Annales Academiae Scientiarum Fennicae-Mathematica最新文献_第6页

IF 0.9 4区数学

Annales Academiae Scientiarum Fennicae-Mathematica Pub Date : 2019-09-18 DOI: 10.5186/aasfm.2020.4534

Pekka Pankka

{"title":"Quasiregular curves","authors":"Pekka Pankka","doi":"10.5186/aasfm.2020.4534","DOIUrl":"https://doi.org/10.5186/aasfm.2020.4534","url":null,"abstract":"We extend the notion of a pseudoholomorphic vector of Iwaniec, Verchota, and Vogel to mappings between Riemannian manifolds. Since this class of mappings contains both quasiregular mappings and (pseudo)holomorphic curves, we call them quasiregular curves. Let $nle m$ and let $M$ be an oriented Riemannian $n$-manifold, $N$ a Riemannian $m$-manifold, and $omega in Omega^n(N)$ a smooth closed non-vanishing $n$-form on $N$. A continuous Sobolev map $fcolon M to N$ in $W^{1,n}_{mathrm{loc}}(M,N)$ is a $K$-quasiregular $omega$-curve for $Kge 1$ if $f$ satisfies the distortion inequality $(lVertomegarVertcirc f)lVert DfrVert^n le K (star f^* omega)$ almost everywhere in $M$. We prove that quasiregular curves satisfy Gromov's quasiminimality condition and a version of Liouville's theorem stating that bounded quasiregular curves $mathbb R^n to mathbb R^m$ are constant. We also prove a limit theorem that a locally uniform limit $fcolon M to N$ of $K$-quasiregular $omega$-curves $(f_j colon Mto N)$ is also a $K$-quasiregular $omega$-curve. We also show that a non-constant quasiregular $omega$-curve $fcolon M to N$ is discrete and satisfies $star f^*omega >0$ almost everywhere, if one of the following additional conditions hold: the form $omega$ is simple or the map $f$ is $C^1$-smooth.","PeriodicalId":50787,"journal":{"name":"Annales Academiae Scientiarum Fennicae-Mathematica","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2019-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76379633","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

Symmetrization inequalities for probability metric spaces with convex isoperimetric profile 具有凸等周轮廓的概率度量空间的对称不等式

IF 0.9 4区数学

Annales Academiae Scientiarum Fennicae-Mathematica Pub Date : 2019-08-23 DOI: 10.5186/aasfm.2020.4548

Joaquim Martín, Walter A. Ortiz

引用次数: 0

Multilinear fractional integral operators: a counter-example 多线性分数积分算子:一个反例

IF 0.9 4区数学

Annales Academiae Scientiarum Fennicae-Mathematica Pub Date : 2019-08-02 DOI: 10.5186/aasfm.2020.4549

P. Rocha

引用次数: 0

Convergence in variation for the multidimensional generalized sampling series and applications to smoothing for digital image processing 多维广义采样序列的变分收敛及其在数字图像处理平滑中的应用

IF 0.9 4区数学

Annales Academiae Scientiarum Fennicae-Mathematica Pub Date : 2019-06-07 DOI: 10.5186/aasfm.2020.4532

L. Angeloni, D. Costarelli, G. Vinti

引用次数: 15

Characterizing hyperelliptic surfaces in terms of closed geodesics 用封闭测地线描述超椭圆曲面

IF 0.9 4区数学

Annales Academiae Scientiarum Fennicae-Mathematica Pub Date : 2019-06-01 DOI: 10.5186/AASFM.2019.4450

D. Gallo

引用次数: 0

Nonlinear nonhomogeneous Robin problems with convection 具有对流的非线性非齐次Robin问题

IF 0.9 4区数学

Annales Academiae Scientiarum Fennicae-Mathematica Pub Date : 2019-06-01 DOI: 10.5186/AASFM.2019.4438

P. Candito, L. Gasiński, N. Papageorgiou

引用次数: 8

Distortion theorems, Lipschitz continuity and their applications for Bloch type mappings on bounded symmetric domains in C^n C^n有界对称域上Bloch型映射的畸变定理、Lipschitz连续性及其应用

IF 0.9 4区数学

Annales Academiae Scientiarum Fennicae-Mathematica Pub Date : 2019-06-01 DOI: 10.5186/AASFM.2019.4451

H. Hamada

{"title":"Distortion theorems, Lipschitz continuity and their applications for Bloch type mappings on bounded symmetric domains in C^n","authors":"H. Hamada","doi":"10.5186/AASFM.2019.4451","DOIUrl":"https://doi.org/10.5186/AASFM.2019.4451","url":null,"abstract":"Let BX be a bounded symmetric domain realized as the unit ball of an ndimensional JB∗-triple X = (C, ‖ · ‖X). In this paper, we give a new definition of Bloch type mappings on BX and give distortion theorems for Bloch type mappings on BX . When BX is the Euclidean unit ball in C, this new definition coincides with that given by Chen and Kalaj or by the author. As a corollary of the distortion theorem, we obtain the lower estimate for the radius of the largest schlicht ball in the image of f centered at f(0) for α-Bloch mappings f on BX . Next, as another corollary of the distortion theorem, we show the Lipschitz continuity of (detB(z, z))1/2n| detDf(z)|1/n for Bloch type mappings f on BX with respect to the Kobayashi metric, where B(z, z) is the Bergman operator on X , and use it to give a sufficient condition for the composition operator Cφ to be bounded from below on the Bloch type space on BX , where φ is a holomorphic self mapping of BX . In the case BX = B , we also give a necessary condition for Cφ to be bounded from below which is a converse to the above result. Finally, as another application of the Lipschitz continuity, we obtain a result related to the interpolating sequences for the Bloch type space on BX .","PeriodicalId":50787,"journal":{"name":"Annales Academiae Scientiarum Fennicae-Mathematica","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87191736","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: 4

Existence of weak solutions for the Schrödinger equation and its application Schrödinger方程弱解的存在性及其应用

IF 0.9 4区数学

Annales Academiae Scientiarum Fennicae-Mathematica Pub Date : 2019-06-01 DOI: 10.5186/AASFM.2019.4452

Jinjin Huang

引用次数: 1

Simultaneous nonvanishing of Dirichlet L-functions and twists of Hecke–Maass L-functions in the critical strip Dirichlet l -函数的同时不消失和hecke - mass l -函数在临界带的扭曲

IF 0.9 4区数学

Annales Academiae Scientiarum Fennicae-Mathematica Pub Date : 2019-06-01 DOI: 10.5186/AASFM.2019.4464

Keiju Sono

引用次数: 3

Existence of positive solution for Kirchhoff type problem with critical discontinuous nonlinearity 临界不连续非线性Kirchhoff型问题正解的存在性

IF 0.9 4区数学

Annales Academiae Scientiarum Fennicae-Mathematica Pub Date : 2019-06-01 DOI: 10.5186/AASFM.2019.4453

G. Figueiredo, G. G. Santos

引用次数: 7