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Arkiv for Matematik最新文献

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On families between the Hardy–Littlewood and spherical maximal functions 关于Hardy-Littlewood与球面极大函数之间的族
IF 0.7 4区 数学
Arkiv for Matematik Pub Date : 2020-05-05 DOI: 10.4310/arkiv.2021.v59.n2.a4
Georgios Dosidis, L. Grafakos
{"title":"On families between the Hardy–Littlewood and spherical maximal functions","authors":"Georgios Dosidis, L. Grafakos","doi":"10.4310/arkiv.2021.v59.n2.a4","DOIUrl":"https://doi.org/10.4310/arkiv.2021.v59.n2.a4","url":null,"abstract":"We study a family of maximal operators that provides a continuous link connecting the Hardy-Littlewood maximal function to the spherical maximal function. Our theorems are proved in the multilinear setting but may contain new results even in the linear case. For this family of operators we obtain bounds between Lebesgue spaces in the optimal range of exponents.","PeriodicalId":55569,"journal":{"name":"Arkiv for Matematik","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2020-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70393783","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
Resonances over a potential well in an island 岛屿上势井的共振
IF 0.7 4区 数学
Arkiv for Matematik Pub Date : 2020-04-05 DOI: 10.4310/arkiv.2021.v59.n2.a7
J. Sjostrand, Maher Zerzeri
{"title":"Resonances over a potential well in an island","authors":"J. Sjostrand, Maher Zerzeri","doi":"10.4310/arkiv.2021.v59.n2.a7","DOIUrl":"https://doi.org/10.4310/arkiv.2021.v59.n2.a7","url":null,"abstract":"In this paper we study the distribution of scattering resonances for a multidimensional semi-classical Schrodinger operator, associated to a potential well in an island at energies close to the maximal one that limits the separation of the well and the surrounding sea.","PeriodicalId":55569,"journal":{"name":"Arkiv for Matematik","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2020-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70393829","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 recursive formula for osculating curves 近似曲线的递推公式
IF 0.7 4区 数学
Arkiv for Matematik Pub Date : 2020-02-28 DOI: 10.1307/mmj/20216025
G. Muratore
{"title":"A recursive formula for osculating curves","authors":"G. Muratore","doi":"10.1307/mmj/20216025","DOIUrl":"https://doi.org/10.1307/mmj/20216025","url":null,"abstract":"Let $X$ be a smooth complex projective variety. Using a construction devised to Gathmann, we present a recursive formula for some of the Gromov-Witten invariants of $X$. We prove that, when $X$ is homogeneous, this formula gives the number of osculating rational curves at a general point of a general hypersurface of $X$. This generalizes the classical well known pairs of inflexion (asymptotic) lines for surfaces in $mathbb{P}^{3}$ of Salmon, as well as Darboux's $27$ osculating conics.","PeriodicalId":55569,"journal":{"name":"Arkiv for Matematik","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2020-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66232925","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
A Riemann–Roch type theorem for twisted fibrations of moment graphs 弯矩图扭曲纤摇的一个Riemann-Roch型定理
IF 0.7 4区 数学
Arkiv for Matematik Pub Date : 2020-02-23 DOI: 10.4310/arkiv.2021.v59.n2.a6
M. Lanini, K. Zainoulline
{"title":"A Riemann–Roch type theorem for twisted fibrations of moment graphs","authors":"M. Lanini, K. Zainoulline","doi":"10.4310/arkiv.2021.v59.n2.a6","DOIUrl":"https://doi.org/10.4310/arkiv.2021.v59.n2.a6","url":null,"abstract":"In the present paper we extend the Riemann-Roch formalism to structure algebras of moment graphs. We introduce and study the Chern character and pushforwards for twisted fibrations of moment graphs. We prove an analogue of the Riemann-Roch theorem for moment graphs. As an application, we obtain the Riemann-Roch type theorem for equivariant $K$-theory of some Kac-Moody flag varieties.","PeriodicalId":55569,"journal":{"name":"Arkiv for Matematik","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2020-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48775423","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
Singular equivalences arising from Morita rings 森田环的奇异等价
IF 0.7 4区 数学
Arkiv for Matematik Pub Date : 2020-01-01 DOI: 10.4310/arkiv.2020.v58.n1.a6
Nan Gao, Wencheng Zhao
{"title":"Singular equivalences arising from Morita rings","authors":"Nan Gao, Wencheng Zhao","doi":"10.4310/arkiv.2020.v58.n1.a6","DOIUrl":"https://doi.org/10.4310/arkiv.2020.v58.n1.a6","url":null,"abstract":"We obtain new classes of singular equivalences which are constructed from Gorenstein-projective modules.","PeriodicalId":55569,"journal":{"name":"Arkiv for Matematik","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70393884","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
Spectral asymptotics of Laplacians related to one-dimensional graph-directed self-similar measures with overlaps 具有重叠的一维图向自相似测度的拉普拉斯算子的谱渐近性
IF 0.7 4区 数学
Arkiv for Matematik Pub Date : 2020-01-01 DOI: 10.4310/arkiv.2020.v58.n2.a9
Sze-Man Ngai, Yuanyuan Xie
{"title":"Spectral asymptotics of Laplacians related to one-dimensional graph-directed self-similar measures with overlaps","authors":"Sze-Man Ngai, Yuanyuan Xie","doi":"10.4310/arkiv.2020.v58.n2.a9","DOIUrl":"https://doi.org/10.4310/arkiv.2020.v58.n2.a9","url":null,"abstract":"For the class of graph-directed self-similar measures on R, which could have overlaps but are essentially of finite type, we set up a framework for deriving a closed formula for the spectral dimension of the Laplacians defined by these measures. For the class of finitely ramified graph-directed self-similar sets, the spectral dimension of the associated Laplace operators has been obtained by Hambly and Nyberg [6]. The main novelty of our results is that the graphdirected self-similar measures we consider do not need to satisfy the graph open set condition.","PeriodicalId":55569,"journal":{"name":"Arkiv for Matematik","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70393610","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
Periodic flows with global sections 具有全局分段的周期性流
IF 0.7 4区 数学
Arkiv for Matematik Pub Date : 2020-01-01 DOI: 10.4310/arkiv.2020.v58.n1.a3
Khadija Ben Rejeb
{"title":"Periodic flows with global sections","authors":"Khadija Ben Rejeb","doi":"10.4310/arkiv.2020.v58.n1.a3","DOIUrl":"https://doi.org/10.4310/arkiv.2020.v58.n1.a3","url":null,"abstract":"Let G={ht | t∈R} be a continuous flow on a connected n-manifold M . The flow G is said to be strongly reversible by an involution τ if h−t=τhtτ for all t∈R, and it is said to be periodic if hs = identity for some s∈R∗. A closed subset K of M is called a global section for G if every orbit G(x) intersects K in exactly one point. In this paper, we study how the two properties “strongly reversible” and “has a global section” are related. In particular, we show that if G is periodic and strongly reversible by a reflection, then G has a global section.","PeriodicalId":55569,"journal":{"name":"Arkiv for Matematik","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70393807","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
A note on the Coifman–Fefferman and Fefferman–Stein inequalities 关于Coifman-Fefferman和Fefferman-Stein不等式的注解
IF 0.7 4区 数学
Arkiv for Matematik Pub Date : 2019-12-26 DOI: 10.4310/arkiv.2020.v58.n2.a7
A. Lerner
{"title":"A note on the Coifman–Fefferman and Fefferman–Stein inequalities","authors":"A. Lerner","doi":"10.4310/arkiv.2020.v58.n2.a7","DOIUrl":"https://doi.org/10.4310/arkiv.2020.v58.n2.a7","url":null,"abstract":"A condition on a Banach function space $X$ is given under which the Coifman-Fefferman and Fefferman-Stein inequalities on $X$ are equivalent.","PeriodicalId":55569,"journal":{"name":"Arkiv for Matematik","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2019-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70393554","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
Hamiltonian Carleman approximation and the density property for coadjoint orbits 哈密顿Carleman近似与共点轨道的密度性质
IF 0.7 4区 数学
Arkiv for Matematik Pub Date : 2019-11-08 DOI: 10.4310/arkiv.2022.v60.n1.a2
F. Deng, E. F. Wold
{"title":"Hamiltonian Carleman approximation and the density property for coadjoint orbits","authors":"F. Deng, E. F. Wold","doi":"10.4310/arkiv.2022.v60.n1.a2","DOIUrl":"https://doi.org/10.4310/arkiv.2022.v60.n1.a2","url":null,"abstract":"For a complex Lie group $G$ with a real form $G_0subset G$, we prove that any Hamiltionian automorphism $phi$ of a coadjoint orbit $mathcal O_0$ of $G_0$ whose connected components are simply connected, may be approximated by holomorphic $mathcal O_0$-invariant symplectic automorphism of the corresponding coadjoint orbit of $G$ in the sense of Carleman, provided that $mathcal O$ is closed. In the course of the proof, we establish the Hamiltonian density property for closed coadjoint orbits of all complex Lie groups.","PeriodicalId":55569,"journal":{"name":"Arkiv for Matematik","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2019-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47178139","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
Duality for Witt-divisorial sheaves 维特分束的对偶性
IF 0.7 4区 数学
Arkiv for Matematik Pub Date : 2019-10-23 DOI: 10.4310/ARKIV.2022.v60.n1.a5
Niklas Lemcke
{"title":"Duality for Witt-divisorial sheaves","authors":"Niklas Lemcke","doi":"10.4310/ARKIV.2022.v60.n1.a5","DOIUrl":"https://doi.org/10.4310/ARKIV.2022.v60.n1.a5","url":null,"abstract":". We adapt ideas from Ekedahl [Eke84] to prove a Serre-type duality for Witt-divisorial sheaves of Q –Cartier divisors on a smooth projective variety over a perfect field of finite characteristic. We also explain its relationship to Tanaka’s vanishing theorems [Tan20].","PeriodicalId":55569,"journal":{"name":"Arkiv for Matematik","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2019-10-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48200009","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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