Akman, Murat; Hofmann, Steve; Martell, José María; Toro, Tatiana Perturbation of elliptic operators in 1-sided NTA domains satisfying the capacity density condition. (English) Zbl 1509.31005 Forum Math. 35, No. 1, 245-295 (2023). MSC: 31B05 35J08 35J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Hofmann, Steve; Tapiola, Olli Uniform rectifiability implies Varopoulos extensions. (English) Zbl 1487.42058 Adv. Math. 390, Article ID 107961, 53 p. (2021). Reviewer: Liguang Liu (Beijing) MSC: 42B37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hofmann, Steve; Martell, José María; Mayboroda, Svitlana; Toro, Tatiana; Zhao, Zihui Uniform rectifiability and elliptic operators satisfying a Carleson measure condition. (English) Zbl 1473.35165 Geom. Funct. Anal. 31, No. 2, 325-401 (2021). Reviewer: Rodica Luca (Iaşi) MSC: 35J25 42B37 31B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv arXiv
Cavero, Juan; Hofmann, Steve; Martell, José María; Toro, Tatiana Perturbations of elliptic operators in 1-sided chord-arc domains. II: Non-symmetric operators and Carleson measure estimates. (English) Zbl 1453.31011 Trans. Am. Math. Soc. 373, No. 11, 7901-7935 (2020). Reviewer: Paolo Musolino (Padova) MSC: 31B05 35J08 35J25 42B99 42B25 42B37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Azzam, Jonas; Hofmann, Steve; Martell, José María; Mourgoglou, Mihalis; Tolsa, Xavier Harmonic measure and quantitative connectivity: geometric characterization of the \(L^p\)-solvability of the Dirichlet problem. (English) Zbl 1453.31009 Invent. Math. 222, No. 3, 881-993 (2020). Reviewer: Paolo Musolino (Padova) MSC: 31B05 35J25 42B25 42B37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barton, Ariel; Hofmann, Steve; Mayboroda, Svitlana Dirichlet and Neumann boundary values of solutions to higher order elliptic equations. (Conditions aux limites de type Dirichlet ou Neumann non-homogènes pour les solutions d’équations elliptiques d’ordre supérieur.) (English. French summary) Zbl 1432.35091 Ann. Inst. Fourier 69, No. 4, 1627-1678 (2019). Reviewer: Dian K. Palagachev (Bari) MSC: 35J67 35J30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cavero, Juan; Hofmann, Steve; Martell, José María Perturbations of elliptic operators in 1-sided chord-arc domains. I: Small and large perturbation for symmetric operators. (English) Zbl 1410.31003 Trans. Am. Math. Soc. 371, No. 4, 2797-2835 (2019). Reviewer: Dian K. Palagachev (Bari) MSC: 31B05 35J08 35J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bortz, Simon; Hofmann, Steve Harmonic measure and approximation of uniformly rectifiable sets. (English) Zbl 1371.28002 Rev. Mat. Iberoam. 33, No. 1, 351-373 (2017). Reviewer: Wen Yuan (Beijing) MSC: 28A75 28A78 31B05 42B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Azzam, Jonas; Hofmann, Steve; Martell, José María; Mayboroda, Svitlana; Mourgoglou, Mihalis; Tolsa, Xavier; Volberg, Alexander Harmonic measure is rectifiable if it is absolutely continuous with respect to the co-dimension-one Hausdorff measure. (La mesure harmonique est toujours rectifiable dès qu’elle est absolument continue par rapport à la mesure de Hausdorff de codimension 1.) (English. Abridged French version) Zbl 1387.28004 C. R., Math., Acad. Sci. Paris 354, No. 4, 351-355 (2016). MSC: 28A75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hofmann, Steve; Martell, José María \(A_{\infty }\) estimates via extrapolation of Carleson measures and applications to divergence form elliptic operators. (English) Zbl 1247.42020 Trans. Am. Math. Soc. 364, No. 1, 65-101 (2012). Reviewer: Yang Dachun (Beijing) MSC: 42B99 42B25 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Hofmann, Steve; Mcintosh, Alan Boundedness and applications of singular integrals and square functions: a survey. (English) Zbl 1255.42016 Bull. Math. Sci. 1, No. 2, 201-244 (2011). MSC: 42B20 42B25 35J25 47F05 47B44 × Cite Format Result Cite Review PDF Full Text: DOI