×
Author ID: toro.tatiana Recent zbMATH articles by "Toro, Tatiana"
Published as: Toro, Tatiana; Toro, T.
Homepage: https://sites.math.washington.edu/~toro/
External Links: MGP · ORCID · Wikidata · GND · IdRef
Documents Indexed: 51 Publications since 1994, including 1 Book
4 Contributions as Editor
Biographic References: 1 Publication
Co-Authors: 35 Co-Authors with 47 Joint Publications
952 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

42 Publications have been cited 937 times in 484 Documents Cited by Year
Doubling and flatness: Geometry of measures. Zbl 0909.31006
Toro, Tatiana
116
1997
A new approach to absolute continuity of elliptic measure, with applications to non-symmetric equations. Zbl 0958.35025
Kenig, C.; Koch, H.; Pipher, J.; Toro, T.
76
2000
Free boundary regularity for harmonic measures and Poisson kernels. Zbl 0946.31001
Kenig, Carlos E.; Toro, Tatiana
75
1999
Harmonic measure on locally flat domains. Zbl 0878.31002
Kenig, Carlos E.; Toro, Tatiana
73
1997
Poisson kernel characterization of Reifenberg flat chord arc domains. Zbl 1027.31005
Kenig, Carlos E.; Toro, Tatiana
52
2003
Reifenberg parameterizations for sets with holes. Zbl 1236.28002
David, Guy; Toro, Tatiana
45
2012
A new characterization of chord-arc domains. Zbl 1366.28004
Azzam, Jonas; Hofmann, Steve; Martell, José María; Nyström, Kaj; Toro, Tatiana
44
2017
Geometric conditions and existence of bi-Lipschitz parameterizations. Zbl 0847.42011
Toro, Tatiana
35
1995
Reifenberg flat metric spaces, snowballs, and embeddings. Zbl 0944.53004
David, Guy; Toro, T.
34
1999
Square functions and the \(A_\infty\) property of elliptic measures. Zbl 1386.35070
Kenig, C.; Kirchheim, B.; Pipher, J.; Toro, T.
32
2016
Asymptotically optimally doubling measures and Reifenberg flat sets with vanishing constant. Zbl 1031.28004
David, Guy; Kenig, Carlos; Toro, Tatiana
27
2001
A generalization of Reifenberg’s theorem in \({\mathbb{R}}^3\). Zbl 1169.49040
David, Guy; Pauw, Thierry De; Toro, Tatiana
27
2008
\(A_\infty\) implies NTA for a class of variable coefficient elliptic operators. Zbl 1378.35092
Hofmann, Steve; Martell, José María; Toro, Tatiana
23
2017
Divergence form operators in Reifenberg flat domains. Zbl 1186.35047
Milakis, Emmanouil; Toro, Tatiana
23
2010
Free boundary regularity below the continuous threshold: 2-phase problems. Zbl 1106.35147
Kenig, Carlos; Toro, Tatiana
21
2006
Regularity of almost minimizers with free boundary. Zbl 1378.35337
David, Guy; Toro, T.
19
2015
Compactness properties of weakly \(p\)-harmonic maps into homogeneous spaces. Zbl 0826.58014
Toro, Tatiana; Wang, Changyou
18
1995
Surfaces with generalized second fundamental form in \(L^ 2\) are Lipschitz manifolds. Zbl 0806.53020
Toro, Tatiana
18
1994
Boundary structure and size in terms of interior and exterior harmonic measures in higher dimensions. Zbl 1206.28002
Kenig, C.; Preiss, D.; Toro, T.
18
2009
The Cauchy problem for Schrödinger flows into Kähler manifolds. Zbl 1193.35208
Kenig, Carlos; Lamm, Tobias; Pollack, Daniel; Staffilani, Gigliola; Toro, Tatiana
15
2010
Wasserstein distance and the rectifiability of doubling measures. I. Zbl 1334.28004
Azzam, Jonas; David, Guy; Toro, Tatiana
14
2016
Rectifiability via a square function and Preiss’ theorem. Zbl 1318.28014
Tolsa, Xavier; Toro, Tatiana
13
2015
Uniform rectifiability and elliptic operators satisfying a Carleson measure condition. Zbl 1473.35165
Hofmann, Steve; Martell, José María; Mayboroda, Svitlana; Toro, Tatiana; Zhao, Zihui
13
2021
On the smoothness of Hölder doubling measures. Zbl 1171.28001
Preiss, D.; Tolsa, X.; Toro, T.
12
2009
Harmonic analysis on chord arc domains. Zbl 1282.35151
Milakis, Emmanouil; Pipher, Jill; Toro, Tatiana
12
2013
Free boundary regularity for almost-minimizers. Zbl 1455.35303
David, Guy; Engelstein, Max; Toro, Tatiana
12
2019
Perturbations of elliptic operators in chord arc domains. Zbl 1305.35042
Milakis, Emmanouil; Pipher, Jill; Toro, Tatiana
11
2014
Perturbations of elliptic operators in 1-sided chord-arc domains. II: Non-symmetric operators and Carleson measure estimates. Zbl 1453.31011
Cavero, Juan; Hofmann, Steve; Martell, José María; Toro, Tatiana
8
2020
Wasserstein distance and the rectifiability of doubling measures. II. Zbl 1375.28005
Azzam, Jonas; David, Guy; Toro, Tatiana
8
2017
Structure of sets which are well approximated by zero sets of harmonic polynomials. Zbl 1369.33017
Badger, Matthew; Engelstein, Max; Toro, Tatiana
7
2017
Characterization of rectifiable measures in terms of \(\alpha \)-numbers. Zbl 1454.28001
Azzam, Jonas; Tolsa, Xavier; Toro, Tatiana
6
2020
On the free boundary regularity theorem of Alt and Caffarelli. Zbl 1051.31001
Kenig, Carlos E.; Toro, Tatiana
6
2004
Boundary rectifiability and elliptic operators with \(W^{1, 1}\) coefficients. Zbl 07306550
Toro, Tatiana; Zhao, Zihui
5
2021
Free boundary regularity for the Poisson kernel below the continuous threshold. Zbl 1005.31004
Kenig, Carlos E.; Toro, Tatiana
4
2002
Quasisymmetry and rectifiability of quasispheres. Zbl 1291.30129
Badger, Matthew; Gill, James T.; Rohde, Steffen; Toro, Tatiana
4
2014
Quasiconformal planes with bi-Lipschitz pieces and extensions of almost affine maps. Zbl 1320.30043
Azzam, Jonas; Badger, Matthew; Toro, Tatiana
2
2015
Potential analysis meets geometric measure theory. Zbl 1251.28002
Toro, Tatiana
2
2011
Elliptic measures for Dahlberg-Kenig-Pipher operators: asymptotically optimal estimates. Zbl 1519.35094
Bortz, S.; Toro, T.; Zhao, Z.
2
2023
Regularity for almost-minimizers of variable coefficient Bernoulli-type functionals. Zbl 1478.35064
David, Guy; Engelstein, Max; Smit Vega Garcia, Mariana; Toro, Tatiana
2
2021
Optimal Poisson kernel regularity for elliptic operators with Hölder continuous coefficients in vanishing chord-arc domains. Zbl 1518.35354
Bortz, S.; Toro, T.; Zhao, Z.
1
2023
Two phase free boundary problem for Poisson kernels. Zbl 1497.31003
Bortz, Simon; Engelstein, Max; Goering, Max; Toro, Tatiana; Zhao, Zihui
1
2022
Perturbation of elliptic operators in 1-sided NTA domains satisfying the capacity density condition. Zbl 1509.31005
Akman, Murat; Hofmann, Steve; Martell, José María; Toro, Tatiana
1
2023
Elliptic measures for Dahlberg-Kenig-Pipher operators: asymptotically optimal estimates. Zbl 1519.35094
Bortz, S.; Toro, T.; Zhao, Z.
2
2023
Optimal Poisson kernel regularity for elliptic operators with Hölder continuous coefficients in vanishing chord-arc domains. Zbl 1518.35354
Bortz, S.; Toro, T.; Zhao, Z.
1
2023
Perturbation of elliptic operators in 1-sided NTA domains satisfying the capacity density condition. Zbl 1509.31005
Akman, Murat; Hofmann, Steve; Martell, José María; Toro, Tatiana
1
2023
Two phase free boundary problem for Poisson kernels. Zbl 1497.31003
Bortz, Simon; Engelstein, Max; Goering, Max; Toro, Tatiana; Zhao, Zihui
1
2022
Uniform rectifiability and elliptic operators satisfying a Carleson measure condition. Zbl 1473.35165
Hofmann, Steve; Martell, José María; Mayboroda, Svitlana; Toro, Tatiana; Zhao, Zihui
13
2021
Boundary rectifiability and elliptic operators with \(W^{1, 1}\) coefficients. Zbl 07306550
Toro, Tatiana; Zhao, Zihui
5
2021
Regularity for almost-minimizers of variable coefficient Bernoulli-type functionals. Zbl 1478.35064
David, Guy; Engelstein, Max; Smit Vega Garcia, Mariana; Toro, Tatiana
2
2021
Perturbations of elliptic operators in 1-sided chord-arc domains. II: Non-symmetric operators and Carleson measure estimates. Zbl 1453.31011
Cavero, Juan; Hofmann, Steve; Martell, José María; Toro, Tatiana
8
2020
Characterization of rectifiable measures in terms of \(\alpha \)-numbers. Zbl 1454.28001
Azzam, Jonas; Tolsa, Xavier; Toro, Tatiana
6
2020
Free boundary regularity for almost-minimizers. Zbl 1455.35303
David, Guy; Engelstein, Max; Toro, Tatiana
12
2019
A new characterization of chord-arc domains. Zbl 1366.28004
Azzam, Jonas; Hofmann, Steve; Martell, José María; Nyström, Kaj; Toro, Tatiana
44
2017
\(A_\infty\) implies NTA for a class of variable coefficient elliptic operators. Zbl 1378.35092
Hofmann, Steve; Martell, José María; Toro, Tatiana
23
2017
Wasserstein distance and the rectifiability of doubling measures. II. Zbl 1375.28005
Azzam, Jonas; David, Guy; Toro, Tatiana
8
2017
Structure of sets which are well approximated by zero sets of harmonic polynomials. Zbl 1369.33017
Badger, Matthew; Engelstein, Max; Toro, Tatiana
7
2017
Square functions and the \(A_\infty\) property of elliptic measures. Zbl 1386.35070
Kenig, C.; Kirchheim, B.; Pipher, J.; Toro, T.
32
2016
Wasserstein distance and the rectifiability of doubling measures. I. Zbl 1334.28004
Azzam, Jonas; David, Guy; Toro, Tatiana
14
2016
Regularity of almost minimizers with free boundary. Zbl 1378.35337
David, Guy; Toro, T.
19
2015
Rectifiability via a square function and Preiss’ theorem. Zbl 1318.28014
Tolsa, Xavier; Toro, Tatiana
13
2015
Quasiconformal planes with bi-Lipschitz pieces and extensions of almost affine maps. Zbl 1320.30043
Azzam, Jonas; Badger, Matthew; Toro, Tatiana
2
2015
Perturbations of elliptic operators in chord arc domains. Zbl 1305.35042
Milakis, Emmanouil; Pipher, Jill; Toro, Tatiana
11
2014
Quasisymmetry and rectifiability of quasispheres. Zbl 1291.30129
Badger, Matthew; Gill, James T.; Rohde, Steffen; Toro, Tatiana
4
2014
Harmonic analysis on chord arc domains. Zbl 1282.35151
Milakis, Emmanouil; Pipher, Jill; Toro, Tatiana
12
2013
Reifenberg parameterizations for sets with holes. Zbl 1236.28002
David, Guy; Toro, Tatiana
45
2012
Potential analysis meets geometric measure theory. Zbl 1251.28002
Toro, Tatiana
2
2011
Divergence form operators in Reifenberg flat domains. Zbl 1186.35047
Milakis, Emmanouil; Toro, Tatiana
23
2010
The Cauchy problem for Schrödinger flows into Kähler manifolds. Zbl 1193.35208
Kenig, Carlos; Lamm, Tobias; Pollack, Daniel; Staffilani, Gigliola; Toro, Tatiana
15
2010
Boundary structure and size in terms of interior and exterior harmonic measures in higher dimensions. Zbl 1206.28002
Kenig, C.; Preiss, D.; Toro, T.
18
2009
On the smoothness of Hölder doubling measures. Zbl 1171.28001
Preiss, D.; Tolsa, X.; Toro, T.
12
2009
A generalization of Reifenberg’s theorem in \({\mathbb{R}}^3\). Zbl 1169.49040
David, Guy; Pauw, Thierry De; Toro, Tatiana
27
2008
Free boundary regularity below the continuous threshold: 2-phase problems. Zbl 1106.35147
Kenig, Carlos; Toro, Tatiana
21
2006
On the free boundary regularity theorem of Alt and Caffarelli. Zbl 1051.31001
Kenig, Carlos E.; Toro, Tatiana
6
2004
Poisson kernel characterization of Reifenberg flat chord arc domains. Zbl 1027.31005
Kenig, Carlos E.; Toro, Tatiana
52
2003
Free boundary regularity for the Poisson kernel below the continuous threshold. Zbl 1005.31004
Kenig, Carlos E.; Toro, Tatiana
4
2002
Asymptotically optimally doubling measures and Reifenberg flat sets with vanishing constant. Zbl 1031.28004
David, Guy; Kenig, Carlos; Toro, Tatiana
27
2001
A new approach to absolute continuity of elliptic measure, with applications to non-symmetric equations. Zbl 0958.35025
Kenig, C.; Koch, H.; Pipher, J.; Toro, T.
76
2000
Free boundary regularity for harmonic measures and Poisson kernels. Zbl 0946.31001
Kenig, Carlos E.; Toro, Tatiana
75
1999
Reifenberg flat metric spaces, snowballs, and embeddings. Zbl 0944.53004
David, Guy; Toro, T.
34
1999
Doubling and flatness: Geometry of measures. Zbl 0909.31006
Toro, Tatiana
116
1997
Harmonic measure on locally flat domains. Zbl 0878.31002
Kenig, Carlos E.; Toro, Tatiana
73
1997
Geometric conditions and existence of bi-Lipschitz parameterizations. Zbl 0847.42011
Toro, Tatiana
35
1995
Compactness properties of weakly \(p\)-harmonic maps into homogeneous spaces. Zbl 0826.58014
Toro, Tatiana; Wang, Changyou
18
1995
Surfaces with generalized second fundamental form in \(L^ 2\) are Lipschitz manifolds. Zbl 0806.53020
Toro, Tatiana
18
1994
all top 5

Cited by 376 Authors

61 Byun, Sun-Sig
33 Hofmann, Steve
30 Toro, Tatiana
25 Mayboroda, Svitlana
19 Azzam, Jonas
18 David, Guy
18 Nyström, Kaj
18 Tolsa, Xavier
17 Wang, Lihe
16 Badger, Matthew
16 Kenig, Carlos Eduardo
16 Pipher, Jill Catherine
13 Martell, José María (Chema)
13 Mourgoglou, Mihalis
12 Dindoš, Martin
12 Engelstein, Max
11 Cho, Yumi
11 Feneuil, Joseph
11 Ok, Jihoon
11 Ryu, Seungjin
9 Bortz, Simon
9 Palagachev, Dian K.
9 Softova, Lubomira G.
8 Barton, Ariel E.
8 Mitrea, Marius
8 Nguyen Cong Phuc
8 The Anh Bui
7 Auscher, Pascal
7 Jang, Yunsoo
7 Strzelecki, Paweł
7 Yang, Sibei
7 Zhao, Zihui
6 Li, Linhan
6 Liang, Shuang
6 Park, Jung-Tae
6 Schul, Raanan
6 Valtorta, Daniele
6 Velichkov, Bozhidar
6 von der Mosel, Heiko
6 Yang, Dachun
5 Axelsson, Andreas
5 Duong, Xuan Thinh
5 Heinonen, Juha
5 Lemenant, Antoine
5 Lewis, John L.
5 Li, Dongsheng
5 Rozanova-Pierrat, Anna
5 Terracini, Susanna
5 Villa, Michele
5 Zheng, Shenzhou
4 Akman, Murat
4 Avelin, Benny
4 Kim, Youchan
4 Lundström, Niklas L. P.
4 Maekawa, Yasunori
4 Milakis, Emmanouil
4 Miura, Hideyuki
4 Naber, Aaron C.
4 Nguyen, Thanh-Nhan
4 Rivière, Tristan
4 Schikorra, Armin
4 Shin, Pilsoo
4 Teplyaev, Alexander
4 Tran, Minh Phuong
4 Vellis, Vyron
3 Colding, Tobias Holck
3 Dąbrowski, Damian
3 De Silva, Daniela
3 Garnett, John Brady
3 Guliyev, Vagif Sabir
3 Hinz, Michael
3 Le, Phi Long
3 Le, Xuan Truong
3 Luna-Garcia, Jose Luis
3 Mengesha, Tadele
3 Mitrea, Irina
3 Oh, Jehan
3 Onodera, Eiji
3 Orponen, Tuomas
3 Poggi, Bruno
3 Preiss, David
3 Puliatti, Carmelo
3 Rivera-Noriega, Jorge
3 Rule, David J.
3 Shahgholian, Henrik
3 So, Hyoungsuk
3 Spolaor, Luca
3 Tapiola, Olli
3 Tavares, Hugo
3 Taylor, Michael Eugene
3 Trey, Baptiste
3 Wang, Changyou
3 Wu, Jang-Mei
3 Yuan, Wen
2 Adimurthi, Karthik
2 Blank, Ivan A.
2 Bonk, Mario
2 Burchard, Almut
2 Cao, Mingming
2 Cavero, Juan
...and 276 more Authors
all top 5

Cited in 111 Serials

28 Calculus of Variations and Partial Differential Equations
24 Journal of Differential Equations
24 Transactions of the American Mathematical Society
23 The Journal of Geometric Analysis
22 Advances in Mathematics
22 Journal of Functional Analysis
19 Analysis & PDE
16 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
14 Revista Matemática Iberoamericana
13 Proceedings of the American Mathematical Society
13 Communications in Partial Differential Equations
12 Mathematische Annalen
11 Journal of Mathematical Analysis and Applications
10 Duke Mathematical Journal
10 Mathematische Zeitschrift
9 Archive for Rational Mechanics and Analysis
8 Geometric and Functional Analysis. GAFA
7 Inventiones Mathematicae
6 Journal für die Reine und Angewandte Mathematik
6 Manuscripta Mathematica
6 Memoirs of the American Mathematical Society
6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
6 Potential Analysis
6 Annales Academiae Scientiarum Fennicae. Mathematica
6 Acta Mathematica Sinica. English Series
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Communications in Contemporary Mathematics
4 Communications on Pure and Applied Mathematics
4 SIAM Journal on Mathematical Analysis
4 Discrete and Continuous Dynamical Systems
4 The Journal of Fourier Analysis and Applications
4 Journal of the European Mathematical Society (JEMS)
4 Advances in Nonlinear Analysis
3 Communications in Mathematical Physics
3 Illinois Journal of Mathematics
3 Publications Mathématiques
3 Journal of the London Mathematical Society. Second Series
3 Journal of the American Mathematical Society
3 Publicacions Matemàtiques
3 Annals of Mathematics. Second Series
3 Advanced Nonlinear Studies
3 Communications on Pure and Applied Analysis
3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
3 Advances in Calculus of Variations
3 Forum of Mathematics, Sigma
3 Annales Fennici Mathematici
2 Nonlinearity
2 Annales de l’Institut Fourier
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Bulletin of the London Mathematical Society
2 Indiana University Mathematics Journal
2 Mathematische Nachrichten
2 Proceedings of the London Mathematical Society. Third Series
2 Bulletin of the American Mathematical Society. New Series
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 NoDEA. Nonlinear Differential Equations and Applications
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Analysis and Geometry in Metric Spaces
1 Discrete Mathematics
1 Israel Journal of Mathematics
1 Journal of Mathematical Physics
1 Mathematical Methods in the Applied Sciences
1 Arkiv för Matematik
1 Acta Mathematica
1 American Journal of Mathematics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Commentarii Mathematici Helvetici
1 Functional Analysis and its Applications
1 Journal of the Korean Mathematical Society
1 Kodai Mathematical Journal
1 Rendiconti del Seminario Matematico della Università di Padova
1 SIAM Journal on Control and Optimization
1 Annals of Global Analysis and Geometry
1 Asymptotic Analysis
1 Forum Mathematicum
1 Differential Geometry and its Applications
1 Applied Mathematical Modelling
1 SIAM Journal on Applied Mathematics
1 Journal of Dynamics and Differential Equations
1 Indagationes Mathematicae. New Series
1 Journal of Knot Theory and its Ramifications
1 Applied Mathematics. Series B (English Edition)
1 Journal of Mathematical Sciences (New York)
1 Electronic Journal of Differential Equations (EJDE)
1 St. Petersburg Mathematical Journal
1 Advances in Differential Equations
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Vietnam Journal of Mathematics
1 Geometry & Topology
1 Revista Matemática Complutense
1 Journal of Mathematical Fluid Mechanics
1 Interfaces and Free Boundaries
1 Nonlinear Analysis. Real World Applications
1 Journal of Evolution Equations
1 Discrete and Continuous Dynamical Systems. Series B
1 Computational Methods and Function Theory
1 Analysis and Applications (Singapore)
1 Journal of Function Spaces and Applications
1 Boundary Value Problems
...and 11 more Serials

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.