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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: 152 Publications (since 2013)
References Indexed: 151 Publications with 4,348 References.
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 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 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
...and 139 more Authors

Publications by Year

Citations contained in zbMATH Open

117 Publications have been cited 797 times in 670 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
58
2014
A primer on Carnot groups: homogenous groups, Carnot-Carathéodory spaces, and regularity of their isometries. Zbl 1392.53053
Le Donne, Enrico
46
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
42
2013
Obata’s rigidity theorem for metric measure spaces. Zbl 1327.53051
Ketterer, Christian
28
2015
A formula for Popp’s volume in sub-Riemannian geometry. Zbl 1260.53062
Barilari, Davide; Rizzi, Luca
28
2013
Characterization of low dimensional \(RCD^\ast(K, N)\) spaces. Zbl 1348.53046
Kitabeppu, Yu; Lakzian, Sajjad
27
2016
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.
20
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
19
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
Spectral calculus and Lipschitz extension for barycentric metric spaces. Zbl 1297.54037
Mendel, Manor; Naor, Assaf
17
2013
Inverse limit spaces satisfying a Poincaré inequality. Zbl 1331.46016
Cheeger, Jeff; Kleiner, Bruce
17
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
16
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
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
14
2020
Infinitesimal structure of differentiability spaces, and metric differentiation. Zbl 1360.30047
Cheeger, Jeff; Kleiner, Bruce; Schioppa, Andrea
13
2016
Volume bounds for the quantitative singular strata of non collapsed RCD metric measure spaces. Zbl 1428.53051
Antonelli, Gioacchino; Brué, Elia; Semola, Daniele
11
2019
Fractional maximal functions in metric measure spaces. Zbl 1275.42032
Heikkinen, Toni; Lehrbäck, Juha; Nuutinen, Juho; Tuominen, Heli
11
2013
Uniformly convex metric spaces. Zbl 1311.53062
Kell, Martin
11
2014
Metric characterizations of superreflexivity in terms of word hyperbolic groups and finite graphs. Zbl 1318.46010
Ostrovskii, Mikhail
10
2014
On the curvature and heat flow on Hamiltonian systems. Zbl 1295.53029
Ohta, Shin-ichi
9
2014
Poincaré inequalities for mutually singular measures. Zbl 1310.26017
Schioppa, Andrea
9
2015
Integral representation of local left-invariant functionals in Carnot groups. Zbl 1468.49013
Maione, A.; Vecchi, E.
8
2020
Gluing hyperconvex metric spaces. Zbl 1321.54053
Miesch, Benjamin
8
2015
Traces of Besov, Triebel-Lizorkin and Sobolev spaces on metric spaces. Zbl 1394.46028
Saksman, Eero; Soto, Tomás
8
2017
Geodesics in the Heisenberg group. Zbl 1328.53039
Hajłasz, Piotr; Zimmerman, Scott
8
2015
Comparison of metric spectral gaps. Zbl 1316.46023
Naor, Assaf
8
2014
Weakly noncollapsed RCD spaces with upper curvature bounds. Zbl 1434.53069
Kapovitch, Vitali; Ketterer, Christian
7
2019
A universal separable diversity. Zbl 1402.54030
Bryant, David; Nies, André; Tupper, Paul
7
2017
Flats in spaces with convex geodesic bicombings. Zbl 1341.53070
Descombes, Dominic; Lang, Urs
7
2016
A non-probabilistic proof of the Assouad embedding theorem with bounds on the dimension. Zbl 1261.53039
David, Guy; Snipes, Marie
7
2013
On conditions for unrectifiability of a metric space. Zbl 1321.28008
Hajłasz, Piotr; Malekzadeh, Soheil
7
2015
On the regularity of Alexandrov surfaces with curvature bounded below. Zbl 1353.53018
Ambrosio, Luigi; Bertrand, Jérôme
6
2016
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
Incidence axioms for the boundary at infinity of complex hyperbolic spaces. Zbl 1344.53026
Buyalo, Sergei; Schroeder, Viktor
5
2015
Some results on maps that factor through a tree. Zbl 1317.51008
Züst, Roger
5
2015
Sobolev-Kantorovich inequalities. Zbl 1326.35171
Ledoux, Michel
5
2015
Hyperbolic unfoldings of minimal hypersurfaces. Zbl 1401.30070
Lohkamp, Joachim
5
2018
Some invariant properties of quasi-Möbius maps. Zbl 1387.30086
Heer, Loreno
5
2017
Scalar curvature via local extent. Zbl 1405.53050
Veronelli, Giona
5
2018
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
CMC spheres in the Heisenberg group. Zbl 1428.53073
Franceschi, Valentina; Montefalcone, Francescopaolo; Monti, Roberto
5
2019
Conformal geometry and the composite membrane problem. Zbl 1258.35209
Chanillo, Sagun
5
2013
Resolvent flows for convex functionals and \(p\)-harmonic maps. Zbl 1314.53071
Kuwae, Kazuhiro
5
2015
The geometry of model spaces for probability-preserving actions of sofic groups. Zbl 1353.37005
Austin, Tim
5
2016
Remarks on manifolds with two-sided curvature bounds. Zbl 1483.53056
Kapovitch, Vitali; Lytchak, Alexander
4
2021
Trace operators on regular trees. Zbl 1478.46041
Koskela, Pekka; Nguyen, Khanh Ngoc; Wang, Zhuang
4
2020
Complex interpolation of Lizorkin-Triebel-Morrey spaces on domains. Zbl 1478.46017
Zhuo, Ciqiang; Hovemann, Marc; Sickel, Winfried
4
2020
Tight embeddability of proper and stable metric spaces. Zbl 1341.46015
Baudier, F.; Lancien, G.
4
2015
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
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
Long-scale ollivier Ricci curvature of graphs. Zbl 1415.05036
Cushing, D.; Kamtue, S.
4
2019
Admissibility versus \(A_p\)-conditions on regular trees. Zbl 1451.30122
Nguyen, Khanh Ngoc; Wang, Zhuang
4
2020
Brascamp-Lieb inequalities on compact homogeneous spaces. Zbl 1480.43002
Bramati, Roberto
4
2019
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
Some fine properties of BV functions on Wiener spaces. Zbl 1321.26058
Ambrosio, Luigi; Miranda, Michele jun.; Pallara, Diego
4
2015
Nonexistence results for semilinear equations in Carnot groups. Zbl 1258.35197
Ferrari, Fausto; Pinamonti, Andrea
4
2013
Metric perspectives of the Ricci flow applied to disjoint unions. Zbl 1322.53037
Lakzian, Sajjad; Munn, Michael
4
2014
Pointwise multipliers on weak Morrey spaces. Zbl 1475.42037
Kawasumi, Ryota; Nakai, Eiichi
3
2020
Embeddings between Triebel-Lizorkin spaces on metric spaces associated with operators. Zbl 1466.58007
Georgiadis, Athanasios G.; Kyriazis, George
3
2020
On the volume of sections of the cube. Zbl 1466.52008
Ivanov, Grigory; Tsiutsiurupa, Igor
3
2021
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
Lusin-type theorems for Cheeger derivatives on metric measure spaces. Zbl 1325.26030
David, Guy C.
3
2015
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 intrinsic characterization of five points in a CAT(0) space. Zbl 1475.53048
Toyoda, Tetsu
3
2020
The Lusin theorem and horizontal graphs in the Heisenberg group. Zbl 1286.46036
Hajłasz, Piotr; Mirra, Jacob
3
2013
Quasi-isometries need not induce homeomorphisms of contracting boundaries with the Gromov product topology. Zbl 1377.20030
Cashen, Christopher H.
3
2016
Invertible Carnot groups. Zbl 1318.53023
Freeman, David M.
3
2014
Commutators on weighted Morrey spaces on spaces of homogeneous type. Zbl 1466.42009
Gong, Ruming; Li, Ji; Pozzi, Elodie; Vempati, Manasa N.
2
2020
Lipschitz chain approximation of metric integral currents. Zbl 1509.49022
Goldhirsch, Tommaso
2
2022
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
Combinatorial modulus on boundary of right-angled hyperbolic buildings. Zbl 1373.20052
Clais, Antoine
2
2016
Bakry-Émery conditions on almost smooth metric measure spaces. Zbl 1405.53055
Honda, Shouhei
2
2018
Inradius estimates for convex domains in 2-dimensional Alexandrov spaces. Zbl 1448.53072
Drach, Kostiantyn
2
2018
The boundary at infinity of a rough \(\mathrm{CAT}(0)\) space. Zbl 1296.51023
Buckley, S. M.; Falk, K.
2
2014
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
Applications of integral geometry to geometric properties of sets in the 3D-Heisenberg group. Zbl 1361.53059
Huang, Yen-Chang
2
2016
Geometry of generated groups with metrics induced by their Cayley color graphs. Zbl 1515.20236
Suksumran, Teerapong
2
2019
Duality of moduli and quasiconformal mappings in metric spaces. Zbl 1451.30117
Jones, Rebekah; Lahti, Panu
2
2020
Group approximation in Cayley topology and coarse geometry. II: Fibred coarse embeddings. Zbl 1479.20031
Mimura, Masato; Sako, Hiroki
2
2019
The \(n\)-point condition and rough \(\text{CAT}(0)\). Zbl 1262.30073
Buckley, Stephen M.; Hanson, Bruce
2
2013
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
Variable anisotropic Hardy spaces with variable exponents. Zbl 1479.42065
Yang, Zhenzhen; Yang, Yajuan; Sun, Jiawei; Li, Baode
1
2021
Hölder parameterization of iterated function systems and a self-affine phenomenon. Zbl 1479.28003
Badger, Matthew; Vellis, Vyron
1
2021
BiLipschitz decomposition of Lipschitz maps between Carnot groups. Zbl 1331.53055
Li, Sean
1
2015
A simple proof of Dvoretzky-type theorem for Hausdorff dimension in doubling spaces. Zbl 1495.46016
Mendel, Manor
1
2022
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
5-point CAT(0) spaces after Tetsu Toyoda. Zbl 1484.53079
Lebedeva, Nina; Petrunin, Anton
1
2021
Characterization of Lipschitz functions via the commutators of multilinear fractional integral operators in variable Lebesgue spaces. Zbl 07727612
Zhang, Pu; Wu, Jianglong
1
2023
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
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
1
2022
A cornucopia of Carnot groups in low dimensions. Zbl 1503.53061
Le Donne, Enrico; Tripaldi, Francesca
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
Comparison theorems on weighted Finsler manifolds and spacetimes with \(\epsilon\)-range. Zbl 1493.53098
Lu, Yufeng; Minguzzi, Ettore; Ohta, Shin-ichi
1
2022
Remarks on manifolds with two-sided curvature bounds. Zbl 1483.53056
Kapovitch, Vitali; Lytchak, Alexander
4
2021
On the volume of sections of the cube. Zbl 1466.52008
Ivanov, Grigory; Tsiutsiurupa, Igor
3
2021
Variable anisotropic Hardy spaces with variable exponents. Zbl 1479.42065
Yang, Zhenzhen; Yang, Yajuan; Sun, Jiawei; Li, Baode
1
2021
Hölder parameterization of iterated function systems and a self-affine phenomenon. Zbl 1479.28003
Badger, Matthew; Vellis, Vyron
1
2021
5-point CAT(0) spaces after Tetsu Toyoda. Zbl 1484.53079
Lebedeva, Nina; Petrunin, Anton
1
2021
Concentration of product spaces. Zbl 1485.53055
Kazukawa, Daisuke
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
14
2020
Integral representation of local left-invariant functionals in Carnot groups. Zbl 1468.49013
Maione, A.; Vecchi, E.
8
2020
Trace operators on regular trees. Zbl 1478.46041
Koskela, Pekka; Nguyen, Khanh Ngoc; Wang, Zhuang
4
2020
Complex interpolation of Lizorkin-Triebel-Morrey spaces on domains. Zbl 1478.46017
Zhuo, Ciqiang; Hovemann, Marc; Sickel, Winfried
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
Admissibility versus \(A_p\)-conditions on regular trees. Zbl 1451.30122
Nguyen, Khanh Ngoc; Wang, Zhuang
4
2020
Pointwise multipliers on weak Morrey spaces. Zbl 1475.42037
Kawasumi, Ryota; Nakai, Eiichi
3
2020
Embeddings between Triebel-Lizorkin spaces on metric spaces associated with operators. Zbl 1466.58007
Georgiadis, Athanasios G.; Kyriazis, George
3
2020
An intrinsic characterization of five points in a CAT(0) space. Zbl 1475.53048
Toyoda, Tetsu
3
2020
Commutators on weighted Morrey spaces on spaces of homogeneous type. Zbl 1466.42009
Gong, Ruming; Li, Ji; Pozzi, Elodie; Vempati, Manasa N.
2
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
11
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
Long-scale ollivier Ricci curvature of graphs. Zbl 1415.05036
Cushing, D.; Kamtue, S.
4
2019
Brascamp-Lieb inequalities on compact homogeneous spaces. Zbl 1480.43002
Bramati, Roberto
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
Geometry of generated groups with metrics induced by their Cayley color graphs. Zbl 1515.20236
Suksumran, Teerapong
2
2019
Group approximation in Cayley topology and coarse geometry. II: Fibred coarse embeddings. Zbl 1479.20031
Mimura, Masato; Sako, Hiroki
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
Hyperbolic unfoldings of minimal hypersurfaces. Zbl 1401.30070
Lohkamp, Joachim
5
2018
Scalar curvature via local extent. Zbl 1405.53050
Veronelli, Giona
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
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
Bakry-Émery conditions on almost smooth metric measure spaces. Zbl 1405.53055
Honda, Shouhei
2
2018
Inradius estimates for convex domains in 2-dimensional Alexandrov spaces. Zbl 1448.53072
Drach, Kostiantyn
2
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
46
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
8
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
27
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
19
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
16
2016
Infinitesimal structure of differentiability spaces, and metric differentiation. Zbl 1360.30047
Cheeger, Jeff; Kleiner, Bruce; Schioppa, Andrea
13
2016
Flats in spaces with convex geodesic bicombings. Zbl 1341.53070
Descombes, Dominic; Lang, Urs
7
2016
On the regularity of Alexandrov surfaces with curvature bounded below. Zbl 1353.53018
Ambrosio, Luigi; Bertrand, Jérôme
6
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.
3
2016
Combinatorial modulus on boundary of right-angled hyperbolic buildings. Zbl 1373.20052
Clais, Antoine
2
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
Applications of integral geometry to geometric properties of sets in the 3D-Heisenberg group. Zbl 1361.53059
Huang, Yen-Chang
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
28
2015
Stability and continuity of functions of least gradient. Zbl 1318.26028
Hakkarainen, H.; Korte, R.; Lahti, P.; Shanmugalingam, N.
20
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
Gluing hyperconvex metric spaces. Zbl 1321.54053
Miesch, Benjamin
8
2015
Geodesics in the Heisenberg group. Zbl 1328.53039
Hajłasz, Piotr; Zimmerman, Scott
8
2015
On conditions for unrectifiability of a metric space. Zbl 1321.28008
Hajłasz, Piotr; Malekzadeh, Soheil
7
2015
Incidence axioms for the boundary at infinity of complex hyperbolic spaces. Zbl 1344.53026
Buyalo, Sergei; Schroeder, Viktor
5
2015
Some results on maps that factor through a tree. Zbl 1317.51008
Züst, Roger
5
2015
Sobolev-Kantorovich inequalities. Zbl 1326.35171
Ledoux, Michel
5
2015
Resolvent flows for convex functionals and \(p\)-harmonic maps. Zbl 1314.53071
Kuwae, Kazuhiro
5
2015
Tight embeddability of proper and stable metric spaces. Zbl 1341.46015
Baudier, F.; Lancien, G.
4
2015
Some fine properties of BV functions on Wiener spaces. Zbl 1321.26058
Ambrosio, Luigi; Miranda, Michele jun.; Pallara, Diego
4
2015
Lusin-type theorems for Cheeger derivatives on metric measure spaces. Zbl 1325.26030
David, Guy C.
3
2015
BiLipschitz decomposition of Lipschitz maps between Carnot groups. Zbl 1331.53055
Li, Sean
1
2015
The \(p\)-Royden and \(p\)-harmonic boundaries for metric measure spaces. Zbl 1317.31021
Lucia, Marcello; Puls, Michael J.
1
2015
An overview of the proof of the splitting theorem in spaces with non-negative Ricci curvature. Zbl 1310.53031
Gigli, Nicola
58
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
16
2014
Uniformly convex metric spaces. Zbl 1311.53062
Kell, Martin
11
2014
Metric characterizations of superreflexivity in terms of word hyperbolic groups and finite graphs. Zbl 1318.46010
Ostrovskii, Mikhail
10
2014
On the curvature and heat flow on Hamiltonian systems. Zbl 1295.53029
Ohta, Shin-ichi
9
2014
Comparison of metric spectral gaps. Zbl 1316.46023
Naor, Assaf
8
2014
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
Metric perspectives of the Ricci flow applied to disjoint unions. Zbl 1322.53037
Lakzian, Sajjad; Munn, Michael
4
2014
Invertible Carnot groups. Zbl 1318.53023
Freeman, David M.
3
2014
The boundary at infinity of a rough \(\mathrm{CAT}(0)\) space. Zbl 1296.51023
Buckley, S. M.; Falk, K.
2
2014
Complete non-orientable minimal surfaces in \(\mathbb{R}^{3}\) and asymptotic behavior. Zbl 1304.49082
Alarcón, Antonio; López, Francisco J.
2
2014
...and 17 more Documents
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Cited by 760 Authors

28 Yang, Dachun
20 Lahti, Panu
15 Le Donne, Enrico
13 Pinamonti, Andrea
12 Gigli, Nicola
12 Naor, Assaf
11 Antonelli, Gioacchino
11 Yuan, Wen
10 Honda, Shouhei
10 Ketterer, Christian
10 Mondino, Andrea
10 Semola, Daniele
9 Kapovitch, Vitali
9 Yang, Sibei
8 Bruè, Elia
8 Colesanti, Andrea
8 Pasqualetto, Enrico
8 Rizzi, Luca
7 Badger, Matthew
7 David, Guy C.
7 Górny, Wojciech
7 Shanmugalingam, Nageswari
7 Zhuo, Ciqiang
6 Ambrosio, Luigi
6 Baudier, Florent P.
6 Chiacchio, Francesco
6 Citti, Giovanna
6 Eriksson-Bique, Sylvester
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 Han, Bangxian
5 He, Ziyi
5 Lakzian, Sajjad
5 Li, Baode
5 Li, Xining
5 Liu, Xiong
5 Lytchak, Alexander
5 Ostrovskii, Mikhail Iosifovich
5 The Anh Bui
4 Duong, Xuan Thinh
4 Hajłasz, Piotr
4 Kitabeppu, Yu
4 Koskela, Pekka
4 Liu, Shiping
4 Ludwig, Monika
4 Mendel, Manor
4 Mennucci, Andrea Carlo Giuseppe
4 Mercaldo, Anna
4 Moisala, Terhi
4 Mondello, Ilaria
4 Mussnig, Fabian
4 Petrunin, Anton Mikhailovich
4 Pratelli, Aldo
4 Stefani, Giorgio
4 Wang, Fan
3 Adamowicz, Tomasz
3 Agrachev, Andreĭ Aleksandrovich
3 Alvino, Angelo
3 Anza Hafsa, Omar
3 Bertrand, Jérôme
3 Boscain, Ugo
3 Bryant, David
3 Capogna, Luca
3 Cavalletti, Fabio
3 Cheeger, Jeff
3 Cushing, David
3 De Philippis, Guido
3 Di Donato, Daniela
3 Don, Sebastiano
3 Doucha, Michal
3 Galaz-Garcia, Fernando
3 Giovannardi, Gianmarco
3 Hakavuori, Eero
3 Herron, David A.
3 Kinnunen, Juha
3 Kleiner, Bruce
3 Korte, Riikka
3 Ky, Luong Dang
3 Li, Bo
3 Li, Sean
3 Li, Yaxiang
3 Liu, Feng
3 Lohkamp, Joachim
3 Lučić, Danka
3 Maione, Alberto
3 Mandallena, Jean-Philippe
3 Miesch, Benjamin
3 Münch, Florentin
3 Neel, Robert Weston
...and 660 more Authors
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Cited in 186 Journals

39 Analysis and Geometry in Metric Spaces
38 The Journal of Geometric Analysis
28 Journal of Functional Analysis
28 Calculus of Variations and Partial Differential Equations
19 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
19 Proceedings of the American Mathematical Society
19 Potential Analysis
17 Advances in Mathematics
15 Journal of Mathematical Analysis and Applications
15 Journal de Mathématiques Pures et Appliquées. Neuvième Série
12 Transactions of the American Mathematical Society
10 Revista Matemática Iberoamericana
9 Geometric and Functional Analysis. GAFA
9 Advances in Calculus of Variations
8 Mathematische Zeitschrift
8 Geometry & Topology
7 Studia Mathematica
7 Mathematische Annalen
7 Communications in Contemporary Mathematics
7 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
7 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
6 Geometriae Dedicata
6 Inventiones Mathematicae
6 Journal of Differential Equations
6 Science China. Mathematics
6 Annales Fennici Mathematici
5 Indiana University Mathematics Journal
5 Journal of the London Mathematical Society. Second Series
5 Manuscripta Mathematica
5 Siberian Mathematical Journal
5 Annales Academiae Scientiarum Fennicae. Mathematica
5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
5 Analysis & PDE
5 Journal of Topology and Analysis
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Commentarii Mathematici Helvetici
4 Illinois Journal of Mathematics
4 Journal für die Reine und Angewandte Mathematik
4 Discrete & Computational Geometry
4 Forum Mathematicum
4 Differential Geometry and its Applications
4 Journal of the European Mathematical Society (JEMS)
4 Communications on Pure and Applied Analysis
3 Annales de l’Institut Fourier
3 Archiv der Mathematik
3 Bulletin of the London Mathematical Society
3 Mathematische Nachrichten
3 Ricerche di Matematica
3 Topology and its Applications
3 Annals of Global Analysis and Geometry
3 Sugaku Expositions
3 Bulletin des Sciences Mathématiques
3 The Journal of Fourier Analysis and Applications
3 Annals of Mathematics. Second Series
3 Acta Mathematica Sinica. English Series
3 Bulletin of the Malaysian Mathematical Sciences Society. 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 Israel Journal of Mathematics
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 Memoirs of the American Mathematical Society
2 Nagoya Mathematical Journal
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Results in Mathematics
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 St. Petersburg Mathematical Journal
2 NoDEA. Nonlinear Differential Equations and Applications
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 Journal of Physics A: Mathematical and Theoretical
2 Discrete and Continuous Dynamical Systems. Series S
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Journal of Spectral Theory
2 Advances in Nonlinear Analysis
2 Complex Analysis and its Synergies
...and 86 more Journals
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Cited in 46 Fields

274 Differential geometry (53-XX)
166 Functional analysis (46-XX)
126 Functions of a complex variable (30-XX)
113 Calculus of variations and optimal control; optimization (49-XX)
94 Partial differential equations (35-XX)
91 Harmonic analysis on Euclidean spaces (42-XX)
90 Measure and integration (28-XX)
79 Global analysis, analysis on manifolds (58-XX)
69 Real functions (26-XX)
57 Geometry (51-XX)
51 General topology (54-XX)
50 Topological groups, Lie groups (22-XX)
44 Potential theory (31-XX)
39 Convex and discrete geometry (52-XX)
35 Combinatorics (05-XX)
35 Operator theory (47-XX)
27 Group theory and generalizations (20-XX)
20 Probability theory and stochastic processes (60-XX)
16 Dynamical systems and ergodic theory (37-XX)
13 Abstract harmonic analysis (43-XX)
9 Manifolds and cell complexes (57-XX)
7 Several complex variables and analytic spaces (32-XX)
6 Difference and functional equations (39-XX)
6 Computer science (68-XX)
5 Approximations and expansions (41-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 Fluid mechanics (76-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Systems theory; control (93-XX)

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