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Hausdorff dimension of limsup sets of rectangles in the Heisenberg group 海森堡群中矩形临近集的豪斯多夫维度
IF 0.5 4区 数学
Mathematica Scandinavica Pub Date : 2020-05-06 DOI: 10.7146/MATH.SCAND.A-119234
Fredrik Ekström, E. Järvenpää, M. Järvenpää
{"title":"Hausdorff dimension of limsup sets of rectangles in the Heisenberg group","authors":"Fredrik Ekström, E. Järvenpää, M. Järvenpää","doi":"10.7146/MATH.SCAND.A-119234","DOIUrl":"https://doi.org/10.7146/MATH.SCAND.A-119234","url":null,"abstract":"The almost sure value of the Hausdorff dimension of limsup sets generated by randomly distributed rectangles in the Heisenberg group is computed in terms of directed singular value functions.","PeriodicalId":49873,"journal":{"name":"Mathematica Scandinavica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141206531","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Local boundedness for minimizers of convex integral functionals in metric measure spaces 度量测度空间中凸积分泛函极小子的局部有界性
IF 0.5 4区 数学
Mathematica Scandinavica Pub Date : 2020-05-06 DOI: 10.7146/math.scand.a-116244
Huiju Wang, P. Niu
{"title":"Local boundedness for minimizers of convex integral functionals in metric measure spaces","authors":"Huiju Wang, P. Niu","doi":"10.7146/math.scand.a-116244","DOIUrl":"https://doi.org/10.7146/math.scand.a-116244","url":null,"abstract":"In this paper we consider the convex integral functional I:=∫ΩΦ(gu)dμ in the metric measure space (X,d,μ), where X is a set, d is a metric, µ is a Borel regular measure satisfying the doubling condition, Ω is a bounded open subset of X, u belongs to the Orlicz-Sobolev space N1,Φ(Ω), Φ is an N-function satisfying the Δ2-condition, gu is the minimal Φ-weak upper gradient of u. By improving the corresponding method in the Euclidean space to the metric setting, we establish the local boundedness for minimizers of the convex integral functional under the assumption that (X,d,μ) satisfies the (1,1)-Poincare inequality. The result of this paper can be applied to the Carnot-Caratheodory space spanned by vector fields satisfying Hormander's condition.","PeriodicalId":49873,"journal":{"name":"Mathematica Scandinavica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49286066","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Divisors of expected Jacobian type 预期Jacobian类型的除数
IF 0.5 4区 数学
Mathematica Scandinavica Pub Date : 2020-04-18 DOI: 10.7146/math.scand.a-126042
J. À. Montaner, F. Planas-Vilanova
{"title":"Divisors of expected Jacobian type","authors":"J. À. Montaner, F. Planas-Vilanova","doi":"10.7146/math.scand.a-126042","DOIUrl":"https://doi.org/10.7146/math.scand.a-126042","url":null,"abstract":"Divisors whose Jacobian ideal is of linear type have received a lot of attention recently because of its connections with the theory of $D$-modules. In this work we are interested on divisors of expected Jacobian type, that is, divisors whose gradient ideal is of linear type and the relation type of its Jacobian ideal coincides with the reduction number with respect to the gradient ideal plus one. We provide conditions in order to be able to describe precisely the equations of the Rees algebra of the Jacobian ideal. We also relate the relation type of the Jacobian ideal to some $D$-module theoretic invariant given by the degree of the Kashiwara operator.","PeriodicalId":49873,"journal":{"name":"Mathematica Scandinavica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-04-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46213898","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 Schwarz lemma for hyperbolic harmonic mappings in the unit ball 单位球中双曲调和映射的Schwarz引理
IF 0.5 4区 数学
Mathematica Scandinavica Pub Date : 2020-04-13 DOI: 10.7146/math.scand.a-128528
Jiaolong Chen, D. Kalaj
{"title":"A Schwarz lemma for hyperbolic harmonic mappings in the unit ball","authors":"Jiaolong Chen, D. Kalaj","doi":"10.7146/math.scand.a-128528","DOIUrl":"https://doi.org/10.7146/math.scand.a-128528","url":null,"abstract":"Assume that $pin [1,infty ]$ and $u=P_{h}[phi ]$, where $phi in L^{p}(mathbb{S}^{n-1},mathbb{R}^n)$ and $u(0) = 0$. Then we obtain the sharp inequality $lvert u(x) rvert le G_p(lvert x rvert )lVert phi rVert_{L^{p}}$ for some smooth function $G_p$ vanishing at $0$. Moreover, we obtain an explicit form of the sharp constant $C_p$ in the inequality $lVert Du(0)rVert le C_plVert phi rVert le C_plVert phi rVert_{L^{p}}$. These two results generalize and extend some known results from the harmonic mapping theory (D. Kalaj, Complex Anal. Oper. Theory 12 (2018), 545–554, Theorem 2.1) and the hyperbolic harmonic theory (B. Burgeth, Manuscripta Math. 77 (1992), 283–291, Theorem 1).","PeriodicalId":49873,"journal":{"name":"Mathematica Scandinavica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45718196","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 2
The strength for line bundles 线束的强度
IF 0.5 4区 数学
Mathematica Scandinavica Pub Date : 2020-04-03 DOI: 10.7146/math.scand.a-128529
E. Ballico, Emanuele Ventura
{"title":"The strength for line bundles","authors":"E. Ballico, Emanuele Ventura","doi":"10.7146/math.scand.a-128529","DOIUrl":"https://doi.org/10.7146/math.scand.a-128529","url":null,"abstract":"We introduce the strength for sections of a line bundle on an algebraic variety. This generalizes the strength of homogeneous polynomials that has been recently introduced to resolve Stillman's conjecture, an important problem in commutative algebra. We establish the first properties of this notion and give some tool to obtain upper bounds on the strength in this framework. Moreover, we show some results on the usual strength such as the reducibility of the set of strength two homogeneous polynomials.","PeriodicalId":49873,"journal":{"name":"Mathematica Scandinavica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42072756","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
The space $D$ in several variables: random variables and higher moments 几个变量中的空间$D$：随机变量和高阶矩
IF 0.5 4区 数学
Mathematica Scandinavica Pub Date : 2020-04-01 DOI: 10.7146/math.scand.a-128971
S. Janson
{"title":"The space $D$ in several variables: random variables and higher moments","authors":"S. Janson","doi":"10.7146/math.scand.a-128971","DOIUrl":"https://doi.org/10.7146/math.scand.a-128971","url":null,"abstract":"We study the Banach space $D([0,1]^m)$ of functions of several variables that are (in a certain sense) right-continuous with left limits, and extend several results previously known for the standard case $m=1$. We give, for example, a description of the dual space, and we show that a bounded multilinear form always is measurable with respect to the $sigma$-field generated by the point evaluations. These results are used to study random functions in the space. (I.e., random elements of the space.) In particular, we give results on existence of moments (in different senses) of such random functions, and we give an application to the Zolotarev distance between two such random functions.","PeriodicalId":49873,"journal":{"name":"Mathematica Scandinavica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44516270","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 5
Hopf algebra actions and transfer of Frobenius and symmetric properties Hopf代数作用与Frobenius的转移及对称性质
IF 0.5 4区 数学
Mathematica Scandinavica Pub Date : 2020-03-29 DOI: 10.7146/math.scand.a-115970
S. Dascalescu, C. Nastasescu, L. Nastasescu
{"title":"Hopf algebra actions and transfer of Frobenius and symmetric properties","authors":"S. Dascalescu, C. Nastasescu, L. Nastasescu","doi":"10.7146/math.scand.a-115970","DOIUrl":"https://doi.org/10.7146/math.scand.a-115970","url":null,"abstract":"If H is a finite-dimensional Hopf algebra acting on a finite-dimensional algebra A, we investigate the transfer of the Frobenius and symmetric properties through the algebra extensions AH⊂A⊂A#H.","PeriodicalId":49873,"journal":{"name":"Mathematica Scandinavica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49086529","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 2
New characterizations of spacelike hyperplanes in the steady state space 稳态空间中类空间超平面的新性质
IF 0.5 4区 数学
Mathematica Scandinavica Pub Date : 2020-03-29 DOI: 10.7146/math.scand.a-117703
C. Aquino, H. Baltazar, H. Lima
{"title":"New characterizations of spacelike hyperplanes in the steady state space","authors":"C. Aquino, H. Baltazar, H. Lima","doi":"10.7146/math.scand.a-117703","DOIUrl":"https://doi.org/10.7146/math.scand.a-117703","url":null,"abstract":"In this article, we deal with complete spacelike hypersurfaces immersed in an open region of the de Sitter space Sn+11 which is known as the steady state space Hn+1. Under suitable constraints on the behavior of the higher order mean curvatures of these hypersurfaces, we are able to prove that they must be spacelike hyperplanes of Hn+1. Furthermore, through the analysis of the hyperbolic cylinders of Hn+1, we discuss the importance of the main hypothesis in our results. Our approach is based on a generalized maximum principle at infinity for complete Riemannian manifolds.","PeriodicalId":49873,"journal":{"name":"Mathematica Scandinavica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41403709","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Stability analysis of a delay differential Kaldor's model with government policies 具有政府政策的时滞微分Kaldor模型的稳定性分析
IF 0.5 4区 数学
Mathematica Scandinavica Pub Date : 2020-03-29 DOI: 10.7146/math.scand.a-116243
T. Caraballo, A. P. D. Silva
{"title":"Stability analysis of a delay differential Kaldor's model with government policies","authors":"T. Caraballo, A. P. D. Silva","doi":"10.7146/math.scand.a-116243","DOIUrl":"https://doi.org/10.7146/math.scand.a-116243","url":null,"abstract":"This paper is devoted to analysis of the stability of the economy according to an extended version of Kaldor's economic growth model. We consider the role of the government and its simultaneous monetary and fiscal policies and we study whether or not a time delay between the recognition and the implementation of its fiscal policy can affect the economic stability. Numerical simulations provide further conclusions about the long-term behavior of the four variables modeled—namely, national income, capacity of production, bonds value and money supply.","PeriodicalId":49873,"journal":{"name":"Mathematica Scandinavica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45996672","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Some operator inequalities for Hermitian Banach $*$-algebras 厄米巴拿赫代数的算子不等式
IF 0.5 4区 数学
Mathematica Scandinavica Pub Date : 2020-03-12 DOI: 10.7146/math.scand.a-115624
H. Najafi
{"title":"Some operator inequalities for Hermitian Banach $*$-algebras","authors":"H. Najafi","doi":"10.7146/math.scand.a-115624","DOIUrl":"https://doi.org/10.7146/math.scand.a-115624","url":null,"abstract":"In this paper, we extend the Kubo-Ando theory from operator means on C∗-algebras to a Hermitian Banach ∗-algebra A with a continuous involution. For this purpose, we show that if a and b are self-adjoint elements in A with spectra in an interval J such that a≤b, then f(a)≤f(b) for every operator monotone function f on J, where f(a) and f(b) are defined by the Riesz-Dunford integral. Moreover, we show that some convexity properties of the usual operator convex functions are preserved in the setting of Hermitian Banach ∗-algebras. In particular, Jensen's operator inequality is presented in these cases.","PeriodicalId":49873,"journal":{"name":"Mathematica Scandinavica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47024143","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
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