Analysis and Geometry in Metric Spaces is an open access electronic journal that publishes cutting-edge research on analytical and geometrical problems in metric spaces and applications. We strive to present a forum where all aspects of these problems can be discussed. AGMS is devoted to the publication of results on these and related topics: Geometric inequalities in metric spaces, Geometric measure theory and variational problems in metric spaces, Analytic and geometric problems in metric measure spaces, probability spaces, and manifolds with density, Analytic and geometric problems in sub-riemannian manifolds, Carnot groups, and pseudo-hermitian manifolds. Geometric control theory, Curvature in metric and length spaces, Geometric group theory, Harmonic Analysis. Potential theory, Mass transportation problems, Quasiconformal and quasiregular mappings. Quasiconformal geometry, PDEs associated to analytic and geometric problems in metric spaces.
《度量空间中的分析和几何》是一本开放获取的电子期刊,发表度量空间中分析和几何问题及其应用的前沿研究。我们努力提出一个论坛,所有方面的这些问题可以讨论。AGMS致力于出版的结果,这些和相关的主题:几何不等式在度量空间,几何测度理论和变分问题在度量空间,分析和几何问题在度量测度空间,概率空间,流形与密度,分析和几何问题在次黎曼流形,卡诺群,和伪埃尔米特流形。几何控制理论,曲率在度量和长度空间,几何群论,调和分析。势理论,质量输运问题,拟共形映射和拟正则映射。拟共形几何,与度量空间中的解析和几何问题相关的偏微分方程。
Weakly Noncollapsed RCD Spaces with Upper Curvature Bounds
来源期刊:Analysis and Geometry in Metric SpacesDOI:10.1515/agms-2019-0010
Volume Bounds for the Quantitative Singular Strata of Non Collapsed RCD Metric Measure Spaces
来源期刊:Analysis and Geometry in Metric SpacesDOI:10.1515/agms-2019-0008
Brascamp–Lieb Inequalities on Compact Homogeneous Spaces
来源期刊:Analysis and Geometry in Metric SpacesDOI:10.1515/agms-2019-0007
Duality of Moduli and Quasiconformal Mappings in Metric Spaces
来源期刊:Analysis and Geometry in Metric SpacesDOI:10.1515/agms-2020-0112
Admissibility versus Ap-Conditions on Regular Trees
来源期刊:Analysis and Geometry in Metric SpacesDOI:10.1515/agms-2020-0110
Integral Representation of Local Left–Invariant Functionals in Carnot Groups
来源期刊:Analysis and Geometry in Metric SpacesDOI:10.1515/agms-2020-0001
Antisymmetry of the Stochastical Order on all Ordered Topological Spaces
来源期刊:Analysis and Geometry in Metric SpacesDOI:10.1515/agms-2019-0012
Higher Dimensional Holonomy Map for Rules Submanifolds in Graded Manifolds
来源期刊:Analysis and Geometry in Metric SpacesDOI:10.1515/agms-2020-0105
Boundary Regularity for p-Harmonic Functions and Solutions of Obstacle Problems on Unbounded Sets in Metric Spaces
来源期刊:Analysis and Geometry in Metric SpacesDOI:10.1515/agms-2019-0009
Perimeter-Minimizing Triple Bubbles in the Plane and the 2-Sphere
来源期刊:Analysis and Geometry in Metric SpacesDOI:10.1515/agms-2019-0004
Intersections of Projections and Slicing Theorems for the Isotropic Grassmannian and the Heisenberg group
来源期刊:Analysis and Geometry in Metric SpacesDOI:10.1515/agms-2020-0002