# zbMATH — the first resource for mathematics

## 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: 122 Publications (since 2013) References Indexed: 121 Publications with 3,489 References.
all top 5

#### Latest Issues

 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 Yang, Dachun 2 Badger, Matthew 2 Bryant, David 2 Buckley, Stephen M. 2 Cheeger, Jeff 2 Hakkarainen, Heikki 2 Kapovitch, Vitali 2 Ketterer, Christian 2 Kinnunen, Juha 2 Kleiner, Bruce 2 Mennucci, Andrea Carlo Giuseppe 2 Montefalcone, Francescopaolo 2 Munn, Michael 2 Naor, Assaf 2 Nguyen, Khanh Ngoc 2 Rajala, Tapio 2 Shanmugalingam, Nageswari 2 Snipes, Marie A. 2 Tupper, Paul F. 2 Vellis, Vyron 2 Wang, Zhuang 1 Aimar, Hugo A. 1 Alarcón, Antonio 1 Antonelli, Gioacchino 1 Austin, Tim D. 1 Balogh, Zoltán M. 1 Barilari, Davide 1 Basso, Giuliano 1 Baudier, Florent 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 Cavalletti, Fabio 1 Cavallina, Lorenzo 1 Chambers, Gregory R. 1 Chang, Der-Chen E. 1 Chanillo, Sagun 1 Chen, Xiaming 1 Citti, Giovanna 1 Clais, Antoine 1 Colesanti, Andrea 1 Constantine, David 1 Cushing, David 1 Dafni, Galia 1 David, Guy 1 David, Guy C. 1 Descombes, Dominic 1 Di Giosia, Leonardo 1 Dorninger, Dietmar W. 1 Drach, Kostiantyn 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 Gibara, Ryan 1 Gigli, Nicola 1 Giovannardi, Gianmarco 1 Gómez, Ivana 1 Gong, Ruming 1 Granieri, Luca 1 Habib, Jahangir 1 Haghmaram, Pouya 1 Han, Bangxian 1 Han, Yongsheng 1 Hansevi, Daniel 1 He, Ziyi 1 Heer, Loreno 1 Heikkinen, Toni 1 Herron, David A. 1 Honda, Shouhei 1 Hovemann, Marc 1 Huang, Yen-Chang 1 Jiang, Renjin 1 Jones, Rebekah 1 Joseph, Matthieu 1 Kakkar, Arjun 1 Kamtue, Supanat 1 Kawasumi, Ryota 1 Kell, Martin 1 Kenigsberg, Lea 1 Kitabeppu, Yu 1 Korte, Riikka ...and 98 more Authors
all top 5

#### Fields

 50 Differential geometry (53-XX) 28 Functions of a complex variable (30-XX) 24 Functional analysis (46-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 17 Measure and integration (28-XX) 17 General topology (54-XX) 16 Real functions (26-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 12 Potential theory (31-XX) 11 Geometry (51-XX) 10 Convex and discrete geometry (52-XX) 7 Group theory and generalizations (20-XX) 7 Partial differential equations (35-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Combinatorics (05-XX) 5 Topological groups, Lie groups (22-XX) 4 Probability theory and stochastic processes (60-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Abstract harmonic analysis (43-XX) 3 Manifolds and cell complexes (57-XX) 1 Algebraic geometry (14-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX) 1 Algebraic topology (55-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

89 Publications have been cited 445 times in 402 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
2014
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
2013
A formula for Popp’s volume in sub-Riemannian geometry. Zbl 1260.53062
Barilari, Davide; Rizzi, Luca
2013
Obata’s rigidity theorem for metric measure spaces. Zbl 1327.53051
Ketterer, Christian
2015
A primer on Carnot groups: homogenous groups, Carnot-Carathéodory spaces, and regularity of their isometries. Zbl 1392.53053
Le Donne, Enrico
2017
On asymmetric distances. Zbl 1293.53081
Mennucci, Andrea C. G.
2013
Characterization of low dimensional $$RCD^\ast(K, N)$$ spaces. Zbl 1348.53046
2016
Stability and continuity of functions of least gradient. Zbl 1318.26028
Hakkarainen, H.; Korte, R.; Lahti, P.; Shanmugalingam, N.
2015
Spectral calculus and Lipschitz extension for barycentric metric spaces. Zbl 1297.54037
Mendel, Manor; Naor, Assaf
2013
Monotone valuations on the space of convex functions. Zbl 1321.26027
Cavallina, L.; Colesanti, A.
2015
Inverse limit spaces satisfying a Poincaré inequality. Zbl 1331.46016
Cheeger, Jeff; Kleiner, Bruce
2015
Multiscale analysis of 1-rectifiable measures. II: Characterizations. Zbl 1360.28004
2017
Infinitesimal structure of differentiability spaces, and metric differentiation. Zbl 1360.30047
Cheeger, Jeff; Kleiner, Bruce; Schioppa, Andrea
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
2016
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
2014
Isoperimetric regions in $$\mathbb R^{n}$$ with density $$r^{p}$$. Zbl 1350.49060
Boyer, Wyatt; Brown, Bryan; Chambers, Gregory R.; Loving, Alyssa; Tammen, Sarah
2016
Metric characterizations of superreflexivity in terms of word hyperbolic groups and finite graphs. Zbl 1318.46010
Ostrovskii, Mikhail
2014
Uniformly convex metric spaces. Zbl 1311.53062
Kell, Martin
2014
On the curvature and heat flow on Hamiltonian systems. Zbl 1295.53029
Ohta, Shin-ichi
2014
Fractional maximal functions in metric measure spaces. Zbl 1275.42032
Heikkinen, Toni; Lehrbäck, Juha; Nuutinen, Juho; Tuominen, Heli
2013
Poincaré inequalities for mutually singular measures. Zbl 1310.26017
Schioppa, Andrea
2015
On conditions for unrectifiability of a metric space. Zbl 1321.28008
2015
Comparison of metric spectral gaps. Zbl 1316.46023
Naor, Assaf
2014
Incidence axioms for the boundary at infinity of complex hyperbolic spaces. Zbl 1344.53026
2015
Gluing hyperconvex metric spaces. Zbl 1321.54053
Miesch, Benjamin
2015
Traces of Besov, Triebel-Lizorkin and Sobolev spaces on metric spaces. Zbl 1394.46028
Saksman, Eero; Soto, Tomás
2017
A universal separable diversity. Zbl 1402.54030
Bryant, David; Nies, André; Tupper, Paul
2017
Flats in spaces with convex geodesic bicombings. Zbl 1341.53070
Descombes, Dominic; Lang, Urs
2016
Geodesics in the Heisenberg group. Zbl 1328.53039
Hajłasz, Piotr; Zimmerman, Scott
2015
Resolvent flows for convex functionals and $$p$$-harmonic maps. Zbl 1314.53071
Kuwae, Kazuhiro
2015
Isoperimetric and stable sets for log-concave perturbations of Gaussian measures. Zbl 1304.49096
Rosales, César
2014
Conformal geometry and the composite membrane problem. Zbl 1258.35209
Chanillo, Sagun
2013
A non-probabilistic proof of the Assouad embedding theorem with bounds on the dimension. Zbl 1261.53039
David, Guy; Snipes, Marie
2013
Nonexistence results for semilinear equations in Carnot groups. Zbl 1258.35197
Ferrari, Fausto; Pinamonti, Andrea
2013
Scalar curvature via local extent. Zbl 1405.53050
Veronelli, Giona
2018
The geometry of model spaces for probability-preserving actions of sofic groups. Zbl 1353.37005
Austin, Tim
2016
The Lusin theorem and horizontal graphs in the Heisenberg group. Zbl 1286.46036
Hajłasz, Piotr; Mirra, Jacob
2013
Weakly noncollapsed RCD spaces with upper curvature bounds. Zbl 1434.53069
Kapovitch, Vitali; Ketterer, Christian
2019
Some fine properties of BV functions on Wiener spaces. Zbl 1321.26058
Ambrosio, Luigi; Miranda, Michele jun.; Pallara, Diego
2015
Dimension distortion by Sobolev mappings in foliated metric spaces. Zbl 1285.46029
Balogh, Zoltán M.; Tyson, Jeremy T.; Wildrick, Kevin
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
2013
On the regularity of Alexandrov surfaces with curvature bounded below. Zbl 1353.53018
Ambrosio, Luigi; Bertrand, Jérôme
2016
Constant distortion embeddings of symmetric diversities. Zbl 1356.51005
Bryant, David; Tupper, Paul F.
2016
The Poincaré inequality does not improve with blow-up. Zbl 1442.31008
Schioppa, Andrea
2016
Geodesics in asymmetric metric spaces. Zbl 1310.53039
Mennucci, Andrea C. G.
2014
Metric perspectives of the Ricci flow applied to disjoint unions. Zbl 1322.53037
2014
Some invariant properties of quasi-Möbius maps. Zbl 1387.30086
Heer, Loreno
2017
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
2020
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
2018
Quasi-isometries need not induce homeomorphisms of contracting boundaries with the Gromov product topology. Zbl 1377.20030
Cashen, Christopher H.
2016
CMC spheres in the Heisenberg group. Zbl 1428.53073
Franceschi, Valentina; Montefalcone, Francescopaolo; Monti, Roberto
2019
Group approximation in Cayley topology and coarse geometry. II: Fibred coarse embeddings. Zbl 07128281
Mimura, Masato; Sako, Hiroki
2019
Distance bounds for graphs with some negative Bakry-Émery curvature. Zbl 1416.05093
Liu, Shiping; Münch, Florentin; Peyerimhoff, Norbert; Rose, Christian
2019
Geometry of generated groups with metrics induced by their Cayley color graphs. Zbl 07078489
Suksumran, Teerapong
2019
Tight embeddability of proper and stable metric spaces. Zbl 1341.46015
Baudier, F.; Lancien, G.
2015
Integral representation of local left-invariant functionals in Carnot groups. Zbl 07175417
Maione, A.; Vecchi, E.
2020
Sobolev-Kantorovich inequalities. Zbl 1326.35171
Ledoux, Michel
2015
Some results on maps that factor through a tree. Zbl 1317.51008
Züst, Roger
2015
Hardy and Hardy-Sobolev spaces on strongly Lipschitz domains and some applications. Zbl 1354.42039
Chen, Xiaming; Jiang, Renjin; Yang, Dachun
2016
Applications of integral geometry to geometric properties of sets in the 3D-Heisenberg group. Zbl 1361.53059
Huang, Yen-Chang
2016
Complete non-orientable minimal surfaces in $$\mathbb{R}^{3}$$ and asymptotic behavior. Zbl 1304.49082
Alarcón, Antonio; López, Francisco J.
2014
Invertible Carnot groups. Zbl 1318.53023
Freeman, David M.
2014
Riemannian polyhedra and Liouville-type theorems for harmonic maps. Zbl 1309.53056
Sinaei, Zahra
2014
The $$n$$-point condition and rough $$\text{CAT}(0)$$. Zbl 1262.30073
Buckley, Stephen M.; Hanson, Bruce
2013
Chordal Hausdorff convergence and quasihyperbolic distance. Zbl 1446.30060
Herron, David A.; Richard, Abigail; Snipes, Marie A.
2020
Thinnest covering of the Euclidean plane with incongruent circles. Zbl 1386.52018
Dorninger, Dietmar
2017
Hyperbolic unfoldings of minimal hypersurfaces. Zbl 1401.30070
Lohkamp, Joachim
2018
On the Hausdorff dimension of $$\mathrm{CAT}(\kappa)$$ surfaces. Zbl 1350.28005
Constantine, David; Lafont, Jean-François
2016
Resistance conditions and applications. Zbl 1286.46037
Kinnunen, Juha; Silvestre, Pilar
2013
Brascamp-Lieb inequalities on compact homogeneous spaces. Zbl 07128282
Bramati, Roberto
2019
Volume bounds for the quantitative singular strata of non collapsed RCD metric measure spaces. Zbl 1428.53051
Antonelli, Gioacchino; Brué, Elia; Semola, Daniele
2019
Long-scale ollivier Ricci curvature of graphs. Zbl 1415.05036
Cushing, D.; Kamtue, S.
2019
Perimeter-minimizing triple bubbles in the plane and the 2-sphere. Zbl 1418.49016
Lawlor, Gary R.
2019
The boundary at infinity of a rough $$\mathrm{CAT}(0)$$ space. Zbl 1296.51023
Buckley, S. M.; Falk, K.
2014
Pull-back of metric currents and homological boundedness of BLD-elliptic spaces. Zbl 1435.30162
Pankka, Pekka; Soultanis, Elefterios
2019
Combinatorial modulus on boundary of right-angled hyperbolic buildings. Zbl 1373.20052
Clais, Antoine
2016
Lusin-type theorems for Cheeger derivatives on metric measure spaces. Zbl 1325.26030
David, Guy C.
2015
The $$p$$-Royden and $$p$$-harmonic boundaries for metric measure spaces. Zbl 1317.31021
Lucia, Marcello; Puls, Michael J.
2015
Isoperimetric symmetry breaking: a counterexample to a generalized form of the log-convex density conjecture. Zbl 1355.53005
Morgan, Frank
2016
Applications of the ‘Ham Sandwich Theorem’ to eigenvalues of the Laplacian. Zbl 1354.58024
Funano, Kei
2016
Weak capacity and modulus comparability in Ahlfors regular metric spaces. Zbl 1367.30043
Lindquist, Jeff
2016
Angles between curves in metric measure spaces. Zbl 1391.53051
Han, Bang-Xian; Mondino, Andrea
2017
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
2018
A global Poincaré inequality on graphs via a conical curvature-dimension condition. Zbl 1388.05183
2018
Admissibility versus $$A_p$$-conditions on regular trees. Zbl 1451.30122
Nguyen, Khanh Ngoc; Wang, Zhuang
2020
Duality of moduli and quasiconformal mappings in metric spaces. Zbl 1451.30117
Jones, Rebekah; Lahti, Panu
2020
BMO and the John-Nirenberg inequality on measure spaces. Zbl 07360406
Dafni, Galia; Gibara, Ryan; Lavigne, Andrew
2020
Embeddings between Triebel-Lizorkin spaces on metric spaces associated with operators. Zbl 1466.58007
2020
Complex interpolation of Lizorkin-Triebel-Morrey spaces on domains. Zbl 07360425
Zhuo, Ciqiang; Hovemann, Marc; Sickel, Winfried
2020
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
2020
Integral representation of local left-invariant functionals in Carnot groups. Zbl 07175417
Maione, A.; Vecchi, E.
2020
Chordal Hausdorff convergence and quasihyperbolic distance. Zbl 1446.30060
Herron, David A.; Richard, Abigail; Snipes, Marie A.
2020
Admissibility versus $$A_p$$-conditions on regular trees. Zbl 1451.30122
Nguyen, Khanh Ngoc; Wang, Zhuang
2020
Duality of moduli and quasiconformal mappings in metric spaces. Zbl 1451.30117
Jones, Rebekah; Lahti, Panu
2020
BMO and the John-Nirenberg inequality on measure spaces. Zbl 07360406
Dafni, Galia; Gibara, Ryan; Lavigne, Andrew
2020
Embeddings between Triebel-Lizorkin spaces on metric spaces associated with operators. Zbl 1466.58007
2020
Complex interpolation of Lizorkin-Triebel-Morrey spaces on domains. Zbl 07360425
Zhuo, Ciqiang; Hovemann, Marc; Sickel, Winfried
2020
Weakly noncollapsed RCD spaces with upper curvature bounds. Zbl 1434.53069
Kapovitch, Vitali; Ketterer, Christian
2019
CMC spheres in the Heisenberg group. Zbl 1428.53073
Franceschi, Valentina; Montefalcone, Francescopaolo; Monti, Roberto
2019
Group approximation in Cayley topology and coarse geometry. II: Fibred coarse embeddings. Zbl 07128281
Mimura, Masato; Sako, Hiroki
2019
Distance bounds for graphs with some negative Bakry-Émery curvature. Zbl 1416.05093
Liu, Shiping; Münch, Florentin; Peyerimhoff, Norbert; Rose, Christian
2019
Geometry of generated groups with metrics induced by their Cayley color graphs. Zbl 07078489
Suksumran, Teerapong
2019
Brascamp-Lieb inequalities on compact homogeneous spaces. Zbl 07128282
Bramati, Roberto
2019
Volume bounds for the quantitative singular strata of non collapsed RCD metric measure spaces. Zbl 1428.53051
Antonelli, Gioacchino; Brué, Elia; Semola, Daniele
2019
Long-scale ollivier Ricci curvature of graphs. Zbl 1415.05036
Cushing, D.; Kamtue, S.
2019
Perimeter-minimizing triple bubbles in the plane and the 2-sphere. Zbl 1418.49016
Lawlor, Gary R.
2019
Pull-back of metric currents and homological boundedness of BLD-elliptic spaces. Zbl 1435.30162
Pankka, Pekka; Soultanis, Elefterios
2019
Scalar curvature via local extent. Zbl 1405.53050
Veronelli, Giona
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
2018
Hyperbolic unfoldings of minimal hypersurfaces. Zbl 1401.30070
Lohkamp, Joachim
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
2018
A global Poincaré inequality on graphs via a conical curvature-dimension condition. Zbl 1388.05183
2018
A primer on Carnot groups: homogenous groups, Carnot-Carathéodory spaces, and regularity of their isometries. Zbl 1392.53053
Le Donne, Enrico
2017
Multiscale analysis of 1-rectifiable measures. II: Characterizations. Zbl 1360.28004
2017
Traces of Besov, Triebel-Lizorkin and Sobolev spaces on metric spaces. Zbl 1394.46028
Saksman, Eero; Soto, Tomás
2017
A universal separable diversity. Zbl 1402.54030
Bryant, David; Nies, André; Tupper, Paul
2017
Some invariant properties of quasi-Möbius maps. Zbl 1387.30086
Heer, Loreno
2017
Thinnest covering of the Euclidean plane with incongruent circles. Zbl 1386.52018
Dorninger, Dietmar
2017
Angles between curves in metric measure spaces. Zbl 1391.53051
Han, Bang-Xian; Mondino, Andrea
2017
Characterization of low dimensional $$RCD^\ast(K, N)$$ spaces. Zbl 1348.53046
2016
Infinitesimal structure of differentiability spaces, and metric differentiation. Zbl 1360.30047
Cheeger, Jeff; Kleiner, Bruce; Schioppa, Andrea
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
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
2016
Flats in spaces with convex geodesic bicombings. Zbl 1341.53070
Descombes, Dominic; Lang, Urs
2016
The geometry of model spaces for probability-preserving actions of sofic groups. Zbl 1353.37005
Austin, Tim
2016
On the regularity of Alexandrov surfaces with curvature bounded below. Zbl 1353.53018
Ambrosio, Luigi; Bertrand, Jérôme
2016
Constant distortion embeddings of symmetric diversities. Zbl 1356.51005
Bryant, David; Tupper, Paul F.
2016
The Poincaré inequality does not improve with blow-up. Zbl 1442.31008
Schioppa, Andrea
2016
Quasi-isometries need not induce homeomorphisms of contracting boundaries with the Gromov product topology. Zbl 1377.20030
Cashen, Christopher H.
2016
Hardy and Hardy-Sobolev spaces on strongly Lipschitz domains and some applications. Zbl 1354.42039
Chen, Xiaming; Jiang, Renjin; Yang, Dachun
2016
Applications of integral geometry to geometric properties of sets in the 3D-Heisenberg group. Zbl 1361.53059
Huang, Yen-Chang
2016
On the Hausdorff dimension of $$\mathrm{CAT}(\kappa)$$ surfaces. Zbl 1350.28005
Constantine, David; Lafont, Jean-François
2016
Combinatorial modulus on boundary of right-angled hyperbolic buildings. Zbl 1373.20052
Clais, Antoine
2016
Isoperimetric symmetry breaking: a counterexample to a generalized form of the log-convex density conjecture. Zbl 1355.53005
Morgan, Frank
2016
Applications of the ‘Ham Sandwich Theorem’ to eigenvalues of the Laplacian. Zbl 1354.58024
Funano, Kei
2016
Weak capacity and modulus comparability in Ahlfors regular metric spaces. Zbl 1367.30043
Lindquist, Jeff
2016
Obata’s rigidity theorem for metric measure spaces. Zbl 1327.53051
Ketterer, Christian
2015
Stability and continuity of functions of least gradient. Zbl 1318.26028
Hakkarainen, H.; Korte, R.; Lahti, P.; Shanmugalingam, N.
2015
Monotone valuations on the space of convex functions. Zbl 1321.26027
Cavallina, L.; Colesanti, A.
2015
Inverse limit spaces satisfying a Poincaré inequality. Zbl 1331.46016
Cheeger, Jeff; Kleiner, Bruce
2015
Poincaré inequalities for mutually singular measures. Zbl 1310.26017
Schioppa, Andrea
2015
On conditions for unrectifiability of a metric space. Zbl 1321.28008
2015
Incidence axioms for the boundary at infinity of complex hyperbolic spaces. Zbl 1344.53026
2015
Gluing hyperconvex metric spaces. Zbl 1321.54053
Miesch, Benjamin
2015
Geodesics in the Heisenberg group. Zbl 1328.53039
Hajłasz, Piotr; Zimmerman, Scott
2015
Resolvent flows for convex functionals and $$p$$-harmonic maps. Zbl 1314.53071
Kuwae, Kazuhiro
2015
Some fine properties of BV functions on Wiener spaces. Zbl 1321.26058
Ambrosio, Luigi; Miranda, Michele jun.; Pallara, Diego
2015
Tight embeddability of proper and stable metric spaces. Zbl 1341.46015
Baudier, F.; Lancien, G.
2015
Sobolev-Kantorovich inequalities. Zbl 1326.35171
Ledoux, Michel
2015
Some results on maps that factor through a tree. Zbl 1317.51008
Züst, Roger
2015
Lusin-type theorems for Cheeger derivatives on metric measure spaces. Zbl 1325.26030
David, Guy C.
2015
The $$p$$-Royden and $$p$$-harmonic boundaries for metric measure spaces. Zbl 1317.31021
Lucia, Marcello; Puls, Michael J.
2015
An overview of the proof of the splitting theorem in spaces with non-negative Ricci curvature. Zbl 1310.53031
Gigli, Nicola
2014
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
2014
Metric characterizations of superreflexivity in terms of word hyperbolic groups and finite graphs. Zbl 1318.46010
Ostrovskii, Mikhail
2014
Uniformly convex metric spaces. Zbl 1311.53062
Kell, Martin
2014
On the curvature and heat flow on Hamiltonian systems. Zbl 1295.53029
Ohta, Shin-ichi
2014
Comparison of metric spectral gaps. Zbl 1316.46023
Naor, Assaf
2014
Isoperimetric and stable sets for log-concave perturbations of Gaussian measures. Zbl 1304.49096
Rosales, César
2014
Geodesics in asymmetric metric spaces. Zbl 1310.53039
Mennucci, Andrea C. G.
2014
Metric perspectives of the Ricci flow applied to disjoint unions. Zbl 1322.53037
2014
Complete non-orientable minimal surfaces in $$\mathbb{R}^{3}$$ and asymptotic behavior. Zbl 1304.49082
Alarcón, Antonio; López, Francisco J.
2014
Invertible Carnot groups. Zbl 1318.53023
Freeman, David M.
2014
Riemannian polyhedra and Liouville-type theorems for harmonic maps. Zbl 1309.53056
Sinaei, Zahra
2014
The boundary at infinity of a rough $$\mathrm{CAT}(0)$$ space. Zbl 1296.51023
Buckley, S. M.; Falk, K.
2014
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
2013
A formula for Popp’s volume in sub-Riemannian geometry. Zbl 1260.53062
Barilari, Davide; Rizzi, Luca
2013
On asymmetric distances. Zbl 1293.53081
Mennucci, Andrea C. G.
2013
Spectral calculus and Lipschitz extension for barycentric metric spaces. Zbl 1297.54037
Mendel, Manor; Naor, Assaf
2013
Fractional maximal functions in metric measure spaces. Zbl 1275.42032
Heikkinen, Toni; Lehrbäck, Juha; Nuutinen, Juho; Tuominen, Heli
2013
Conformal geometry and the composite membrane problem. Zbl 1258.35209
Chanillo, Sagun
2013
A non-probabilistic proof of the Assouad embedding theorem with bounds on the dimension. Zbl 1261.53039
David, Guy; Snipes, Marie
2013
Nonexistence results for semilinear equations in Carnot groups. Zbl 1258.35197
Ferrari, Fausto; Pinamonti, Andrea
2013
The Lusin theorem and horizontal graphs in the Heisenberg group. Zbl 1286.46036
Hajłasz, Piotr; Mirra, Jacob
2013
Dimension distortion by Sobolev mappings in foliated metric spaces. Zbl 1285.46029
Balogh, Zoltán M.; Tyson, Jeremy T.; Wildrick, Kevin
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
2013
The $$n$$-point condition and rough $$\text{CAT}(0)$$. Zbl 1262.30073
Buckley, Stephen M.; Hanson, Bruce
2013
Resistance conditions and applications. Zbl 1286.46037
Kinnunen, Juha; Silvestre, Pilar
2013
all top 5

#### Cited by 489 Authors

 16 Lahti, Panu 14 Yang, Dachun 10 Gigli, Nicola 10 Naor, Assaf 9 Le Donne, Enrico 9 Pinamonti, Andrea 9 Rizzi, Luca 7 Colesanti, Andrea 7 Ketterer, Christian 6 Ambrosio, Luigi 6 Schioppa, Andrea 6 Shanmugalingam, Nageswari 6 Yang, Sibei 6 Zhuo, Ciqiang 5 Barilari, Davide 5 Brock, Friedemann 5 Chiacchio, Francesco 5 Han, Bangxian 5 Honda, Shouhei 5 Kell, Martin 5 Ostrovskii, Mikhail Iosifovich 5 Pasqualetto, Enrico 4 Badger, Matthew 4 Baudier, Florent P. 4 Citti, Giovanna 4 David, Guy C. 4 Kapovitch, Vitali 4 Li, Baode 4 Mercaldo, Anna 4 Mondino, Andrea 4 Mussnig, Fabian 4 Semola, Daniele 4 Sturm, Karl-Theodor 4 The Anh Bui 3 Agrachev, Andreĭ Aleksandrovich 3 Alvino, Angelo 3 Antonelli, Gioacchino 3 Boscain, Ugo 3 Capogna, Luca 3 De Philippis, Guido 3 Duong, Xuan Thinh 3 Eriksson-Bique, Sylvester 3 Hajłasz, Piotr 3 Kinnunen, Juha 3 Kitabeppu, Yu 3 Kleiner, Bruce 3 Korte, Riikka 3 Kuwada, Kazumasa 3 Lakzian, Sajjad 3 Li, Bo 3 Liu, Shiping 3 Ludwig, Monika 3 Lytchak, Alexander 3 Magnani, Valentino 3 Mendel, Manor 3 Mennucci, Andrea Carlo Giuseppe 3 Münch, Florentin 3 Neel, Robert Weston 3 Posteraro, Maria Rosaria 3 Prisuelos-Arribas, Cruz 3 Rajala, Tapio 3 Schlumprecht, Thomas 3 Soultanis, Elefterios 3 Speight, Gareth 3 Vecchi, Eugenio 3 Wang, Zhuang 3 Zhao, Kai 2 Aino, Masayuki 2 Alarcón, Antonio 2 Aseev, Vladislav Vasil’evich 2 Azzam, Jonas 2 Balogh, Zoltán M. 2 Basso, Giuliano 2 Bertrand, Jérôme 2 Bruè, Elia 2 Buckley, Stephen M. 2 Cheeger, Jeff 2 Colasuonno, Francesca 2 Cowling, Michael G. 2 Cushing, David 2 Cúth, Marek 2 de la Sen, Manuel 2 De Ponti, Nicolò 2 Descombes, Dominic 2 Di Donato, Daniela 2 Di Marino, Simone 2 Dipierro, Serena 2 Doucha, Michal 2 Fässler, Katrin S. 2 Ferrari, Fausto 2 Franceschi, Valentina 2 Fu, Zunwei 2 Galaz-Garcia, Fernando 2 Galli, Matteo 2 Gartland, Chris 2 Ghinassi, Silvia 2 Górny, Wojciech 2 Guijarro, Luis 2 Hakkarainen, Heikki 2 Herron, David A. ...and 389 more Authors
all top 5

#### Cited in 138 Journals

 30 Analysis and Geometry in Metric Spaces 20 The Journal of Geometric Analysis 19 Calculus of Variations and Partial Differential Equations 17 Journal of Functional Analysis 13 Journal de Mathématiques Pures et Appliquées. Neuvième Série 13 Potential Analysis 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 11 Journal of Mathematical Analysis and Applications 11 Proceedings of the American Mathematical Society 10 Advances in Mathematics 9 Transactions of the American Mathematical Society 8 Geometric and Functional Analysis. GAFA 7 Revista Matemática Iberoamericana 6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 6 Science China. Mathematics 5 Geometriae Dedicata 5 Annales Academiae Scientiarum Fennicae. Mathematica 5 Advances in Calculus of Variations 4 Inventiones Mathematicae 4 Journal of Differential Equations 4 Manuscripta Mathematica 4 Mathematische Annalen 4 Communications in Contemporary Mathematics 4 Annales Fennici Mathematici 3 Annales de l’Institut Fourier 3 Indiana University Mathematics Journal 3 Siberian Mathematical Journal 3 Topology and its Applications 3 Forum Mathematicum 3 Differential Geometry and its Applications 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Journal of the European Mathematical Society (JEMS) 3 Communications on Pure and Applied Analysis 3 Frontiers of Mathematics in China 3 Banach Journal of Mathematical Analysis 3 Journal of Function Spaces 2 Arkiv för Matematik 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Archiv der Mathematik 2 Canadian Mathematical Bulletin 2 Demonstratio Mathematica 2 Duke Mathematical Journal 2 Mathematische Zeitschrift 2 Memoirs of the American Mathematical Society 2 Nagoya Mathematical Journal 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Probability Theory and Related Fields 2 Discrete & Computational Geometry 2 St. Petersburg Mathematical Journal 2 NoDEA. Nonlinear Differential Equations and Applications 2 Journal of Convex Analysis 2 The Journal of Fourier Analysis and Applications 2 Conformal Geometry and Dynamics 2 Geometry & Topology 2 Revista Matemática Complutense 2 Annals of Mathematics. Second Series 2 Journal of Dynamical and Control Systems 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Mediterranean Journal of Mathematics 2 Journal of Topology and Analysis 1 Archive for Rational Mechanics and Analysis 1 Communications in Mathematical Physics 1 Discrete Mathematics 1 Israel Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Mathematical Methods in the Applied Sciences 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Studia Mathematica 1 Journal of Geometry and Physics 1 The Mathematical Intelligencer 1 Applied Mathematics and Optimization 1 Canadian Journal of Mathematics 1 Collectanea Mathematica 1 Commentarii Mathematici Helvetici 1 Compositio Mathematica 1 Czechoslovak Mathematical Journal 1 Publications Mathématiques 1 Integral Equations and Operator Theory 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Journal für die Reine und Angewandte Mathematik 1 Monatshefte für Mathematik 1 Pacific Journal of Mathematics 1 Results in Mathematics 1 Ricerche di Matematica 1 Theoretical Computer Science 1 Ergodic Theory and Dynamical Systems 1 Zeitschrift für Analysis und ihre Anwendungen 1 Bulletin of the Korean Mathematical Society 1 Acta Mathematica Hungarica 1 Annals of Global Analysis and Geometry 1 Constructive Approximation 1 Journal of the American Mathematical Society 1 Sugaku Expositions 1 Numerical Algorithms 1 Aequationes Mathematicae 1 SIAM Journal on Mathematical Analysis 1 Bulletin of the American Mathematical Society. New Series 1 Expositiones Mathematicae ...and 38 more Journals
all top 5

#### Cited in 38 Fields

 158 Differential geometry (53-XX) 95 Functional analysis (46-XX) 76 Functions of a complex variable (30-XX) 65 Calculus of variations and optimal control; optimization (49-XX) 55 Measure and integration (28-XX) 55 Partial differential equations (35-XX) 52 Harmonic analysis on Euclidean spaces (42-XX) 49 Global analysis, analysis on manifolds (58-XX) 41 Real functions (26-XX) 36 General topology (54-XX) 34 Geometry (51-XX) 31 Potential theory (31-XX) 23 Topological groups, Lie groups (22-XX) 23 Operator theory (47-XX) 22 Combinatorics (05-XX) 19 Convex and discrete geometry (52-XX) 14 Group theory and generalizations (20-XX) 13 Probability theory and stochastic processes (60-XX) 10 Dynamical systems and ergodic theory (37-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Manifolds and cell complexes (57-XX) 4 Approximations and expansions (41-XX) 4 Abstract harmonic analysis (43-XX) 3 Difference and functional equations (39-XX) 3 Sequences, series, summability (40-XX) 3 Integral transforms, operational calculus (44-XX) 3 Computer science (68-XX) 3 Mechanics of deformable solids (74-XX) 3 Quantum theory (81-XX) 2 General and overarching topics; collections (00-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Algebraic topology (55-XX) 2 Numerical analysis (65-XX) 2 Operations research, mathematical programming (90-XX) 1 Algebraic geometry (14-XX) 1 Statistics (62-XX) 1 Relativity and gravitational theory (83-XX) 1 Systems theory; control (93-XX)