Orponen, Tuomas (ed.); Shmerkin, Pablo (ed.); Wang, Hong (ed.) Incidence problems in harmonic analysis, geometric measure theory, and ergodic theory. Abstracts from the workshop held June 4–9, 2023. (English) Zbl 1528.42001 Oberwolfach Rep. 20, No. 2, 1397-1452 (2023). MSC: 42-06 22-06 00B05 00B25 28A80 22D40 37C45 37A46 42Bxx 68Q30 11J83 PDFBibTeX XMLCite \textit{T. Orponen} (ed.) et al., Oberwolfach Rep. 20, No. 2, 1397--1452 (2023; Zbl 1528.42001) Full Text: DOI
Fässler, Katrin; Orponen, Tuomas Riesz transform and vertical oscillation in the Heisenberg group. (English) Zbl 1527.43007 Anal. PDE 16, No. 2, 309-340 (2023). MSC: 43A80 42B20 28A78 31C05 32U30 35R03 44A15 PDFBibTeX XMLCite \textit{K. Fässler} and \textit{T. Orponen}, Anal. PDE 16, No. 2, 309--340 (2023; Zbl 1527.43007) Full Text: DOI arXiv
Orponen, Tuomas Plenty of big projections imply big pieces of Lipschitz graphs. (English) Zbl 1518.28007 Invent. Math. 226, No. 2, 653-709 (2021). Reviewer: Jeremy Tyson (Urbana) MSC: 28A78 28A75 PDFBibTeX XMLCite \textit{T. Orponen}, Invent. Math. 226, No. 2, 653--709 (2021; Zbl 1518.28007) Full Text: DOI arXiv
Fässler, Katrin; Orponen, Tuomas Singular integrals on regular curves in the Heisenberg group. (English. French summary) Zbl 1483.43009 J. Math. Pures Appl. (9) 153, 30-113 (2021). MSC: 43A80 42B20 28A75 35R03 PDFBibTeX XMLCite \textit{K. Fässler} and \textit{T. Orponen}, J. Math. Pures Appl. (9) 153, 30--113 (2021; Zbl 1483.43009) Full Text: DOI arXiv
Fässler, Katrin; Orponen, Tuomas Dorronsoro’s theorem in Heisenberg groups. (English) Zbl 1457.46046 Bull. Lond. Math. Soc. 52, No. 3, 472-488 (2020). MSC: 46E35 42B35 PDFBibTeX XMLCite \textit{K. Fässler} and \textit{T. Orponen}, Bull. Lond. Math. Soc. 52, No. 3, 472--488 (2020; Zbl 1457.46046) Full Text: DOI arXiv
Fässler, Katrin; Orponen, Tuomas; Rigot, Séverine Semmes surfaces and intrinsic Lipschitz graphs in the Heisenberg group. (English) Zbl 1446.28005 Trans. Am. Math. Soc. 373, No. 8, 5957-5996 (2020). Reviewer: Enrico Zoli (Faenza) MSC: 28A75 28A78 PDFBibTeX XMLCite \textit{K. Fässler} et al., Trans. Am. Math. Soc. 373, No. 8, 5957--5996 (2020; Zbl 1446.28005) Full Text: DOI arXiv Link
Chousionis, Vasileios; Fässler, Katrin; Orponen, Tuomas Boundedness of singular integrals on \(C^{1,{\alpha}}\) intrinsic graphs in the Heisenberg group. (English) Zbl 1427.42017 Adv. Math. 354, Article ID 106745, 45 p. (2019). Reviewer: Vladimir Mityushev (Kraków) MSC: 42B20 31C05 35R03 32U30 28A78 PDFBibTeX XMLCite \textit{V. Chousionis} et al., Adv. Math. 354, Article ID 106745, 45 p. (2019; Zbl 1427.42017) Full Text: DOI arXiv
Orponen, Tuomas Absolute continuity and \({\alpha}\)-numbers on the real line. (English) Zbl 1403.28003 Anal. PDE 12, No. 4, 969-996 (2019). MSC: 28A33 28A75 PDFBibTeX XMLCite \textit{T. Orponen}, Anal. PDE 12, No. 4, 969--996 (2019; Zbl 1403.28003) Full Text: DOI arXiv Link
Martikainen, Henri; Orponen, Tuomas Boundedness of the density normalised Jones’ square function does not imply 1-rectifiability. (English. French summary) Zbl 1381.28006 J. Math. Pures Appl. (9) 110, 71-92 (2018). Reviewer: Denis R. Bell (Jacksonville) MSC: 28A75 28A80 42A99 PDFBibTeX XMLCite \textit{H. Martikainen} and \textit{T. Orponen}, J. Math. Pures Appl. (9) 110, 71--92 (2018; Zbl 1381.28006) Full Text: DOI arXiv Link