Akman, Murat; Hofmann, Steve; Martell, José María; Toro, Tatiana Square function and non-tangential maximal function estimates for elliptic operators in 1-sided NTA domains satisfying the capacity density condition. (English) Zbl 07707655 Adv. Calc. Var. 16, No. 3, 731-766 (2023). MSC: 31B05 35J08 35J25 42B37 42B25 42B99 47F10 PDFBibTeX XMLCite \textit{M. Akman} et al., Adv. Calc. Var. 16, No. 3, 731--766 (2023; Zbl 07707655) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{M. Akman} et al., Forum Math. 35, No. 1, 245--295 (2023; Zbl 1509.31005) Full Text: DOI arXiv
Cao, Mingming; Domínguez, Óscar; Martell, José María; Tradacete, Pedro On the \(A_\infty\) condition for elliptic operators in 1-sided nontangentially accessible domains satisfying the capacity density condition. (English) Zbl 1503.35072 Forum Math. Sigma 10, Paper No. e59, 57 p. (2022). MSC: 35J15 PDFBibTeX XMLCite \textit{M. Cao} et al., Forum Math. Sigma 10, Paper No. e59, 57 p. (2022; Zbl 1503.35072) 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 PDFBibTeX XMLCite \textit{S. Hofmann} et al., Geom. Funct. Anal. 31, No. 2, 325--401 (2021; Zbl 1473.35165) Full Text: DOI 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 PDFBibTeX XMLCite \textit{J. Cavero} et al., Trans. Am. Math. Soc. 373, No. 11, 7901--7935 (2020; Zbl 1453.31011) 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 PDFBibTeX XMLCite \textit{J. Azzam} et al., Invent. Math. 222, No. 3, 881--993 (2020; Zbl 1453.31009) 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 PDFBibTeX XMLCite \textit{J. Cavero} et al., Trans. Am. Math. Soc. 371, No. 4, 2797--2835 (2019; Zbl 1410.31003) Full Text: DOI arXiv
Akman, Murat; Badger, Matthew; Hofmann, Steve; Martell, José María Rectifiability and elliptic measures on 1-sided NTA domains with Ahlfors-David regular boundaries. (English) Zbl 1373.31003 Trans. Am. Math. Soc. 369, No. 8, 5711-5745 (2017). Reviewer: Paolo Musolino (Padova) MSC: 31B05 31B25 28A75 PDFBibTeX XMLCite \textit{M. Akman} et al., Trans. Am. Math. Soc. 369, No. 8, 5711--5745 (2017; Zbl 1373.31003) Full Text: DOI arXiv
Hofmann, Steve; Le, Phi; Martell, José María; Nyström, Kaj The weak-\(A_\infty\) property of harmonic and \(p\)-harmonic measures implies uniform rectifiability. (English) Zbl 1369.31006 Anal. PDE 10, No. 3, 513-558 (2017). Reviewer: Paolo Musolino (Padova) MSC: 31B05 31B15 31B25 31B30 PDFBibTeX XMLCite \textit{S. Hofmann} et al., Anal. PDE 10, No. 3, 513--558 (2017; Zbl 1369.31006) Full Text: DOI arXiv
Azzam, Jonas; Hofmann, Steve; Martell, José María; Nyström, Kaj; Toro, Tatiana A new characterization of chord-arc domains. (English) Zbl 1366.28004 J. Eur. Math. Soc. (JEMS) 19, No. 4, 967-981 (2017). Reviewer: Alexander Ulanovskii (Stavanger) MSC: 28A75 31A15 31B05 35J25 42B37 49Q15 PDFBibTeX XMLCite \textit{J. Azzam} et al., J. Eur. Math. Soc. (JEMS) 19, No. 4, 967--981 (2017; Zbl 1366.28004) Full Text: DOI arXiv
Azzam, Jonas; Hofmann, Steve; Martell, José María; Mayboroda, Svitlana; Mourgoglou, Mihalis; Tolsa, Xavier; Volberg, Alexander Rectifiability of harmonic measure. (English) Zbl 1354.31004 Geom. Funct. Anal. 26, No. 3, 703-728 (2016). Reviewer: Stephen J. Gardiner (Dublin) MSC: 31B05 28A75 42B20 PDFBibTeX XMLCite \textit{J. Azzam} et al., Geom. Funct. Anal. 26, No. 3, 703--728 (2016; Zbl 1354.31004) Full Text: DOI arXiv
Hofmann, Steve; Martell, José María; Uriarte-Tuero, Ignacio Uniform rectifiability and harmonic measure. II: Poisson kernels in \(L^p\) imply uniform rectifiability. (English) Zbl 1323.31008 Duke Math. J. 163, No. 8, 1601-1654 (2014). Reviewer: Lavi Karp (Karmiel) MSC: 31B05 31B15 35J08 35J25 42B25 42B37 PDFBibTeX XMLCite \textit{S. Hofmann} et al., Duke Math. J. 163, No. 8, 1601--1654 (2014; Zbl 1323.31008) Full Text: DOI arXiv Euclid
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 PDFBibTeX XMLCite \textit{S. Hofmann} and \textit{J. M. Martell}, Trans. Am. Math. Soc. 364, No. 1, 65--101 (2012; Zbl 1247.42020) Full Text: DOI