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Simon Bortz
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Year
Nonlocal self-improving properties: a functional analytic approach
P Auscher, S Bortz, M Egert, O Saari
Tunisian Journal of Mathematics 1 (2), 151-183, 2018
502018
Harmonic measure and approximation of uniformly rectifiable sets
S Bortz, S Hofmann
Revista matemática iberoamericana 33 (1), 351-373, 2017
162017
On regularity of weak solutions to linear parabolic systems with measurable coefficients
P Auscher, S Bortz, M Egert, O Saari
Journal de Mathématiques Pures et Appliquées 121, 216-243, 2019
142019
Non-local Gehring lemmas in spaces of homogeneous type and applications
P Auscher, S Bortz, M Egert, O Saari
The Journal of Geometric Analysis 30 (4), 3760-3805, 2020
13*2020
Rectifiability, interior approximation and harmonic measure
M Akman, S Bortz, S Hofmann, JM Martell
132019
𝜖-approximability of harmonic functions in 𝐿^{𝑝} implies uniform rectifiability
S Bortz, O Tapiola
Proceedings of the American Mathematical Society 147 (5), 2107-2121, 2019
122019
Corona decompositions for parabolic uniformly rectifiable sets
S Bortz, J Hoffman, S Hofmann, JL Luna-Garcia, K Nyström
The Journal of Geometric Analysis 33 (3), 96, 2023
112023
Critical perturbations for second order elliptic operators. Part i: square function bounds for layer potentials
S Bortz, S Hofmann, JLL García, S Mayboroda, B Poggi
arXiv preprint arXiv:2003.02703, 2020
102020
A singular integral approach to a two phase free boundary problem
S Bortz, S Hofmann
Proceedings of the American Mathematical Society 144 (9), 3959-3973, 2016
102016
Coronizations and big pieces in metric spaces
S Bortz, J Hoffman, S Hofmann, JLL Garcia, K Nyström
arXiv preprint arXiv:2008.11544, 2020
82020
Coronizations and big pieces in metric spaces
S Bortz, J Hoffman, S Hofmann, JL Luna-Garcia, K Nyström
Annales de l'Institut Fourier 72 (5), 2037-2078, 2022
72022
Sobolev contractivity of gradient flow maximal functions
S Bortz, M Egert, O Saari
Advances in Calculus of Variations, 2023
62023
Elliptic measures for Dahlberg–Kenig–Pipher operators: asymptotically optimal estimates
S Bortz, T Toro, Z Zhao
Mathematische Annalen 385 (1), 881-919, 2023
62023
Quantitative Fatou theorems and uniform rectifiability
S Bortz, S Hofmann
arXiv preprint arXiv:1801.01371, 2018
62018
Critical perturbations for second order elliptic operators
S Bortz, S Hofmann, JLL García, S Mayboroda, B Poggi
Part ii: existence, uniqueness, and bounds on the non-tangential maximal …, 2003
62003
Two phase free boundary problem for Poisson kernels
S Bortz, M Engelstein, M Goering, T Toro, Z Zhao
arXiv preprint arXiv:1908.03033, 2019
52019
Optimal Poisson kernel regularity for elliptic operators with Hölder continuous coefficients in vanishing chord-arc domains
S Bortz, T Toro, Z Zhao
Journal of Functional Analysis 285 (5), 110025, 2023
42023
Carleson measure estimates for caloric functions and parabolic uniformly rectifiable sets
S Bortz, J Hoffman, S Hofmann, JLL Garcia, K Nyström
Anal. PDE 16 (4), 1061-1088, 2023
42023
On big pieces approximations of parabolic hypersurfaces
S Bortz, J Hoffman, S Hofmann, JL Luna-Garcia, K Nyström
arXiv preprint arXiv:2102.11912, 2021
42021
Parabolic singular integrals with nonhomogeneous kernels
S Bortz, J Hoffman, S Hofmann, JLL Garcia, K Nystrom
arXiv preprint arXiv:2103.12830, 2021
32021
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