solutions $(X,r)$. It contains the particular class of self distributive solutions (i.e. quandles). We show that, similarly to the involutive case, every square-free braided set (possibly infinite, and not involutive) satisfies the cyclicity condions. We make a detailed characterization in terms of various algebraic and combinatorial properties each of which shows the contrast between involutive and noninvolutive square-free solutions. We study an interesting class of finite square-free braided sets $(X,r)$ of order $ngeq 3$ which satisfy emph{the minimality condition} M, that is $dim_{textbf{k}} A_2 =2n-1$ (equivalently, $A$ can be defined via exactly $(n-1)^2$ reduced binomial relations with special properties). In particular, every such solution is indecomposable. Examples are dihedral racks of prime order $p$. \u0000Finally, for general nondegenerate braided sets $(X,r)$ we discuss extensions of solutions with a special emphasis on emph{strong twisted unions on braided sets}. We prove that if $(Z,r)$ is a nondegenerate 2-cancellative braided set which split as a strong twisted union $Z = Xnatural Y$ of its $r$-invariant subsets $X$ and $Y$ then its braided monoid $S_Z$ is a strong twisted union $S_Z= S_Xnatural S_Y$ of the braided monoids $S_X$ and $S_Y$. Moreover, if $(Z,r)$ is injective then its braided group $G_Z=G(Z,r)$ is also a strong twisted union $G_Z= G_Xnatural G_Y$ of the associated braided groups of $X$ and $Y$.","PeriodicalId":54531,"journal":{"name":"Publicacions Matematiques","volume":" ","pages":""},"PeriodicalIF":1.1,"publicationDate":"2018-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46745124","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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: 18
BMO from dyadic BMO for nonhomogeneous measures 非齐次测度的并矢BMO的BMO
IF 1.1 3区 数学
Publicacions Matematiques Pub Date : 2018-06-27 DOI: 10.5565/publmat6412014
José M. Conde-Alonso
{"title":"BMO from dyadic BMO for nonhomogeneous measures","authors":"José M. Conde-Alonso","doi":"10.5565/publmat6412014","DOIUrl":"https://doi.org/10.5565/publmat6412014","url":null,"abstract":"The usual one third trick allows to reduce problems involving general cubes to a countable family. Moreover, this covering lemma uses only dyadic cubes, which allows to use nice martingale properties in harmonic analysis problems. We consider alternatives to this technique in spaces equipped with nonhomogeneous measures. This entails additional difficulties which forces us to consider martingale filtrations that are not regular. The dyadic covering that we find can be used to clarify the relationship between martingale BMO spaces and the most natural BMO space in this setting, which is the space RBMO introduced by Tolsa.","PeriodicalId":54531,"journal":{"name":"Publicacions Matematiques","volume":" ","pages":""},"PeriodicalIF":1.1,"publicationDate":"2018-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41898795","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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: 3
An irrational-slope Thompson’s group 一个非理性斜率汤普森组
IF 1.1 3区 数学
Publicacions Matematiques Pub Date : 2018-05-31 DOI: 10.5565/PUBLMAT6522112
J. Burillo, Brita Nucinkis, Lawrence Reeves
{"title":"An irrational-slope Thompson’s group","authors":"J. Burillo, Brita Nucinkis, Lawrence Reeves","doi":"10.5565/PUBLMAT6522112","DOIUrl":"https://doi.org/10.5565/PUBLMAT6522112","url":null,"abstract":"The purpose of this paper is to study the properties of the irrational-slope Thompson's group $F_tau$ introduced by Cleary in 1995. We construct presentations, both finite and infinite and we describe its combinatorial structure using binary trees. We show that its commutator group is simple. Finally, inspired by the case of Thompson's group F, we define a unique normal form for the elements of the group and study the metric properties for the elements based on this normal form. As a corollary, we see that several embeddings of $F$ in $F_tau$ are undistorted.","PeriodicalId":54531,"journal":{"name":"Publicacions Matematiques","volume":" ","pages":""},"PeriodicalIF":1.1,"publicationDate":"2018-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45136683","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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: 14
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