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/journal/key/agms/html#issues Comments: Journal; Indexed cover-to-cover; Published electronic only as of Vol. 1 (2013). This journal is available open access. Documents Indexed: 155 Publications (since 2013) References Indexed: 154 Publications with 4,416 References. all top 5 Latest Issues 12 (2024) 11 (2023) 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 Badger, Matthew 3 Hajłasz, Piotr 3 Mennucci, Andrea Carlo Giuseppe 3 Schioppa, Andrea 3 Shanmugalingam, Nageswari 3 Yang, Dachun 2 Bryant, David 2 Buckley, Stephen M. 2 Cheeger, Jeff 2 Franchi, Bruno 2 Gibara, Ryan 2 Hakkarainen, Heikki 2 Kapovitch, Vitali 2 Ketterer, Christian 2 Kinnunen, Juha 2 Kleiner, Bruce 2 Le Donne, Enrico 2 Li, Sean 2 Lohkamp, Joachim 2 Lu, Guanghui 2 Mendel, Manor 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 Tao, Shuangping 2 Toyoda, Tetsu 2 Tupper, Paul F. 2 Vellis, Vyron 2 Wang, Miaomiao 2 Wang, Zhuang 2 Zimmerman, Scott 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 Bilet, Viktoriia Viktorivna 1 Björn, Anders 1 Bongiovanni, Eliot 1 Boyer, Wyatt 1 Bramati, Roberto 1 Brown, Bryan W. 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 Dovgoshey, Oleksiy Alfredovich 1 Drach, Kostiantyn 1 Eriksson-Bique, Sylvester 1 Espínola García, Rafael 1 Falk, Kurt 1 Ferrari, Fausto 1 Fisher, Nate 1 Franceschi, Valentina 1 Freeman, David Mandell 1 Fujioka, Tadashi 1 Funano, Kei 1 Georgiadis, Athanasios G. 1 Ghiraldin, Francesco 1 Gigli, Nicola 1 Giovannardi, Gianmarco 1 Goldhirsch, Tommaso ...and 145 more Authors all top 5 Fields 69 Differential geometry (53-XX) 36 Functions of a complex variable (30-XX) 29 Functional analysis (46-XX) 26 Measure and integration (28-XX) 23 General topology (54-XX) 21 Real functions (26-XX) 19 Calculus of variations and optimal control; optimization (49-XX) 16 Potential theory (31-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 15 Geometry (51-XX) 12 Global analysis, analysis on manifolds (58-XX) 11 Convex and discrete geometry (52-XX) 8 Group theory and generalizations (20-XX) 8 Partial differential equations (35-XX) 7 Combinatorics (05-XX) 7 Topological groups, Lie groups (22-XX) 6 Abstract harmonic analysis (43-XX) 5 Probability theory and stochastic processes (60-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Operator theory (47-XX) 3 Manifolds and cell complexes (57-XX) 2 Algebraic geometry (14-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Algebraic topology (55-XX) 1 Numerical analysis (65-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 124 Publications have been cited 857 times in 721 Documents Cited by ▼ Year ▼ An overview of the proof of the splitting theorem in spaces with non-negative Ricci curvature. Zbl 1310.53031 Gigli, Nicola 63 2014 A primer on Carnot groups: homogenous groups, Carnot-Carathéodory spaces, and regularity of their isometries. Zbl 1392.53053 Le Donne, Enrico 48 2017 Musielak-Orlicz-Hardy spaces associated with operators satisfying reinforced off-diagonal estimates. Zbl 1261.42034 Anh, Bui The; Cao, Jun; Ky, Luong Dang; Yang, Dachun; Yang, Sibei 47 2013 Obata’s rigidity theorem for metric measure spaces. Zbl 1327.53051 Ketterer, Christian 31 2015 Characterization of low dimensional \(RCD^\ast(K, N)\) spaces. Zbl 1348.53046 Kitabeppu, Yu; Lakzian, Sajjad 29 2016 A formula for Popp’s volume in sub-Riemannian geometry. Zbl 1260.53062 Barilari, Davide; Rizzi, Luca 28 2013 On asymmetric distances. Zbl 1293.53081 Mennucci, Andrea C. G. 23 2013 Stability and continuity of functions of least gradient. Zbl 1318.26028 Hakkarainen, H.; Korte, R.; Lahti, P.; Shanmugalingam, N. 21 2015 Relaxation and integral representation for functionals of linear growth on metric measure spaces. Zbl 1354.49027 Hakkarainen, Heikki; Kinnunen, Juha; Lahti, Panu; Lehtelä, Pekka 20 2016 Multiscale analysis of 1-rectifiable measures. II: Characterizations. Zbl 1360.28004 Badger, Matthew; Schul, Raanan 19 2017 Monotone valuations on the space of convex functions. Zbl 1321.26027 Cavallina, L.; Colesanti, A. 18 2015 Isoperimetric regions in \(\mathbb R^{n}\) with density \(r^{p}\). Zbl 1350.49060 Boyer, Wyatt; Brown, Bryan; Chambers, Gregory R.; Loving, Alyssa; Tammen, Sarah 18 2016 Inverse limit spaces satisfying a Poincaré inequality. Zbl 1331.46016 Cheeger, Jeff; Kleiner, Bruce 17 2015 Spectral calculus and Lipschitz extension for barycentric metric spaces. Zbl 1297.54037 Mendel, Manor; Naor, Assaf 17 2013 Differentiability and approximate differentiability for intrinsic Lipschitz functions in Carnot groups and a Rademacher theorem. Zbl 1307.22007 Franchi, Bruno; Marchi, Marco; Serapioni, Raul Paolo 16 2014 Real-variable characterizations of Hardy-Lorentz spaces on spaces of homogeneous type with applications to real interpolation and boundedness of Calderón-Zygmund operators. Zbl 1466.46033 Zhou, Xilin; He, Ziyi; Yang, Dachun 15 2020 Infinitesimal structure of differentiability spaces, and metric differentiation. Zbl 1360.30047 Cheeger, Jeff; Kleiner, Bruce; Schioppa, Andrea 14 2016 Volume bounds for the quantitative singular strata of non collapsed RCD metric measure spaces. Zbl 1428.53051 Antonelli, Gioacchino; Brué, Elia; Semola, Daniele 13 2019 Uniformly convex metric spaces. Zbl 1311.53062 Kell, Martin 12 2014 Fractional maximal functions in metric measure spaces. Zbl 1275.42032 Heikkinen, Toni; Lehrbäck, Juha; Nuutinen, Juho; Tuominen, Heli 12 2013 Metric characterizations of superreflexivity in terms of word hyperbolic groups and finite graphs. Zbl 1318.46010 Ostrovskii, Mikhail 10 2014 Traces of Besov, Triebel-Lizorkin and Sobolev spaces on metric spaces. Zbl 1394.46028 Saksman, Eero; Soto, Tomás 9 2017 Poincaré inequalities for mutually singular measures. Zbl 1310.26017 Schioppa, Andrea 9 2015 On the curvature and heat flow on Hamiltonian systems. Zbl 1295.53029 Ohta, Shin-ichi 9 2014 Integral representation of local left-invariant functionals in Carnot groups. Zbl 1468.49013 Maione, A.; Vecchi, E. 9 2020 Geodesics in the Heisenberg group. Zbl 1328.53039 Hajłasz, Piotr; Zimmerman, Scott 8 2015 On the regularity of Alexandrov surfaces with curvature bounded below. Zbl 1353.53018 Ambrosio, Luigi; Bertrand, Jérôme 8 2016 Gluing hyperconvex metric spaces. Zbl 1321.54053 Miesch, Benjamin 8 2015 Comparison of metric spectral gaps. Zbl 1316.46023 Naor, Assaf 8 2014 A non-probabilistic proof of the Assouad embedding theorem with bounds on the dimension. Zbl 1261.53039 David, Guy; Snipes, Marie 8 2013 A universal separable diversity. Zbl 1402.54030 Bryant, David; Nies, André; Tupper, Paul 7 2017 On conditions for unrectifiability of a metric space. Zbl 1321.28008 Hajłasz, Piotr; Malekzadeh, Soheil 7 2015 Flats in spaces with convex geodesic bicombings. Zbl 1341.53070 Descombes, Dominic; Lang, Urs 7 2016 Weakly noncollapsed RCD spaces with upper curvature bounds. Zbl 1434.53069 Kapovitch, Vitali; Ketterer, Christian 7 2019 The Poincaré inequality does not improve with blow-up. Zbl 1442.31008 Schioppa, Andrea 6 2016 Geodesics in asymmetric metric spaces. Zbl 1310.53039 Mennucci, Andrea C. G. 6 2014 Isoperimetric and stable sets for log-concave perturbations of Gaussian measures. Zbl 1304.49096 Rosales, César 6 2014 Some results on maps that factor through a tree. Zbl 1317.51008 Züst, Roger 6 2015 Complex interpolation of Lizorkin-Triebel-Morrey spaces on domains. Zbl 1478.46017 Zhuo, Ciqiang; Hovemann, Marc; Sickel, Winfried 6 2020 Remarks on manifolds with two-sided curvature bounds. Zbl 1483.53056 Kapovitch, Vitali; Lytchak, Alexander 6 2021 Constant distortion embeddings of symmetric diversities. Zbl 1356.51005 Bryant, David; Tupper, Paul F. 5 2016 Hardy and Hardy-Sobolev spaces on strongly Lipschitz domains and some applications. Zbl 1354.42039 Chen, Xiaming; Jiang, Renjin; Yang, Dachun 5 2016 Incidence axioms for the boundary at infinity of complex hyperbolic spaces. Zbl 1344.53026 Buyalo, Sergei; Schroeder, Viktor 5 2015 Some invariant properties of quasi-Möbius maps. Zbl 1387.30086 Heer, Loreno 5 2017 Resolvent flows for convex functionals and \(p\)-harmonic maps. Zbl 1314.53071 Kuwae, Kazuhiro 5 2015 Sobolev-Kantorovich inequalities. Zbl 1326.35171 Ledoux, Michel 5 2015 Some fine properties of BV functions on Wiener spaces. Zbl 1321.26058 Ambrosio, Luigi; Miranda, Michele jun.; Pallara, Diego 5 2015 CMC spheres in the Heisenberg group. Zbl 1428.53073 Franceschi, Valentina; Montefalcone, Francescopaolo; Monti, Roberto 5 2019 The geometry of model spaces for probability-preserving actions of sofic groups. Zbl 1353.37005 Austin, Tim 5 2016 Trace operators on regular trees. Zbl 1478.46041 Koskela, Pekka; Nguyen, Khanh Ngoc; Wang, Zhuang 5 2020 Conformal geometry and the composite membrane problem. Zbl 1258.35209 Chanillo, Sagun 5 2013 Scalar curvature via local extent. Zbl 1405.53050 Veronelli, Giona 5 2018 Hyperbolic unfoldings of minimal hypersurfaces. Zbl 1401.30070 Lohkamp, Joachim 5 2018 A global Poincaré inequality on graphs via a conical curvature-dimension condition. Zbl 1388.05183 Lakzian, Sajjad; McGuirk, Zachary 4 2018 Metric perspectives of the Ricci flow applied to disjoint unions. Zbl 1322.53037 Lakzian, Sajjad; Munn, Michael 4 2014 Tight embeddability of proper and stable metric spaces. Zbl 1341.46015 Baudier, F.; Lancien, G. 4 2015 Double bubbles on the real line with log-convex density. Zbl 1396.49040 Bongiovanni, Eliot; Di Giosia, Leonardo; Diaz, Alejandro; Habib, Jahangir; Kakkar, Arjun; Kenigsberg, Lea; Pittman, Dylanger; Sothanaphan, Nat; Zhu, Weitao 4 2018 Brascamp-Lieb inequalities on compact homogeneous spaces. Zbl 1480.43002 Bramati, Roberto 4 2019 Admissibility versus \(A_p\)-conditions on regular trees. Zbl 1451.30122 Nguyen, Khanh Ngoc; Wang, Zhuang 4 2020 An intrinsic characterization of five points in a CAT(0) space. Zbl 1475.53048 Toyoda, Tetsu 4 2020 Chordal Hausdorff convergence and quasihyperbolic distance. Zbl 1446.30060 Herron, David A.; Richard, Abigail; Snipes, Marie A. 4 2020 Higher dimensional holonomy map for rules submanifolds in graded manifolds. Zbl 1511.53039 Giovannardi, Gianmarco 4 2020 Quasi-isometries need not induce homeomorphisms of contracting boundaries with the Gromov product topology. Zbl 1377.20030 Cashen, Christopher H. 4 2016 Dimension distortion by Sobolev mappings in foliated metric spaces. Zbl 1285.46029 Balogh, 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 1275.53055 Capogna, Luca; Citti, Giovanna; Manfredini, Maria 4 2013 Embeddings between Triebel-Lizorkin spaces on metric spaces associated with operators. Zbl 1466.58007 Georgiadis, Athanasios G.; Kyriazis, George 4 2020 Comparison theorems on weighted Finsler manifolds and spacetimes with \(\epsilon\)-range. Zbl 1493.53098 Lu, Yufeng; Minguzzi, Ettore; Ohta, Shin-ichi 4 2022 Nonexistence results for semilinear equations in Carnot groups. Zbl 1258.35197 Ferrari, Fausto; Pinamonti, Andrea 4 2013 Bakry-Émery conditions on almost smooth metric measure spaces. Zbl 1405.53055 Honda, Shouhei 4 2018 Long-scale ollivier Ricci curvature of graphs. Zbl 1415.05036 Cushing, D.; Kamtue, S. 4 2019 Lusin-type theorems for Cheeger derivatives on metric measure spaces. Zbl 1325.26030 David, Guy C. 3 2015 Thinnest covering of the Euclidean plane with incongruent circles. Zbl 1386.52018 Dorninger, Dietmar 3 2017 Angles between curves in metric measure spaces. Zbl 1391.53051 Han, Bang-Xian; Mondino, Andrea 3 2017 Invertible Carnot groups. Zbl 1318.53023 Freeman, David M. 3 2014 Applications of integral geometry to geometric properties of sets in the 3D-Heisenberg group. Zbl 1361.53059 Huang, Yen-Chang 3 2016 The Lusin theorem and horizontal graphs in the Heisenberg group. Zbl 1286.46036 Hajłasz, Piotr; Mirra, Jacob 3 2013 Commutators on weighted Morrey spaces on spaces of homogeneous type. Zbl 1466.42009 Gong, Ruming; Li, Ji; Pozzi, Elodie; Vempati, Manasa N. 3 2020 Pointwise multipliers on weak Morrey spaces. Zbl 1475.42037 Kawasumi, Ryota; Nakai, Eiichi 3 2020 On the volume of sections of the cube. Zbl 1466.52008 Ivanov, Grigory; Tsiutsiurupa, Igor 3 2021 Distance bounds for graphs with some negative Bakry-Émery curvature. Zbl 1416.05093 Liu, Shiping; Münch, Florentin; Peyerimhoff, Norbert; Rose, Christian 3 2019 Perimeter-minimizing triple bubbles in the plane and the 2-sphere. Zbl 1418.49016 Lawlor, Gary R. 3 2019 An analog of the Neumann problem for the 1-Laplace equation in the metric setting: existence, boundary regularity, and stability. Zbl 1391.30068 Lahti, Panu; Malý, Lukáš; Shanmugalingam, Nageswari 2 2018 Isoperimetric symmetry breaking: a counterexample to a generalized form of the log-convex density conjecture. Zbl 1355.53005 Morgan, Frank 2 2016 Applications of the ‘Ham Sandwich Theorem’ to eigenvalues of the Laplacian. Zbl 1354.58024 Funano, Kei 2 2016 Combinatorial modulus on boundary of right-angled hyperbolic buildings. Zbl 1373.20052 Clais, Antoine 2 2016 Complete non-orientable minimal surfaces in \(\mathbb{R}^{3}\) and asymptotic behavior. Zbl 1304.49082 Alarcón, Antonio; López, Francisco J. 2 2014 Riemannian polyhedra and Liouville-type theorems for harmonic maps. Zbl 1309.53056 Sinaei, Zahra 2 2014 5-point CAT(0) spaces after Tetsu Toyoda. Zbl 1484.53079 Lebedeva, Nina; Petrunin, Anton 2 2021 Group approximation in Cayley topology and coarse geometry. II: Fibred coarse embeddings. Zbl 1479.20031 Mimura, Masato; Sako, Hiroki 2 2019 Duality of moduli and quasiconformal mappings in metric spaces. Zbl 1451.30117 Jones, Rebekah; Lahti, Panu 2 2020 The boundary at infinity of a rough \(\mathrm{CAT}(0)\) space. Zbl 1296.51023 Buckley, S. M.; Falk, K. 2 2014 Fractional type Marcinkiewicz integral operator associated with \(\Theta\)-type generalized fractional kernel and its commutator on non-homogeneous spaces. Zbl 1497.42034 Lu, Guanghui; Tao, Shuangping; Wang, Miaomiao 2 2022 Lipschitz chain approximation of metric integral currents. Zbl 1509.49022 Goldhirsch, Tommaso 2 2022 Hölder parameterization of iterated function systems and a self-affine phenomenon. Zbl 1479.28003 Badger, Matthew; Vellis, Vyron 2 2021 The \(n\)-point condition and rough \(\text{CAT}(0)\). Zbl 1262.30073 Buckley, Stephen M.; Hanson, Bruce 2 2013 Concentration of product spaces. Zbl 1485.53055 Kazukawa, Daisuke 2 2021 Inradius estimates for convex domains in 2-dimensional Alexandrov spaces. Zbl 1448.53072 Drach, Kostiantyn 2 2018 Geometry of generated groups with metrics induced by their Cayley color graphs. Zbl 1515.20236 Suksumran, Teerapong 2 2019 Bi-Lipschitz bijections of \(\mathbb Z\). Zbl 1325.26011 Benjamini, Itai; Shamov, Alexander 1 2015 BiLipschitz decomposition of Lipschitz maps between Carnot groups. Zbl 1331.53055 Li, Sean 1 2015 A non-geodesic analogue of Reshetnyak’s majorization theorem. Zbl 07709542 Toyoda, Tetsu 1 2023 On the problem of prescribing weighted scalar curvature and the weighted Yamabe flow. Zbl 1520.53026 Ho, Pak Tung; Shin, Jinwoo 1 2023 Characterization of Lipschitz functions via the commutators of multilinear fractional integral operators in variable Lebesgue spaces. Zbl 1528.42033 Zhang, Pu; Wu, Jianglong 1 2023 Comparison theorems on weighted Finsler manifolds and spacetimes with \(\epsilon\)-range. Zbl 1493.53098 Lu, Yufeng; Minguzzi, Ettore; Ohta, Shin-ichi 4 2022 Fractional type Marcinkiewicz integral operator associated with \(\Theta\)-type generalized fractional kernel and its commutator on non-homogeneous spaces. Zbl 1497.42034 Lu, Guanghui; Tao, Shuangping; Wang, Miaomiao 2 2022 Lipschitz chain approximation of metric integral currents. Zbl 1509.49022 Goldhirsch, Tommaso 2 2022 A simple proof of Dvoretzky-type theorem for Hausdorff dimension in doubling spaces. Zbl 1495.46016 Mendel, Manor 1 2022 Asymptotically mean value harmonic functions in doubling metric measure spaces. Zbl 1504.31026 Adamowicz, Tomasz; Kijowski, Antoni; Soultanis, Elefterios 1 2022 Isoperimetric and Poincaré inequalities on non-self-similar Sierpiński sponges: the borderline case. Zbl 1514.28005 Eriksson-Bique, Sylvester; Gong, Jasun 1 2022 Potential theory on Gromov hyperbolic spaces. Zbl 1504.31019 Kemper, Matthias; Lohkamp, Joachim 1 2022 Properties of functions on a bounded charge space. Zbl 1502.46019 Keith, Jonathan M. 1 2022 Branching geodesics of the Gromov-Hausdorff distance. Zbl 1501.53056 Ishiki, Yoshito 1 2022 A cornucopia of Carnot groups in low dimensions. Zbl 1503.53061 Le Donne, Enrico; Tripaldi, Francesca 1 2022 Remarks on manifolds with two-sided curvature bounds. Zbl 1483.53056 Kapovitch, Vitali; Lytchak, Alexander 6 2021 On the volume of sections of the cube. Zbl 1466.52008 Ivanov, Grigory; Tsiutsiurupa, Igor 3 2021 5-point CAT(0) spaces after Tetsu Toyoda. Zbl 1484.53079 Lebedeva, Nina; Petrunin, Anton 2 2021 Hölder parameterization of iterated function systems and a self-affine phenomenon. Zbl 1479.28003 Badger, Matthew; Vellis, Vyron 2 2021 Concentration of product spaces. Zbl 1485.53055 Kazukawa, Daisuke 2 2021 Variable anisotropic Hardy spaces with variable exponents. Zbl 1479.42065 Yang, Zhenzhen; Yang, Yajuan; Sun, Jiawei; Li, Baode 1 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 1466.46033 Zhou, Xilin; He, Ziyi; Yang, Dachun 15 2020 Integral representation of local left-invariant functionals in Carnot groups. Zbl 1468.49013 Maione, A.; Vecchi, E. 9 2020 Complex interpolation of Lizorkin-Triebel-Morrey spaces on domains. Zbl 1478.46017 Zhuo, Ciqiang; Hovemann, Marc; Sickel, Winfried 6 2020 Trace operators on regular trees. Zbl 1478.46041 Koskela, Pekka; Nguyen, Khanh Ngoc; Wang, Zhuang 5 2020 Admissibility versus \(A_p\)-conditions on regular trees. Zbl 1451.30122 Nguyen, Khanh Ngoc; Wang, Zhuang 4 2020 An intrinsic characterization of five points in a CAT(0) space. Zbl 1475.53048 Toyoda, Tetsu 4 2020 Chordal Hausdorff convergence and quasihyperbolic distance. Zbl 1446.30060 Herron, David A.; Richard, Abigail; Snipes, Marie A. 4 2020 Higher dimensional holonomy map for rules submanifolds in graded manifolds. Zbl 1511.53039 Giovannardi, Gianmarco 4 2020 Embeddings between Triebel-Lizorkin spaces on metric spaces associated with operators. Zbl 1466.58007 Georgiadis, Athanasios G.; Kyriazis, George 4 2020 Commutators on weighted Morrey spaces on spaces of homogeneous type. Zbl 1466.42009 Gong, Ruming; Li, Ji; Pozzi, Elodie; Vempati, Manasa N. 3 2020 Pointwise multipliers on weak Morrey spaces. Zbl 1475.42037 Kawasumi, Ryota; Nakai, Eiichi 3 2020 Duality of moduli and quasiconformal mappings in metric spaces. Zbl 1451.30117 Jones, Rebekah; Lahti, Panu 2 2020 BMO and the John-Nirenberg inequality on measure spaces. Zbl 1468.30097 Dafni, Galia; Gibara, Ryan; Lavigne, Andrew 1 2020 Ultradiversification of diversities. Zbl 1515.54025 Haghmaram, Pouya; Nourouzi, Kourosh 1 2020 Volume bounds for the quantitative singular strata of non collapsed RCD metric measure spaces. Zbl 1428.53051 Antonelli, Gioacchino; Brué, Elia; Semola, Daniele 13 2019 Weakly noncollapsed RCD spaces with upper curvature bounds. Zbl 1434.53069 Kapovitch, Vitali; Ketterer, Christian 7 2019 CMC spheres in the Heisenberg group. Zbl 1428.53073 Franceschi, Valentina; Montefalcone, Francescopaolo; Monti, Roberto 5 2019 Brascamp-Lieb inequalities on compact homogeneous spaces. Zbl 1480.43002 Bramati, Roberto 4 2019 Long-scale ollivier Ricci curvature of graphs. Zbl 1415.05036 Cushing, D.; Kamtue, S. 4 2019 Distance bounds for graphs with some negative Bakry-Émery curvature. Zbl 1416.05093 Liu, Shiping; Münch, Florentin; Peyerimhoff, Norbert; Rose, Christian 3 2019 Perimeter-minimizing triple bubbles in the plane and the 2-sphere. Zbl 1418.49016 Lawlor, Gary R. 3 2019 Group approximation in Cayley topology and coarse geometry. II: Fibred coarse embeddings. Zbl 1479.20031 Mimura, Masato; Sako, Hiroki 2 2019 Geometry of generated groups with metrics induced by their Cayley color graphs. Zbl 1515.20236 Suksumran, Teerapong 2 2019 Boundary regularity for p-harmonic functions and solutions of obstacle problems on unbounded sets in metric spaces. Zbl 1436.31032 Björn, Anders; Hansevi, Daniel 1 2019 Pull-back of metric currents and homological boundedness of BLD-elliptic spaces. Zbl 1435.30162 Pankka, Pekka; Soultanis, Elefterios 1 2019 Scalar curvature via local extent. Zbl 1405.53050 Veronelli, Giona 5 2018 Hyperbolic unfoldings of minimal hypersurfaces. Zbl 1401.30070 Lohkamp, Joachim 5 2018 A global Poincaré inequality on graphs via a conical curvature-dimension condition. Zbl 1388.05183 Lakzian, Sajjad; McGuirk, Zachary 4 2018 Double bubbles on the real line with log-convex density. Zbl 1396.49040 Bongiovanni, Eliot; Di Giosia, Leonardo; Diaz, Alejandro; Habib, Jahangir; Kakkar, Arjun; Kenigsberg, Lea; Pittman, Dylanger; Sothanaphan, Nat; Zhu, Weitao 4 2018 Bakry-Émery conditions on almost smooth metric measure spaces. Zbl 1405.53055 Honda, Shouhei 4 2018 An analog of the Neumann problem for the 1-Laplace equation in the metric setting: existence, boundary regularity, and stability. Zbl 1391.30068 Lahti, Panu; Malý, Lukáš; Shanmugalingam, Nageswari 2 2018 Inradius estimates for convex domains in 2-dimensional Alexandrov spaces. Zbl 1448.53072 Drach, Kostiantyn 2 2018 Affinity and distance. On the Newtonian structure of some data kernels. Zbl 1414.31007 Aimar, Hugo; Gómez, Ivana 1 2018 Lipschitz extensions to finitely many points. Zbl 1410.54017 Basso, Giuliano 1 2018 A primer on Carnot groups: homogenous groups, Carnot-Carathéodory spaces, and regularity of their isometries. Zbl 1392.53053 Le Donne, Enrico 48 2017 Multiscale analysis of 1-rectifiable measures. II: Characterizations. Zbl 1360.28004 Badger, Matthew; Schul, Raanan 19 2017 Traces of Besov, Triebel-Lizorkin and Sobolev spaces on metric spaces. Zbl 1394.46028 Saksman, Eero; Soto, Tomás 9 2017 A universal separable diversity. Zbl 1402.54030 Bryant, David; Nies, André; Tupper, Paul 7 2017 Some invariant properties of quasi-Möbius maps. Zbl 1387.30086 Heer, Loreno 5 2017 Thinnest covering of the Euclidean plane with incongruent circles. Zbl 1386.52018 Dorninger, Dietmar 3 2017 Angles between curves in metric measure spaces. Zbl 1391.53051 Han, Bang-Xian; Mondino, Andrea 3 2017 Characterization of low dimensional \(RCD^\ast(K, N)\) spaces. Zbl 1348.53046 Kitabeppu, Yu; Lakzian, Sajjad 29 2016 Relaxation and integral representation for functionals of linear growth on metric measure spaces. Zbl 1354.49027 Hakkarainen, Heikki; Kinnunen, Juha; Lahti, Panu; Lehtelä, Pekka 20 2016 Isoperimetric regions in \(\mathbb R^{n}\) with density \(r^{p}\). Zbl 1350.49060 Boyer, Wyatt; Brown, Bryan; Chambers, Gregory R.; Loving, Alyssa; Tammen, Sarah 18 2016 Infinitesimal structure of differentiability spaces, and metric differentiation. Zbl 1360.30047 Cheeger, Jeff; Kleiner, Bruce; Schioppa, Andrea 14 2016 On the regularity of Alexandrov surfaces with curvature bounded below. Zbl 1353.53018 Ambrosio, Luigi; Bertrand, Jérôme 8 2016 Flats in spaces with convex geodesic bicombings. Zbl 1341.53070 Descombes, Dominic; Lang, Urs 7 2016 The Poincaré inequality does not improve with blow-up. Zbl 1442.31008 Schioppa, Andrea 6 2016 Constant distortion embeddings of symmetric diversities. Zbl 1356.51005 Bryant, David; Tupper, Paul F. 5 2016 Hardy and Hardy-Sobolev spaces on strongly Lipschitz domains and some applications. Zbl 1354.42039 Chen, Xiaming; Jiang, Renjin; Yang, Dachun 5 2016 The geometry of model spaces for probability-preserving actions of sofic groups. Zbl 1353.37005 Austin, Tim 5 2016 Quasi-isometries need not induce homeomorphisms of contracting boundaries with the Gromov product topology. Zbl 1377.20030 Cashen, Christopher H. 4 2016 Applications of integral geometry to geometric properties of sets in the 3D-Heisenberg group. Zbl 1361.53059 Huang, Yen-Chang 3 2016 Isoperimetric symmetry breaking: a counterexample to a generalized form of the log-convex density conjecture. Zbl 1355.53005 Morgan, Frank 2 2016 Applications of the ‘Ham Sandwich Theorem’ to eigenvalues of the Laplacian. Zbl 1354.58024 Funano, Kei 2 2016 Combinatorial modulus on boundary of right-angled hyperbolic buildings. Zbl 1373.20052 Clais, Antoine 2 2016 Weak capacity and modulus comparability in Ahlfors regular metric spaces. Zbl 1367.30043 Lindquist, Jeff 1 2016 On the Hausdorff dimension of \(\mathrm{CAT}(\kappa)\) surfaces. Zbl 1350.28005 Constantine, David; Lafont, Jean-François 1 2016 Obata’s rigidity theorem for metric measure spaces. Zbl 1327.53051 Ketterer, Christian 31 2015 Stability and continuity of functions of least gradient. Zbl 1318.26028 Hakkarainen, H.; Korte, R.; Lahti, P.; Shanmugalingam, N. 21 2015 Monotone valuations on the space of convex functions. Zbl 1321.26027 Cavallina, L.; Colesanti, A. 18 2015 Inverse limit spaces satisfying a Poincaré inequality. Zbl 1331.46016 Cheeger, Jeff; Kleiner, Bruce 17 2015 Poincaré inequalities for mutually singular measures. Zbl 1310.26017 Schioppa, Andrea 9 2015 Geodesics in the Heisenberg group. Zbl 1328.53039 Hajłasz, Piotr; Zimmerman, Scott 8 2015 Gluing hyperconvex metric spaces. Zbl 1321.54053 Miesch, Benjamin 8 2015 On conditions for unrectifiability of a metric space. Zbl 1321.28008 Hajłasz, Piotr; Malekzadeh, Soheil 7 2015 Some results on maps that factor through a tree. Zbl 1317.51008 Züst, Roger 6 2015 Incidence axioms for the boundary at infinity of complex hyperbolic spaces. Zbl 1344.53026 Buyalo, Sergei; Schroeder, Viktor 5 2015 Resolvent flows for convex functionals and \(p\)-harmonic maps. Zbl 1314.53071 Kuwae, Kazuhiro 5 2015 Sobolev-Kantorovich inequalities. Zbl 1326.35171 Ledoux, Michel 5 2015 Some fine properties of BV functions on Wiener spaces. Zbl 1321.26058 Ambrosio, Luigi; Miranda, Michele jun.; Pallara, Diego 5 2015 Tight embeddability of proper and stable metric spaces. Zbl 1341.46015 Baudier, F.; Lancien, G. 4 2015 Lusin-type theorems for Cheeger derivatives on metric measure spaces. Zbl 1325.26030 David, Guy C. 3 2015 Bi-Lipschitz bijections of \(\mathbb Z\). 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Zbl 1295.53029 Ohta, Shin-ichi 9 2014 ...and 24 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 798 Authors 31 Yang, Dachun 21 Lahti, Panu 16 Le Donne, Enrico 13 Gigli, Nicola 13 Pinamonti, Andrea 13 Yuan, Wen 12 Naor, Assaf 11 Antonelli, Gioacchino 11 Honda, Shouhei 10 Ketterer, Christian 10 Mondino, Andrea 10 Rizzi, Luca 10 Semola, Daniele 10 Yang, Sibei 9 Kapovitch, Vitali 9 Pasqualetto, Enrico 8 Badger, Matthew 8 Bruè, Elia 8 Colesanti, Andrea 8 Górny, Wojciech 7 David, Guy C. 7 Eriksson-Bique, Sylvester 7 Lytchak, Alexander 7 Shanmugalingam, Nageswari 7 Zhuo, Ciqiang 6 Ambrosio, Luigi 6 Chiacchio, Francesco 6 Citti, Giovanna 6 Kell, Martin 6 Merlo, Andrea 6 Rajala, Tapio 6 Ritoré, Manuel 6 Schioppa, Andrea 6 Sturm, Karl-Theodor 6 Wang, Zhuang 5 Barilari, Davide 5 Basso, Giuliano 5 Brock, Friedemann 5 Fässler, Katrin S. 5 Franceschi, Valentina 5 Gartland, Chris 5 Hajłasz, Piotr 5 Han, Bangxian 5 He, Ziyi 5 Kitabeppu, Yu 5 Lakzian, Sajjad 5 Li, Baode 5 Li, Xining 5 Liu, Xiong 5 Ostrovskii, Mikhail Iosifovich 5 Rigoni, Chiara 5 Soultanis, Elefterios 5 The Anh Bui 4 Adamowicz, Tomasz 4 Baudier, Florent P. 4 De Philippis, Guido 4 Duong, Xuan Thinh 4 Koskela, Pekka 4 Liu, Shiping 4 Ludwig, Monika 4 Maione, Alberto 4 Mendel, Manor 4 Mennucci, Andrea Carlo Giuseppe 4 Mercaldo, Anna 4 Moisala, Terhi 4 Mondello, Ilaria 4 Mussnig, Fabian 4 Ohta, Shin-ichi 4 Petrunin, Anton Mikhailovich 4 Pratelli, Aldo 4 Prisuelos-Arribas, Cruz 4 Stefani, Giorgio 4 Vecchi, Eugenio 4 Wang, Fan 3 Agrachev, Andreĭ Aleksandrovich 3 Alvino, Angelo 3 Anza Hafsa, Omar 3 Bertrand, Jérôme 3 Bogachev, Vladimir Igorevich 3 Boscain, Ugo 3 Bryant, David 3 Capogna, Luca 3 Cavalletti, Fabio 3 Cheeger, Jeff 3 Cushing, David 3 Deng, Qin 3 Di Donato, Daniela 3 Don, Sebastiano 3 Doucha, Michal 3 Essebei, Fares 3 Galaz-Garcia, Fernando 3 Giovannardi, Gianmarco 3 Hakavuori, Eero 3 Herron, David A. 3 Kinnunen, Juha 3 Kleiner, Bruce 3 Korte, Riikka 3 Kuwada, Kazumasa 3 Ky, Luong Dang 3 Li, Bo ...and 698 more Authors all top 5 Cited in 198 Journals 41 The Journal of Geometric Analysis 40 Analysis and Geometry in Metric Spaces 31 Calculus of Variations and Partial Differential Equations 28 Journal of Functional Analysis 20 Proceedings of the American Mathematical Society 20 Potential Analysis 19 Nonlinear Analysis. 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Second Series 3 Mediterranean Journal of Mathematics 3 Frontiers of Mathematics in China 3 Journal of Mathematical Inequalities 3 Banach Journal of Mathematical Analysis 3 Japanese Journal of Mathematics. 3rd Series 3 Forum of Mathematics, Sigma 3 Journal of Function Spaces 2 Communications in Mathematical Physics 2 Journal d’Analyse Mathématique 2 Mathematical Notes 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Arkiv för Matematik 2 Applied Mathematics and Optimization 2 Canadian Mathematical Bulletin 2 Collectanea Mathematica 2 Demonstratio Mathematica 2 Duke Mathematical Journal 2 Journal of Approximation Theory 2 Journal of the Mathematical Society of Japan 2 Memoirs of the American Mathematical Society 2 Monatshefte für Mathematik 2 Nagoya Mathematical Journal 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Ergodic Theory and Dynamical Systems 2 Bulletin of the Korean Mathematical Society 2 Acta Mathematica Hungarica 2 Probability Theory and Related Fields 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 SIAM Journal on Mathematical Analysis 2 Stochastic Processes and their Applications 2 St. Petersburg Mathematical Journal 2 Journal of Convex Analysis 2 Conformal Geometry and Dynamics 2 Infinite Dimensional Analysis, Quantum Probability and Related Topics 2 Revista Matemática Complutense 2 Journal of Dynamical and Control Systems 2 Journal of Evolution Equations 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Groups, Geometry, and Dynamics 2 Journal of Physics A: Mathematical and Theoretical ...and 98 more Journals all top 5 Cited in 47 Fields 299 Differential geometry (53-XX) 179 Functional analysis (46-XX) 131 Functions of a complex variable (30-XX) 120 Calculus of variations and optimal control; optimization (49-XX) 101 Partial differential equations (35-XX) 101 Harmonic analysis on Euclidean spaces (42-XX) 95 Measure and integration (28-XX) 83 Global analysis, analysis on manifolds (58-XX) 73 Real functions (26-XX) 60 Geometry (51-XX) 54 General topology (54-XX) 52 Topological groups, Lie groups (22-XX) 48 Potential theory (31-XX) 39 Operator theory (47-XX) 39 Convex and discrete geometry (52-XX) 35 Combinatorics (05-XX) 30 Group theory and generalizations (20-XX) 22 Probability theory and stochastic processes (60-XX) 18 Dynamical systems and ergodic theory (37-XX) 13 Abstract harmonic analysis (43-XX) 11 Manifolds and cell complexes (57-XX) 9 Several complex variables and analytic spaces (32-XX) 7 Difference and functional equations (39-XX) 7 Approximations and expansions (41-XX) 7 Computer science (68-XX) 5 Integral transforms, operational calculus (44-XX) 5 Numerical analysis (65-XX) 5 Mechanics of deformable solids (74-XX) 4 General and overarching topics; collections (00-XX) 4 Nonassociative rings and algebras (17-XX) 4 Algebraic topology (55-XX) 4 Quantum theory (81-XX) 4 Operations research, mathematical programming (90-XX) 3 Algebraic geometry (14-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Sequences, series, summability (40-XX) 3 Relativity and gravitational theory (83-XX) 2 Statistics (62-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 General algebraic systems (08-XX) 1 Number theory (11-XX) 1 Ordinary differential equations (34-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX) Citations by Year