Analysis and Geometry in Metric Spaces Short Title: Anal. Geom. Metr. Spaces Publisher: De Gruyter, Warsaw ISSN: 2299-3274/e Online: https://www.degruyter.com/view/j/agms Comments: Indexed cover-to-cover; Published electronic only as of Vol. 1 (2013). This journal is available open access. Documents Indexed: 144 Publications (since 2013) References Indexed: 143 Publications with 4,025 References. all top 5 Latest Issues 10 (2022) 9 (2021) 8 (2020) 7 (2019) 6 (2018) 5 (2017) 4 (2016) 3 (2015) 2 (2014) 1 (2013) all top 5 Authors 4 Lahti, Panu 4 Lakzian, Sajjad 3 Ambrosio, Luigi 3 Hajłasz, Piotr 3 Schioppa, Andrea 3 Shanmugalingam, Nageswari 3 Yang, Dachun 2 Badger, Matthew 2 Bryant, David 2 Buckley, Stephen M. 2 Cheeger, Jeff 2 Gibara, Ryan 2 Hakkarainen, Heikki 2 Kapovitch, Vitali 2 Ketterer, Christian 2 Kinnunen, Juha 2 Kleiner, Bruce 2 Le Donne, Enrico 2 Lohkamp, Joachim 2 Mendel, Manor 2 Mennucci, Andrea Carlo Giuseppe 2 Montefalcone, Francescopaolo 2 Munn, Michael 2 Naor, Assaf 2 Nguyen, Khanh Ngoc 2 Ohta, Shin-ichi 2 Ostrovskii, Mikhail Iosifovich 2 Rajala, Tapio 2 Snipes, Marie A. 2 Soultanis, Elefterios 2 Tupper, Paul F. 2 Vellis, Vyron 2 Wang, Zhuang 1 Adamowicz, Tomasz 1 Aimar, Hugo A. 1 Akamatsu, Tomoya 1 Alarcón, Antonio 1 Antonelli, Gioacchino 1 Assouline, Rotem 1 Austin, Tim D. 1 Balogh, Zoltán M. 1 Barilari, Davide 1 Basso, Giuliano 1 Benjamini, Itai 1 Bertrand, Jérôme 1 Björn, Anders 1 Bongiovanni, Eliot 1 Boyer, Wyatt 1 Bramati, Roberto 1 Bruè, Elia 1 Buyalo, Sergei V. 1 Cao, Jun 1 Capogna, Luca 1 Cashen, Christopher H. 1 Castéras, Jean-baptiste 1 Cavalletti, Fabio 1 Cavallina, Lorenzo 1 Chambers, Gregory R. 1 Chang, Der-Chen E. 1 Chanillo, Sagun 1 Chen, Bin 1 Chen, Xiaming 1 Citti, Giovanna 1 Clais, Antoine 1 Colesanti, Andrea 1 Constantine, David 1 Cui, Jingshi 1 Cushing, David 1 Dafni, Galia 1 David, Guy 1 David, Guy C. 1 de Lira, Jorge Herbert Soares 1 Descombes, Dominic 1 Di Giosia, Leonardo 1 Dorninger, Dietmar W. 1 Drach, Kostiantyn 1 Eriksson-Bique, Sylvester 1 Espínola García, Rafael 1 Falk, Kurt 1 Ferrari, Fausto 1 Fisher, Nate 1 Franceschi, Valentina 1 Franchi, Bruno 1 Freeman, David Mandell 1 Funano, Kei 1 Georgiadis, Athanasios G. 1 Ghiraldin, Francesco 1 Gigli, Nicola 1 Giovannardi, Gianmarco 1 Goldhirsch, Tommaso 1 Gómez, Ivana 1 Gong, Jasun 1 Gong, Ruming 1 Granieri, Luca 1 Habib, Jahangir 1 Haghmaram, Pouya 1 Han, Bangxian 1 Han, Yongsheng 1 Hansevi, Daniel 1 He, Ziyi ...and 131 more Authors all top 5 Fields 63 Differential geometry (53-XX) 35 Functions of a complex variable (30-XX) 27 Functional analysis (46-XX) 23 Measure and integration (28-XX) 20 Real functions (26-XX) 20 General topology (54-XX) 19 Calculus of variations and optimal control; optimization (49-XX) 15 Potential theory (31-XX) 15 Geometry (51-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 11 Convex and discrete geometry (52-XX) 10 Global analysis, analysis on manifolds (58-XX) 8 Partial differential equations (35-XX) 7 Combinatorics (05-XX) 7 Group theory and generalizations (20-XX) 6 Topological groups, Lie groups (22-XX) 5 Probability theory and stochastic processes (60-XX) 4 Abstract harmonic analysis (43-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Manifolds and cell complexes (57-XX) 2 Algebraic geometry (14-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX) 1 Algebraic topology (55-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 106 Publications have been cited 661 times in 561 Documents Cited by ▼ Year ▼ An overview of the proof of the splitting theorem in spaces with non-negative Ricci curvature. Zbl 1310.53031Gigli, Nicola 49 2014 Musielak-Orlicz-Hardy spaces associated with operators satisfying reinforced off-diagonal estimates. Zbl 1261.42034Anh, Bui The; Cao, Jun; Ky, Luong Dang; Yang, Dachun; Yang, Sibei 39 2013 A primer on Carnot groups: homogenous groups, Carnot-Carathéodory spaces, and regularity of their isometries. Zbl 1392.53053Le Donne, Enrico 36 2017 A formula for Popp’s volume in sub-Riemannian geometry. Zbl 1260.53062Barilari, Davide; Rizzi, Luca 29 2013 Obata’s rigidity theorem for metric measure spaces. Zbl 1327.53051Ketterer, Christian 23 2015 Characterization of low dimensional \(RCD^\ast(K, N)\) spaces. Zbl 1348.53046Kitabeppu, Yu; Lakzian, Sajjad 21 2016 Stability and continuity of functions of least gradient. Zbl 1318.26028Hakkarainen, H.; Korte, R.; Lahti, P.; Shanmugalingam, N. 18 2015 On asymmetric distances. Zbl 1293.53081Mennucci, Andrea C. G. 18 2013 Spectral calculus and Lipschitz extension for barycentric metric spaces. Zbl 1297.54037Mendel, Manor; Naor, Assaf 17 2013 Monotone valuations on the space of convex functions. Zbl 1321.26027Cavallina, L.; Colesanti, A. 16 2015 Inverse limit spaces satisfying a Poincaré inequality. Zbl 1331.46016Cheeger, Jeff; Kleiner, Bruce 14 2015 Multiscale analysis of 1-rectifiable measures. II: Characterizations. Zbl 1360.28004Badger, Matthew; Schul, Raanan 14 2017 Differentiability and approximate differentiability for intrinsic Lipschitz functions in Carnot groups and a Rademacher theorem. Zbl 1307.22007Franchi, Bruno; Marchi, Marco; Serapioni, Raul Paolo 14 2014 Relaxation and integral representation for functionals of linear growth on metric measure spaces. Zbl 1354.49027Hakkarainen, Heikki; Kinnunen, Juha; Lahti, Panu; Lehtelä, Pekka 13 2016 Isoperimetric regions in \(\mathbb R^{n}\) with density \(r^{p}\). Zbl 1350.49060Boyer, Wyatt; Brown, Bryan; Chambers, Gregory R.; Loving, Alyssa; Tammen, Sarah 12 2016 Real-variable characterizations of Hardy-Lorentz spaces on spaces of homogeneous type with applications to real interpolation and boundedness of Calderón-Zygmund operators. Zbl 1466.46033Zhou, Xilin; He, Ziyi; Yang, Dachun 11 2020 Infinitesimal structure of differentiability spaces, and metric differentiation. Zbl 1360.30047Cheeger, Jeff; Kleiner, Bruce; Schioppa, Andrea 11 2016 Uniformly convex metric spaces. Zbl 1311.53062Kell, Martin 10 2014 Fractional maximal functions in metric measure spaces. Zbl 1275.42032Heikkinen, Toni; Lehrbäck, Juha; Nuutinen, Juho; Tuominen, Heli 9 2013 Volume bounds for the quantitative singular strata of non collapsed RCD metric measure spaces. Zbl 1428.53051Antonelli, Gioacchino; Brué, Elia; Semola, Daniele 9 2019 On the curvature and heat flow on Hamiltonian systems. Zbl 1295.53029Ohta, Shin-ichi 9 2014 Poincaré inequalities for mutually singular measures. Zbl 1310.26017Schioppa, Andrea 8 2015 Comparison of metric spectral gaps. Zbl 1316.46023Naor, Assaf 8 2014 Metric characterizations of superreflexivity in terms of word hyperbolic groups and finite graphs. Zbl 1318.46010Ostrovskii, Mikhail 8 2014 Traces of Besov, Triebel-Lizorkin and Sobolev spaces on metric spaces. Zbl 1394.46028Saksman, Eero; Soto, Tomás 7 2017 Weakly noncollapsed RCD spaces with upper curvature bounds. Zbl 1434.53069Kapovitch, Vitali; Ketterer, Christian 7 2019 Geodesics in the Heisenberg group. Zbl 1328.53039Hajłasz, Piotr; Zimmerman, Scott 7 2015 A universal separable diversity. Zbl 1402.54030Bryant, David; Nies, André; Tupper, Paul 6 2017 Flats in spaces with convex geodesic bicombings. Zbl 1341.53070Descombes, Dominic; Lang, Urs 6 2016 On conditions for unrectifiability of a metric space. Zbl 1321.28008Hajłasz, Piotr; Malekzadeh, Soheil 6 2015 Some invariant properties of quasi-Möbius maps. Zbl 1387.30086Heer, Loreno 5 2017 Sobolev-Kantorovich inequalities. Zbl 1326.35171Ledoux, Michel 5 2015 Resolvent flows for convex functionals and \(p\)-harmonic maps. Zbl 1314.53071Kuwae, Kazuhiro 5 2015 Gluing hyperconvex metric spaces. Zbl 1321.54053Miesch, Benjamin 5 2015 Conformal geometry and the composite membrane problem. Zbl 1258.35209Chanillo, Sagun 5 2013 Hyperbolic unfoldings of minimal hypersurfaces. Zbl 1401.30070Lohkamp, Joachim 5 2018 CMC spheres in the Heisenberg group. Zbl 1428.53073Franceschi, Valentina; Montefalcone, Francescopaolo; Monti, Roberto 5 2019 Integral representation of local left-invariant functionals in Carnot groups. Zbl 1468.49013Maione, A.; Vecchi, E. 5 2020 The geometry of model spaces for probability-preserving actions of sofic groups. Zbl 1353.37005Austin, Tim 5 2016 Incidence axioms for the boundary at infinity of complex hyperbolic spaces. Zbl 1344.53026Buyalo, Sergei; Schroeder, Viktor 5 2015 Geodesics in asymmetric metric spaces. Zbl 1310.53039Mennucci, Andrea C. G. 5 2014 Isoperimetric and stable sets for log-concave perturbations of Gaussian measures. Zbl 1304.49096Rosales, César 5 2014 Tight embeddability of proper and stable metric spaces. Zbl 1341.46015Baudier, F.; Lancien, G. 4 2015 A global Poincaré inequality on graphs via a conical curvature-dimension condition. Zbl 1388.05183Lakzian, Sajjad; McGuirk, Zachary 4 2018 Dimension distortion by Sobolev mappings in foliated metric spaces. Zbl 1285.46029Balogh, Zoltán M.; Tyson, Jeremy T.; Wildrick, Kevin 4 2013 Uniform Gaussian bounds for subelliptic heat kernels and an application to the total variation flow of graphs over Carnot groups. Zbl 1275.53055Capogna, Luca; Citti, Giovanna; Manfredini, Maria 4 2013 A non-probabilistic proof of the Assouad embedding theorem with bounds on the dimension. Zbl 1261.53039David, Guy; Snipes, Marie 4 2013 Nonexistence results for semilinear equations in Carnot groups. Zbl 1258.35197Ferrari, Fausto; Pinamonti, Andrea 4 2013 Remarks on manifolds with two-sided curvature bounds. Zbl 1483.53056Kapovitch, Vitali; Lytchak, Alexander 4 2021 Brascamp-Lieb inequalities on compact homogeneous spaces. Zbl 1480.43002Bramati, Roberto 4 2019 Constant distortion embeddings of symmetric diversities. Zbl 1356.51005Bryant, David; Tupper, Paul F. 4 2016 Hardy and Hardy-Sobolev spaces on strongly Lipschitz domains and some applications. Zbl 1354.42039Chen, Xiaming; Jiang, Renjin; Yang, Dachun 4 2016 Chordal Hausdorff convergence and quasihyperbolic distance. Zbl 1446.30060Herron, David A.; Richard, Abigail; Snipes, Marie A. 4 2020 Higher dimensional holonomy map for rules submanifolds in graded manifolds. Zbl 07235866Giovannardi, Gianmarco 4 2020 On the regularity of Alexandrov surfaces with curvature bounded below. Zbl 1353.53018Ambrosio, Luigi; Bertrand, Jérôme 4 2016 Some fine properties of BV functions on Wiener spaces. Zbl 1321.26058Ambrosio, Luigi; Miranda, Michele jun.; Pallara, Diego 4 2015 Trace operators on regular trees. Zbl 1478.46041Koskela, Pekka; Nguyen, Khanh Ngoc; Wang, Zhuang 4 2020 Some results on maps that factor through a tree. Zbl 1317.51008Züst, Roger 3 2015 The Lusin theorem and horizontal graphs in the Heisenberg group. Zbl 1286.46036Hajłasz, Piotr; Mirra, Jacob 3 2013 The Poincaré inequality does not improve with blow-up. Zbl 1442.31008Schioppa, Andrea 3 2016 Distance bounds for graphs with some negative Bakry-Émery curvature. Zbl 1416.05093Liu, Shiping; Münch, Florentin; Peyerimhoff, Norbert; Rose, Christian 3 2019 Scalar curvature via local extent. Zbl 1405.53050Veronelli, Giona 3 2018 Admissibility versus \(A_p\)-conditions on regular trees. Zbl 1451.30122Nguyen, Khanh Ngoc; Wang, Zhuang 3 2020 Quasi-isometries need not induce homeomorphisms of contracting boundaries with the Gromov product topology. Zbl 1377.20030Cashen, Christopher H. 3 2016 Lusin-type theorems for Cheeger derivatives on metric measure spaces. Zbl 1325.26030David, Guy C. 3 2015 On the volume of sections of the cube. Zbl 1466.52008Ivanov, Grigory; Tsiutsiurupa, Igor 3 2021 Embeddings between Triebel-Lizorkin spaces on metric spaces associated with operators. Zbl 1466.58007Georgiadis, Athanasios G.; Kyriazis, George 3 2020 Invertible Carnot groups. Zbl 1318.53023Freeman, David M. 3 2014 Metric perspectives of the Ricci flow applied to disjoint unions. Zbl 1322.53037Lakzian, Sajjad; Munn, Michael 3 2014 Double bubbles on the real line with log-convex density. Zbl 1396.49040Bongiovanni, Eliot; Di Giosia, Leonardo; Diaz, Alejandro; Habib, Jahangir; Kakkar, Arjun; Kenigsberg, Lea; Pittman, Dylanger; Sothanaphan, Nat; Zhu, Weitao 2 2018 Thinnest covering of the Euclidean plane with incongruent circles. Zbl 1386.52018Dorninger, Dietmar 2 2017 Angles between curves in metric measure spaces. Zbl 1391.53051Han, Bang-Xian; Mondino, Andrea 2 2017 The \(n\)-point condition and rough \(\text{CAT}(0)\). Zbl 1262.30073Buckley, Stephen M.; Hanson, Bruce 2 2013 Group approximation in Cayley topology and coarse geometry. II: Fibred coarse embeddings. Zbl 1479.20031Mimura, Masato; Sako, Hiroki 2 2019 Applications of integral geometry to geometric properties of sets in the 3D-Heisenberg group. Zbl 1361.53059Huang, Yen-Chang 2 2016 Geometry of generated groups with metrics induced by their Cayley color graphs. Zbl 07078489Suksumran, Teerapong 2 2019 Long-scale ollivier Ricci curvature of graphs. Zbl 1415.05036Cushing, D.; Kamtue, S. 2 2019 Bakry-Émery conditions on almost smooth metric measure spaces. Zbl 1405.53055Honda, Shouhei 2 2018 Duality of moduli and quasiconformal mappings in metric spaces. Zbl 1451.30117Jones, Rebekah; Lahti, Panu 2 2020 Complex interpolation of Lizorkin-Triebel-Morrey spaces on domains. Zbl 1478.46017Zhuo, Ciqiang; Hovemann, Marc; Sickel, Winfried 2 2020 Complete non-orientable minimal surfaces in \(\mathbb{R}^{3}\) and asymptotic behavior. Zbl 1304.49082Alarcón, Antonio; López, Francisco J. 2 2014 Riemannian polyhedra and Liouville-type theorems for harmonic maps. Zbl 1309.53056Sinaei, Zahra 2 2014 An analog of the Neumann problem for the 1-Laplace equation in the metric setting: existence, boundary regularity, and stability. Zbl 1391.30068Lahti, Panu; Malý, Lukáš; Shanmugalingam, Nageswari 1 2018 Combinatorial modulus on boundary of right-angled hyperbolic buildings. Zbl 1373.20052Clais, Antoine 1 2016 The \(p\)-Royden and \(p\)-harmonic boundaries for metric measure spaces. Zbl 1317.31021Lucia, Marcello; Puls, Michael J. 1 2015 Resistance conditions and applications. Zbl 1286.46037Kinnunen, Juha; Silvestre, Pilar 1 2013 Compactness of special functions of bounded higher variation. Zbl 1266.49090Ambrosio, Luigi; Ghiraldin, Francesco 1 2013 A simple proof of Dvoretzky-type theorem for Hausdorff dimension in doubling spaces. Zbl 1495.46016Mendel, Manor 1 2022 Lipschitz chain approximation of metric integral currents. Zbl 07604610Goldhirsch, Tommaso 1 2022 Comparison theorems on weighted Finsler manifolds and spacetimes with \(\epsilon\)-range. Zbl 1493.53098Lu, Yufeng; Minguzzi, Ettore; Ohta, Shin-ichi 1 2022 Isoperimetric symmetry breaking: a counterexample to a generalized form of the log-convex density conjecture. Zbl 1355.53005Morgan, Frank 1 2016 Applications of the ‘Ham Sandwich Theorem’ to eigenvalues of the Laplacian. Zbl 1354.58024Funano, Kei 1 2016 Weak capacity and modulus comparability in Ahlfors regular metric spaces. Zbl 1367.30043Lindquist, Jeff 1 2016 Perimeter-minimizing triple bubbles in the plane and the 2-sphere. Zbl 1418.49016Lawlor, Gary R. 1 2019 Boundary regularity for p-harmonic functions and solutions of obstacle problems on unbounded sets in metric spaces. Zbl 1436.31032Björn, Anders; Hansevi, Daniel 1 2019 Pull-back of metric currents and homological boundedness of BLD-elliptic spaces. Zbl 1435.30162Pankka, Pekka; Soultanis, Elefterios 1 2019 Lipschitz extensions to finitely many points. Zbl 1410.54017Basso, Giuliano 1 2018 An intrinsic characterization of five points in a CAT(0) space. Zbl 1475.53048Toyoda, Tetsu 1 2020 On the Hausdorff dimension of \(\mathrm{CAT}(\kappa)\) surfaces. Zbl 1350.28005Constantine, David; Lafont, Jean-François 1 2016 The boundary at infinity of a rough \(\mathrm{CAT}(0)\) space. Zbl 1296.51023Buckley, S. M.; Falk, K. 1 2014 A simple proof of Dvoretzky-type theorem for Hausdorff dimension in doubling spaces. Zbl 1495.46016Mendel, Manor 1 2022 Lipschitz chain approximation of metric integral currents. Zbl 07604610Goldhirsch, Tommaso 1 2022 Comparison theorems on weighted Finsler manifolds and spacetimes with \(\epsilon\)-range. Zbl 1493.53098Lu, Yufeng; Minguzzi, Ettore; Ohta, Shin-ichi 1 2022 Remarks on manifolds with two-sided curvature bounds. Zbl 1483.53056Kapovitch, Vitali; Lytchak, Alexander 4 2021 On the volume of sections of the cube. Zbl 1466.52008Ivanov, Grigory; Tsiutsiurupa, Igor 3 2021 Real-variable characterizations of Hardy-Lorentz spaces on spaces of homogeneous type with applications to real interpolation and boundedness of Calderón-Zygmund operators. Zbl 1466.46033Zhou, Xilin; He, Ziyi; Yang, Dachun 11 2020 Integral representation of local left-invariant functionals in Carnot groups. Zbl 1468.49013Maione, A.; Vecchi, E. 5 2020 Chordal Hausdorff convergence and quasihyperbolic distance. Zbl 1446.30060Herron, David A.; Richard, Abigail; Snipes, Marie A. 4 2020 Higher dimensional holonomy map for rules submanifolds in graded manifolds. Zbl 07235866Giovannardi, Gianmarco 4 2020 Trace operators on regular trees. Zbl 1478.46041Koskela, Pekka; Nguyen, Khanh Ngoc; Wang, Zhuang 4 2020 Admissibility versus \(A_p\)-conditions on regular trees. Zbl 1451.30122Nguyen, Khanh Ngoc; Wang, Zhuang 3 2020 Embeddings between Triebel-Lizorkin spaces on metric spaces associated with operators. Zbl 1466.58007Georgiadis, Athanasios G.; Kyriazis, George 3 2020 Duality of moduli and quasiconformal mappings in metric spaces. Zbl 1451.30117Jones, Rebekah; Lahti, Panu 2 2020 Complex interpolation of Lizorkin-Triebel-Morrey spaces on domains. Zbl 1478.46017Zhuo, Ciqiang; Hovemann, Marc; Sickel, Winfried 2 2020 An intrinsic characterization of five points in a CAT(0) space. Zbl 1475.53048Toyoda, Tetsu 1 2020 Commutators on weighted Morrey spaces on spaces of homogeneous type. Zbl 1466.42009Gong, Ruming; Li, Ji; Pozzi, Elodie; Vempati, Manasa N. 1 2020 BMO and the John-Nirenberg inequality on measure spaces. Zbl 1468.30097Dafni, Galia; Gibara, Ryan; Lavigne, Andrew 1 2020 Pointwise multipliers on weak Morrey spaces. Zbl 1475.42037Kawasumi, Ryota; Nakai, Eiichi 1 2020 Ultradiversification of diversities. Zbl 07360410Haghmaram, Pouya; Nourouzi, Kourosh 1 2020 Volume bounds for the quantitative singular strata of non collapsed RCD metric measure spaces. Zbl 1428.53051Antonelli, Gioacchino; Brué, Elia; Semola, Daniele 9 2019 Weakly noncollapsed RCD spaces with upper curvature bounds. Zbl 1434.53069Kapovitch, Vitali; Ketterer, Christian 7 2019 CMC spheres in the Heisenberg group. Zbl 1428.53073Franceschi, Valentina; Montefalcone, Francescopaolo; Monti, Roberto 5 2019 Brascamp-Lieb inequalities on compact homogeneous spaces. Zbl 1480.43002Bramati, Roberto 4 2019 Distance bounds for graphs with some negative Bakry-Émery curvature. Zbl 1416.05093Liu, Shiping; Münch, Florentin; Peyerimhoff, Norbert; Rose, Christian 3 2019 Group approximation in Cayley topology and coarse geometry. II: Fibred coarse embeddings. Zbl 1479.20031Mimura, Masato; Sako, Hiroki 2 2019 Geometry of generated groups with metrics induced by their Cayley color graphs. Zbl 07078489Suksumran, Teerapong 2 2019 Long-scale ollivier Ricci curvature of graphs. Zbl 1415.05036Cushing, D.; Kamtue, S. 2 2019 Perimeter-minimizing triple bubbles in the plane and the 2-sphere. Zbl 1418.49016Lawlor, Gary R. 1 2019 Boundary regularity for p-harmonic functions and solutions of obstacle problems on unbounded sets in metric spaces. Zbl 1436.31032Björn, Anders; Hansevi, Daniel 1 2019 Pull-back of metric currents and homological boundedness of BLD-elliptic spaces. Zbl 1435.30162Pankka, Pekka; Soultanis, Elefterios 1 2019 Hyperbolic unfoldings of minimal hypersurfaces. Zbl 1401.30070Lohkamp, Joachim 5 2018 A global Poincaré inequality on graphs via a conical curvature-dimension condition. Zbl 1388.05183Lakzian, Sajjad; McGuirk, Zachary 4 2018 Scalar curvature via local extent. Zbl 1405.53050Veronelli, Giona 3 2018 Double bubbles on the real line with log-convex density. Zbl 1396.49040Bongiovanni, Eliot; Di Giosia, Leonardo; Diaz, Alejandro; Habib, Jahangir; Kakkar, Arjun; Kenigsberg, Lea; Pittman, Dylanger; Sothanaphan, Nat; Zhu, Weitao 2 2018 Bakry-Émery conditions on almost smooth metric measure spaces. Zbl 1405.53055Honda, Shouhei 2 2018 An analog of the Neumann problem for the 1-Laplace equation in the metric setting: existence, boundary regularity, and stability. Zbl 1391.30068Lahti, Panu; Malý, Lukáš; Shanmugalingam, Nageswari 1 2018 Lipschitz extensions to finitely many points. Zbl 1410.54017Basso, Giuliano 1 2018 A primer on Carnot groups: homogenous groups, Carnot-Carathéodory spaces, and regularity of their isometries. Zbl 1392.53053Le Donne, Enrico 36 2017 Multiscale analysis of 1-rectifiable measures. II: Characterizations. Zbl 1360.28004Badger, Matthew; Schul, Raanan 14 2017 Traces of Besov, Triebel-Lizorkin and Sobolev spaces on metric spaces. Zbl 1394.46028Saksman, Eero; Soto, Tomás 7 2017 A universal separable diversity. Zbl 1402.54030Bryant, David; Nies, André; Tupper, Paul 6 2017 Some invariant properties of quasi-Möbius maps. Zbl 1387.30086Heer, Loreno 5 2017 Thinnest covering of the Euclidean plane with incongruent circles. Zbl 1386.52018Dorninger, Dietmar 2 2017 Angles between curves in metric measure spaces. Zbl 1391.53051Han, Bang-Xian; Mondino, Andrea 2 2017 Characterization of low dimensional \(RCD^\ast(K, N)\) spaces. Zbl 1348.53046Kitabeppu, Yu; Lakzian, Sajjad 21 2016 Relaxation and integral representation for functionals of linear growth on metric measure spaces. Zbl 1354.49027Hakkarainen, Heikki; Kinnunen, Juha; Lahti, Panu; Lehtelä, Pekka 13 2016 Isoperimetric regions in \(\mathbb R^{n}\) with density \(r^{p}\). Zbl 1350.49060Boyer, Wyatt; Brown, Bryan; Chambers, Gregory R.; Loving, Alyssa; Tammen, Sarah 12 2016 Infinitesimal structure of differentiability spaces, and metric differentiation. Zbl 1360.30047Cheeger, Jeff; Kleiner, Bruce; Schioppa, Andrea 11 2016 Flats in spaces with convex geodesic bicombings. Zbl 1341.53070Descombes, Dominic; Lang, Urs 6 2016 The geometry of model spaces for probability-preserving actions of sofic groups. Zbl 1353.37005Austin, Tim 5 2016 Constant distortion embeddings of symmetric diversities. Zbl 1356.51005Bryant, David; Tupper, Paul F. 4 2016 Hardy and Hardy-Sobolev spaces on strongly Lipschitz domains and some applications. Zbl 1354.42039Chen, Xiaming; Jiang, Renjin; Yang, Dachun 4 2016 On the regularity of Alexandrov surfaces with curvature bounded below. Zbl 1353.53018Ambrosio, Luigi; Bertrand, Jérôme 4 2016 The Poincaré inequality does not improve with blow-up. Zbl 1442.31008Schioppa, Andrea 3 2016 Quasi-isometries need not induce homeomorphisms of contracting boundaries with the Gromov product topology. Zbl 1377.20030Cashen, Christopher H. 3 2016 Applications of integral geometry to geometric properties of sets in the 3D-Heisenberg group. Zbl 1361.53059Huang, Yen-Chang 2 2016 Combinatorial modulus on boundary of right-angled hyperbolic buildings. Zbl 1373.20052Clais, Antoine 1 2016 Isoperimetric symmetry breaking: a counterexample to a generalized form of the log-convex density conjecture. Zbl 1355.53005Morgan, Frank 1 2016 Applications of the ‘Ham Sandwich Theorem’ to eigenvalues of the Laplacian. Zbl 1354.58024Funano, Kei 1 2016 Weak capacity and modulus comparability in Ahlfors regular metric spaces. Zbl 1367.30043Lindquist, Jeff 1 2016 On the Hausdorff dimension of \(\mathrm{CAT}(\kappa)\) surfaces. Zbl 1350.28005Constantine, David; Lafont, Jean-François 1 2016 Obata’s rigidity theorem for metric measure spaces. Zbl 1327.53051Ketterer, Christian 23 2015 Stability and continuity of functions of least gradient. Zbl 1318.26028Hakkarainen, H.; Korte, R.; Lahti, P.; Shanmugalingam, N. 18 2015 Monotone valuations on the space of convex functions. Zbl 1321.26027Cavallina, L.; Colesanti, A. 16 2015 Inverse limit spaces satisfying a Poincaré inequality. Zbl 1331.46016Cheeger, Jeff; Kleiner, Bruce 14 2015 Poincaré inequalities for mutually singular measures. Zbl 1310.26017Schioppa, Andrea 8 2015 Geodesics in the Heisenberg group. Zbl 1328.53039Hajłasz, Piotr; Zimmerman, Scott 7 2015 On conditions for unrectifiability of a metric space. Zbl 1321.28008Hajłasz, Piotr; Malekzadeh, Soheil 6 2015 Sobolev-Kantorovich inequalities. Zbl 1326.35171Ledoux, Michel 5 2015 Resolvent flows for convex functionals and \(p\)-harmonic maps. Zbl 1314.53071Kuwae, Kazuhiro 5 2015 Gluing hyperconvex metric spaces. Zbl 1321.54053Miesch, Benjamin 5 2015 Incidence axioms for the boundary at infinity of complex hyperbolic spaces. Zbl 1344.53026Buyalo, Sergei; Schroeder, Viktor 5 2015 Tight embeddability of proper and stable metric spaces. Zbl 1341.46015Baudier, F.; Lancien, G. 4 2015 Some fine properties of BV functions on Wiener spaces. Zbl 1321.26058Ambrosio, Luigi; Miranda, Michele jun.; Pallara, Diego 4 2015 Some results on maps that factor through a tree. Zbl 1317.51008Züst, Roger 3 2015 Lusin-type theorems for Cheeger derivatives on metric measure spaces. Zbl 1325.26030David, Guy C. 3 2015 The \(p\)-Royden and \(p\)-harmonic boundaries for metric measure spaces. Zbl 1317.31021Lucia, Marcello; Puls, Michael J. 1 2015 An overview of the proof of the splitting theorem in spaces with non-negative Ricci curvature. Zbl 1310.53031Gigli, Nicola 49 2014 Differentiability and approximate differentiability for intrinsic Lipschitz functions in Carnot groups and a Rademacher theorem. Zbl 1307.22007Franchi, Bruno; Marchi, Marco; Serapioni, Raul Paolo 14 2014 Uniformly convex metric spaces. Zbl 1311.53062Kell, Martin 10 2014 On the curvature and heat flow on Hamiltonian systems. Zbl 1295.53029Ohta, Shin-ichi 9 2014 Comparison of metric spectral gaps. Zbl 1316.46023Naor, Assaf 8 2014 Metric characterizations of superreflexivity in terms of word hyperbolic groups and finite graphs. Zbl 1318.46010Ostrovskii, Mikhail 8 2014 Geodesics in asymmetric metric spaces. Zbl 1310.53039Mennucci, Andrea C. G. 5 2014 Isoperimetric and stable sets for log-concave perturbations of Gaussian measures. Zbl 1304.49096Rosales, César 5 2014 Invertible Carnot groups. Zbl 1318.53023Freeman, David M. 3 2014 Metric perspectives of the Ricci flow applied to disjoint unions. Zbl 1322.53037Lakzian, Sajjad; Munn, Michael 3 2014 Complete non-orientable minimal surfaces in \(\mathbb{R}^{3}\) and asymptotic behavior. Zbl 1304.49082Alarcón, Antonio; López, Francisco J. 2 2014 Riemannian polyhedra and Liouville-type theorems for harmonic maps. Zbl 1309.53056Sinaei, Zahra 2 2014 The boundary at infinity of a rough \(\mathrm{CAT}(0)\) space. Zbl 1296.51023Buckley, S. M.; Falk, K. 1 2014 Inverse function theorems and Jacobians over metric spaces. Zbl 1309.26015Granieri, Luca 1 2014 Heisenberg Hausdorff dimension of Besicovich sets. Zbl 1303.28008Venieri, Laura 1 2014 Musielak-Orlicz-Hardy spaces associated with operators satisfying reinforced off-diagonal estimates. Zbl 1261.42034Anh, Bui The; Cao, Jun; Ky, Luong Dang; Yang, Dachun; Yang, Sibei 39 2013 A formula for Popp’s volume in sub-Riemannian geometry. 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Zbl 1275.53055Capogna, Luca; Citti, Giovanna; Manfredini, Maria 4 2013 ...and 6 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 640 Authors 23 Yang, Dachun 18 Lahti, Panu 13 Le Donne, Enrico 12 Gigli, Nicola 12 Naor, Assaf 11 Pinamonti, Andrea 10 Rizzi, Luca 9 Antonelli, Gioacchino 9 Honda, Shouhei 9 Ketterer, Christian 8 Kapovitch, Vitali 8 Yang, Sibei 7 Colesanti, Andrea 7 Mondino, Andrea 7 Semola, Daniele 7 Shanmugalingam, Nageswari 7 Yuan, Wen 7 Zhuo, Ciqiang 6 Ambrosio, Luigi 6 Bruè, Elia 6 Citti, Giovanna 6 Kell, Martin 6 Pasqualetto, Enrico 6 Ritoré, Manuel 6 Schioppa, Andrea 6 Wang, Zhuang 5 Barilari, Davide 5 Baudier, Florent P. 5 Brock, Friedemann 5 Chiacchio, Francesco 5 David, Guy C. 5 Eriksson-Bique, Sylvester 5 Górny, Wojciech 5 Han, Bangxian 5 Lakzian, Sajjad 5 Li, Baode 5 Li, Xining 5 Liu, Xiong 5 Merlo, Andrea 5 Ostrovskii, Mikhail Iosifovich 5 Sturm, Karl-Theodor 5 The Anh Bui 4 Badger, Matthew 4 Basso, Giuliano 4 Duong, Xuan Thinh 4 Fässler, Katrin S. 4 Franceschi, Valentina 4 He, Ziyi 4 Kitabeppu, Yu 4 Liu, Shiping 4 Lytchak, Alexander 4 Mendel, Manor 4 Mercaldo, Anna 4 Moisala, Terhi 4 Mondello, Ilaria 4 Mussnig, Fabian 4 Rajala, Tapio 4 Rigoni, Chiara 4 Wang, Fan 3 Adamowicz, Tomasz 3 Agrachev, Andreĭ Aleksandrovich 3 Alvino, Angelo 3 Bertrand, Jérôme 3 Boscain, Ugo 3 Capogna, Luca 3 Cushing, David 3 De Philippis, Guido 3 Gartland, Chris 3 Giovannardi, Gianmarco 3 Hajłasz, Piotr 3 Herron, David A. 3 Kinnunen, Juha 3 Kleiner, Bruce 3 Korte, Riikka 3 Koskela, Pekka 3 Kuwada, Kazumasa 3 Ky, Luong Dang 3 Li, Bo 3 Li, Yaxiang 3 Liu, Feng 3 Lohkamp, Joachim 3 Ludwig, Monika 3 Magnani, Valentino 3 Maione, Alberto 3 Mennucci, Andrea Carlo Giuseppe 3 Münch, Florentin 3 Neel, Robert Weston 3 Nourouzi, Kourosh 3 Ohta, Shin-ichi 3 Pallara, Diego 3 Peyerimhoff, Norbert 3 Posteraro, Maria Rosaria 3 Pratelli, Aldo 3 Prisuelos-Arribas, Cruz 3 Schlumprecht, Thomas 3 Soultanis, Elefterios 3 Speight, Gareth 3 Stefani, Giorgio 3 Vecchi, Eugenio 3 Zhao, Kai ...and 540 more Authors all top 5 Cited in 167 Journals 34 The Journal of Geometric Analysis 34 Analysis and Geometry in Metric Spaces 25 Calculus of Variations and Partial Differential Equations 23 Journal of Functional Analysis 17 Proceedings of the American Mathematical Society 16 Advances in Mathematics 16 Potential Analysis 15 Journal of Mathematical Analysis and Applications 15 Nonlinear Analysis. 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RACSAM 2 Advances in Nonlinear Analysis 2 Complex Analysis and its Synergies 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 Bulletin of the Australian Mathematical Society 1 Discrete Mathematics 1 Israel Journal of Mathematics 1 Mathematical Methods in the Applied Sciences 1 Mathematical Notes 1 Journal of Geometry and Physics 1 The Mathematical Intelligencer 1 American Journal of Mathematics 1 The Annals of Probability 1 Canadian Journal of Mathematics 1 Compositio Mathematica 1 Czechoslovak Mathematical Journal 1 Dissertationes Mathematicae ...and 67 more Journals all top 5 Cited in 44 Fields 232 Differential geometry (53-XX) 136 Functional analysis (46-XX) 106 Functions of a complex variable (30-XX) 95 Calculus of variations and optimal control; optimization (49-XX) 78 Harmonic analysis on Euclidean spaces (42-XX) 75 Partial differential equations (35-XX) 74 Measure and integration (28-XX) 65 Global analysis, analysis on manifolds (58-XX) 58 Real functions (26-XX) 48 Geometry (51-XX) 42 Topological groups, Lie groups (22-XX) 39 General topology (54-XX) 38 Potential theory (31-XX) 33 Convex and discrete geometry (52-XX) 30 Combinatorics (05-XX) 28 Operator theory (47-XX) 23 Group theory and generalizations (20-XX) 17 Probability theory and stochastic processes (60-XX) 14 Dynamical systems and ergodic theory (37-XX) 9 Abstract harmonic analysis (43-XX) 8 Manifolds and cell complexes (57-XX) 7 Several complex variables and analytic spaces (32-XX) 5 Difference and functional equations (39-XX) 5 Approximations and expansions (41-XX) 5 Computer science (68-XX) 4 General and overarching topics; collections (00-XX) 4 Integral transforms, operational calculus (44-XX) 4 Numerical analysis (65-XX) 4 Mechanics of deformable solids (74-XX) 4 Quantum theory (81-XX) 3 Algebraic geometry (14-XX) 3 Sequences, series, summability (40-XX) 3 Algebraic topology (55-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Nonassociative rings and algebras (17-XX) 2 Relativity and gravitational theory (83-XX) 2 Operations research, mathematical programming (90-XX) 1 Mathematical logic and foundations (03-XX) 1 General algebraic systems (08-XX) 1 Statistics (62-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year