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Bruno Pini Mathematical Analysis Seminar最新文献

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Fractional Poincaré Inequalities in Various Settings 不同条件下的分数阶Poincaré不等式
IF 0.2
Bruno Pini Mathematical Analysis Seminar Pub Date : 2018-05-31 DOI: 10.6092/ISSN.2240-2829/7796
Y. Sire, Yi Wang
{"title":"Fractional Poincaré Inequalities in Various Settings","authors":"Y. Sire, Yi Wang","doi":"10.6092/ISSN.2240-2829/7796","DOIUrl":"https://doi.org/10.6092/ISSN.2240-2829/7796","url":null,"abstract":"We survey on several fractional Poincare inequalities in several constexts: the Euclidean case, the case of Lie groups and the case of Riemannian manifolds.","PeriodicalId":41199,"journal":{"name":"Bruno Pini Mathematical Analysis Seminar","volume":"8 1","pages":"43-54"},"PeriodicalIF":0.2,"publicationDate":"2018-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48121760","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Isoperimetric Problem in Carnot-Caratéodory Spaces Carnot-Caratéodory空间中的等周问题
IF 0.2
Bruno Pini Mathematical Analysis Seminar Pub Date : 2018-05-31 DOI: 10.6092/ISSN.2240-2829/7799
Valentina Franceschi
{"title":"The Isoperimetric Problem in Carnot-Caratéodory Spaces","authors":"Valentina Franceschi","doi":"10.6092/ISSN.2240-2829/7799","DOIUrl":"https://doi.org/10.6092/ISSN.2240-2829/7799","url":null,"abstract":"We present some recent results obtained on the isoperimetric problem in a class of Carnot-Caratheodory spaces, related to the Heisenberg group. This is the framework of Pansu’s conjecture about the shape of isoperimetric sets. Two different approaches are considered. On one hand we describe the isoperimetric problem in Grushin spaces, under a symmetry assumption that depends on the dimension and we provide a classification of isoperimetric sets for special dimensions. On the other hand, we present some results about the isoperimetric problem in a family of Riemannian manifolds approximating the Heisenberg group. In this context we study constant mean curvature surfaces. Inspired by Abresch and Rosenberg techniques on holomorphic quadratic differentials, we classify isoperimetric sets under a topological assumption.","PeriodicalId":41199,"journal":{"name":"Bruno Pini Mathematical Analysis Seminar","volume":"8 1","pages":"102-120"},"PeriodicalIF":0.2,"publicationDate":"2018-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44933982","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On real bounded and regular ( n − k , k )–line KP solitons 关于实有界正则（n−k，k）线KP孤子
IF 0.2
Bruno Pini Mathematical Analysis Seminar Pub Date : 2018-05-31 DOI: 10.6092/ISSN.2240-2829/7693
S. Abenda
{"title":"On real bounded and regular ( n − k , k )–line KP solitons","authors":"S. Abenda","doi":"10.6092/ISSN.2240-2829/7693","DOIUrl":"https://doi.org/10.6092/ISSN.2240-2829/7693","url":null,"abstract":"After reviewing some of the recent results by S. Chakravarty and Y. Kodama and by Y. Kodama and L. Williams concerning the characterization of the asymptotic behavior of real regular and bounded multi–line soliton solutions to the KP-II equation, we introduce the finite–gap approach to the inverse spectral problem for this family of solutions.","PeriodicalId":41199,"journal":{"name":"Bruno Pini Mathematical Analysis Seminar","volume":"8 1","pages":"1-25"},"PeriodicalIF":0.2,"publicationDate":"2018-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48182957","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Identification for Degenerate Differential Problems of Hyperbolic Type 双曲型退化微分问题的辨识
IF 0.2
Bruno Pini Mathematical Analysis Seminar Pub Date : 2018-05-31 DOI: 10.6092/issn.2240-2829/8173
A. Favini
{"title":"Identification for Degenerate Differential Problems of Hyperbolic Type","authors":"A. Favini","doi":"10.6092/issn.2240-2829/8173","DOIUrl":"https://doi.org/10.6092/issn.2240-2829/8173","url":null,"abstract":"A degenerate identification problem in Hilbert space is considered. An application to second order evolution equations of hyperbolic type is also provided. The abstract results are applied to concrete differential problems.","PeriodicalId":41199,"journal":{"name":"Bruno Pini Mathematical Analysis Seminar","volume":"8 1","pages":"204-218"},"PeriodicalIF":0.2,"publicationDate":"2018-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45039155","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Characterizing Spheres in ℂ 2 by Their Levi Curvature: A Result à la Jellett 用李维曲率表征2型球面:一个结果(la Jellett)
IF 0.2
Bruno Pini Mathematical Analysis Seminar Pub Date : 2018-05-31 DOI: 10.6092/ISSN.2240-2829/7692
G. Tralli
{"title":"Characterizing Spheres in ℂ 2 by Their Levi Curvature: A Result à la Jellett","authors":"G. Tralli","doi":"10.6092/ISSN.2240-2829/7692","DOIUrl":"https://doi.org/10.6092/ISSN.2240-2829/7692","url":null,"abstract":"We investigate rigidity problems for a class of real hypersurfaces in ℂ 2 with constant Levi curvature. We present a recent result obtained in A Jellett type theorem for the Levi curvature (2017) in collaboration with V. Martino for the boundaries of starshaped circular domains.","PeriodicalId":41199,"journal":{"name":"Bruno Pini Mathematical Analysis Seminar","volume":"8 1","pages":"90-101"},"PeriodicalIF":0.2,"publicationDate":"2018-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48921946","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Optimal Concavity for Newtonian Potentials 牛顿势的最优凹性
IF 0.2
Bruno Pini Mathematical Analysis Seminar Pub Date : 2018-05-31 DOI: 10.6092/ISSN.2240-2829/7795
P. Salani
{"title":"Optimal Concavity for Newtonian Potentials","authors":"P. Salani","doi":"10.6092/ISSN.2240-2829/7795","DOIUrl":"https://doi.org/10.6092/ISSN.2240-2829/7795","url":null,"abstract":"In this note I give a short overview about convexity properties of solutions to elliptic equations in convex domains and convex rings and show a result about the optimal concavity of the Newtonian potential of a bounded convex domain in ℝ n , n ≥ 3, namely: if the Newtonian potential of a bounded domain is ”sufficiently concave”, then the domain is necessarily a ball. This result can be considered an unconventional overdetermined problem. This paper is based on a talk given by the author in Bologna at the ”Bruno Pini Mathematical Analysis Seminar”, which in turn was based on the paper P. Salani, A characterization of balls through optimal concavity for potential functions, Proc. AMS 143 (1) (2015), 173-183.","PeriodicalId":41199,"journal":{"name":"Bruno Pini Mathematical Analysis Seminar","volume":"8 1","pages":"26-42"},"PeriodicalIF":0.2,"publicationDate":"2018-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45507790","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
About Rays, Dreadlocks and Periodic Points in Transcendental Dynamics 关于超验动力学中的射线、脏辫和周期点
IF 0.2
Bruno Pini Mathematical Analysis Seminar Pub Date : 2018-05-31 DOI: 10.6092/ISSN.2240-2829/8168
A. Benini
{"title":"About Rays, Dreadlocks and Periodic Points in Transcendental Dynamics","authors":"A. Benini","doi":"10.6092/ISSN.2240-2829/8168","DOIUrl":"https://doi.org/10.6092/ISSN.2240-2829/8168","url":null,"abstract":"We study some aspects of the iteration of an entire map f over the complex plane ℂ. In many settings in complex dynamics one can define periodic curves (called dynamic rays) in the dynamical plane and study their relation with periodic points. The most famous example of this kind of results is the Douady-Hubbard landing theorem for polynomial dynamics. We describe an analogous statements for transcendental maps which satisfy some growth conditions and a further generalization to general transcendental maps with bounded postsingular set, without any growth assumption. We also describe some implications for rigidity. The results described here are from a joint work with Lasse Rempe-Gillen.","PeriodicalId":41199,"journal":{"name":"Bruno Pini Mathematical Analysis Seminar","volume":"8 1","pages":"153-167"},"PeriodicalIF":0.2,"publicationDate":"2018-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48257693","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the subelliptic eikonal equation 关于次椭圆象角方程
IF 0.2
Bruno Pini Mathematical Analysis Seminar Pub Date : 2018-05-31 DOI: 10.6092/ISSN.2240-2829/7798
P. Albano
{"title":"On the subelliptic eikonal equation","authors":"P. Albano","doi":"10.6092/ISSN.2240-2829/7798","DOIUrl":"https://doi.org/10.6092/ISSN.2240-2829/7798","url":null,"abstract":"On a bounded smooth domain, we consider the viscosity solution of the homogeneous Dirichlet problem for the eikonal equation associated with a system of Hormander’s vector fields. We present some results on the regularity and the structure of the singular support of such a function.","PeriodicalId":41199,"journal":{"name":"Bruno Pini Mathematical Analysis Seminar","volume":"8 1","pages":"73-89"},"PeriodicalIF":0.2,"publicationDate":"2018-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41490857","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","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 First Boundary Value Problem for Hypoelliptic Evolution Equations: Perron-Wiener Solutions and Cone-Type Criteria 关于半椭圆型演化方程的第一边值问题:Perron-Wiener解和锥型准则
IF 0.2
Bruno Pini Mathematical Analysis Seminar Pub Date : 2017-02-10 DOI: 10.6092/ISSN.2240-2829/6694
A. Kogoj
{"title":"On the First Boundary Value Problem for Hypoelliptic Evolution Equations: Perron-Wiener Solutions and Cone-Type Criteria","authors":"A. Kogoj","doi":"10.6092/ISSN.2240-2829/6694","DOIUrl":"https://doi.org/10.6092/ISSN.2240-2829/6694","url":null,"abstract":"For every bounded open set Ω in R N +1 , we study the first boundary problem for a wide class of hypoelliptic evolution operators. The operators are assumed to be endowed with a well behaved global fundamental solution that allows us to construct a generalized solution in the sense of Perron-Wiener of the Dirichlet problem. Then, we give a criterion of regularity for boundary points in terms of the behavior, close to the point, of the fundamental solution of the involved operator. We deduce exterior conetype criteria for operators of Kolmogorov-Fokker-Planck-type, for the heat operators and more general evolution invariant operators on Lie groups. Our criteria extend and generalize the classical parabolic-cone condition for the classical heat operator due to Effros and Kazdan. The results presented are contained in [K16].","PeriodicalId":41199,"journal":{"name":"Bruno Pini Mathematical Analysis Seminar","volume":"7 1","pages":"116-128"},"PeriodicalIF":0.2,"publicationDate":"2017-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42862871","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Noncommutative Fourier Analysis on Invariant Subspaces: Frames of Unitary Orbits and Hilbert Modules over Group von Neumann Algebras 不变子空间的非交换傅立叶分析:群von Neumann代数上的幺正轨道和Hilbert模的框架
IF 0.2
Bruno Pini Mathematical Analysis Seminar Pub Date : 2017-02-10 DOI: 10.6092/ISSN.2240-2829/6689
D. Barbieri
{"title":"Noncommutative Fourier Analysis on Invariant Subspaces: Frames of Unitary Orbits and Hilbert Modules over Group von Neumann Algebras","authors":"D. Barbieri","doi":"10.6092/ISSN.2240-2829/6689","DOIUrl":"https://doi.org/10.6092/ISSN.2240-2829/6689","url":null,"abstract":"Lavoro in collaborazione con E. Hernandez, J. Parcet e V. Paternostro. Discuteremo la struttura di basi e frames ottenute da orbite di rappresentazioni unitarie di gruppi discreti in sottospazi invarianti di spazi di Hilbert separabili. Tali spazi invarianti possono essere caratterizzati, attraverso intrallacciamenti, come moduli il cui anello dei coefficienti e dato dall'algebra di von Neumann del gruppo, e sono dotati inoltre di una mappa sesquilineare a valori in spazi di operatori di convoluzione densamente definiti, che definiscono una struttura di Hilbert. Si puo mostrare che i frames e le basi associate a famiglie numerabili di orbite hanno una controparte in queste strutture di Hilbert, che ammettono sistemi riproducenti. Questi risultati estendono nozioni chiave di analisi di Fourier e wavelets a sistemi piu generali che possono includere trasformazioni geometriche per gruppi cristallografici o rappresentazioni di gruppi di Heisenberg discreti.","PeriodicalId":41199,"journal":{"name":"Bruno Pini Mathematical Analysis Seminar","volume":"7 1","pages":"36-52"},"PeriodicalIF":0.2,"publicationDate":"2017-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41338718","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","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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