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We give criteria for an invariant of lens space links to bound the maximal self-linking number in certain tight contact lens spaces. As a corollary we extend the Franks-Williams-Morton inequality to the setting of lens spaces.

几何拓扑 · 数学 2011-11-11 Christopher R. Cornwell

We study restriction problem in vector spaces over finite fields. We obtain finite field analogue of Mockenhaupt-Mitsis-Bak-Seenger restriction theorem, and we show that the range of the exponentials is sharp.

经典分析与常微分方程 · 数学 2018-01-03 Changhao Chen

In this note we prove various sharp boundedness results on suitable Hardy type spaces for Riesz transforms of arbitrary order on noncompact symmetric spaces of arbitrary rank.

泛函分析 · 数学 2017-10-05 G. Mauceri , S. Meda , M. Vallarino

We provide a complete structure theorem for involutory matrices. This yields a new approach to principal angles between subspaces and provide a series of nice formulae for these angles.

泛函分析 · 数学 2026-02-24 Jean-Christophe Bourin , Eun-Young Lee

It is shown that, under suitable conditions, involving in particular the existence of analytic constants of motion, the presence of Lie point symmetries can ensure the convergence of the transformation taking a vector field (or dynamical…

chao-dyn · 物理学 2008-02-03 G. Cicogna

We consider a square expanding with constant speed seen from an observer moving away with constant acceleration and study the distribution of angles between rays from the observer towards the lattice points in the square. We prove the…

We study the properties of folding points and endpoints of unimodal inverse limit spaces. We distinguish between non-end folding points and three types of end-points (flat, spiral and nasty) and give conditions for their existence and…

动力系统 · 数学 2020-01-08 Lori Alvin , Ana Anušić , Henk Bruin , Jernej Činč

We develop a systematic method for computing the angle combinations at all vertices in an edge-to-edge tiling of the sphere by pentagons with the same five angles. The method is a useful and necessary step in many tiling problems about…

度量几何 · 数学 2023-09-27 Hoi Ping Luk , Min Yan

New direct proofs of variational principles for $t$-entropy, spectral radius of weighted shift operators, and entropy statistic theorem are given. The equivalence of these statements is obtained.

动力系统 · 数学 2017-05-04 V. I. Bakhtin , A. V. Lebedev

We give sufficient conditions for the continuity in norm of the translation operator in the Musielak-Orlicz LM spaces. An application to the convergence in norm of approximate identities is given, whereby we prove density results of the…

泛函分析 · 数学 2017-10-25 Ahmed Youssfi , Youssef Ahmida

We use the recently introduced \'etale open topology to prove several facts about large fields. We show that these facts lift to a very general topological setting.

代数几何 · 数学 2021-03-12 Erik Walsberg

In this paper we study constant angle surfaces in Euclidean 3-space. Even that the result is a consequence of some classical results involving the Gauss map (of the surface), we give another approach to classify all surfaces for which the…

微分几何 · 数学 2009-07-01 Marian Ioan Munteanu , Ana Irina Nistor

Introduced by Coifman, Meyer, and Stein, the tent spaces have seen wide applications in Harmonic Analysis. Their analytic cousins have seen some applications involving the derivatives of Hardy space functions. Moreover, the tent spaces have…

复变函数 · 数学 2020-04-22 Caleb Parks

Normed spaces appear to have very little going for them: aside from the hackneyed linear structure, you get a norm whose only virtue, aside from separating points, is the Triangle Inequality. What could you possibly prove with that? As it…

泛函分析 · 数学 2024-05-24 Ryan Luis Acosta Babb

Consensus is a well-studied problem in distributed sensing, computation and control, yet deriving useful and easily computable bounds on the rate of convergence to consensus remains a challenge. This paper discusses the use of seminorms for…

系统与控制 · 电气工程与系统科学 2025-08-29 Ron Ofir , Ji Liu , A. Stephen Morse , Brian D. O. Anderson

In the setting of spaces of homogeneous type, we study some Hardy type inequalities, which notably appeared in the proofs of local T(b) theorems as in [AR]. We give some suffi cient conditions ensuring their validity, related to the…

经典分析与常微分方程 · 数学 2013-04-12 Eddy Routin

In this paper, we study some features of n-normed spaces with respect to norms of its quotient spaces. We define continuous functions with respect to the norms of its quotient spaces and show that all types of continuity are equivalent. We…

泛函分析 · 数学 2019-04-02 Harmanus Batkunde , Hendra Gunawan

In this work we obtain a transference theorem for Lebesgue spaces with $A_{\infty }$ weights, namely, starting from some uniform-norm inequalities it is possible to obtain similar inequalities in Lebesgue spaces with $A_{\infty }$ weights.…

泛函分析 · 数学 2023-07-27 Ramazan Akgün

We develop an analog to the ends of a metric space for the category of coarse metric spaces and show that it is equivalent to a previously defined coarse invariant.

度量几何 · 数学 2013-03-05 Michael DeLyser , Brendon LaBuz , Michel Tobash

In this paper, we first establish an equivalence theorem of Minkowski spaces by using results in centro-affine differential geometry. As an application in Finsler geometry, we gives some new characterizations of Berwald spaces.

微分几何 · 数学 2018-01-11 Ming Li