Publications

(with Almut Burchard & Galia Dafni) Vanishing mean oscillation and continuity of rearrangements. Advances in Mathematics, 437: 109379, 2024.

(with Josh Kline) Fractional maximal functions and mean oscillation on bounded doubling metric measure spaces. Journal of Functional Analysis, 285(10): 110126, 2023.

(with Riikka Korte & Nageswari Shanmugalingam) Solving a Dirichlet problem on unbounded domains via a conformal transformation. To appear in Mathematische Annalen.  

(with Nageswari Shanmugalingam) Trace and extension theorems for homogeneous Sobolev and Besov spaces for unbounded uniform domains in metric measure spaces. Theory of Functions of Several Real Variables and Its Applications: Special issue dedicated to Oleg Vladimirovich Besov on the occasion of his 90th birthday. Issue Editors: B. S. Kashin and A. I. Tyulenev. (In Russian) Trudy Matematicheskogo Instituta imeni V.A. Steklova, 323: 107–126, 2023; (In English) Proceedings of the Steklov Institute of Mathematics, 323: 101-119, 2023.    

(with Damir Kinzebulatov) On the vanishing of Green's function, desingularization and Carleman's method. Algebra i Analiz (St. Petersburg Mathematical Journal), 35(3): 17-37, 2023.

(with Nageswari Shanmugalingam) Conformal transformation of uniform domains under weights that depend on distance to the boundary. Analysis and Geometry in Metric Spaces, 10(1): 297-312, 2022.

(with Riikka Korte) Accessible parts of the boundary for domains in metric measure spaces. Annales Fennici Mathematici (formerly Annales Academiæ Scientiarum Fennicæ), 47(2): 695-706, 2022.

(with Almut Burchard & Galia Dafni) Mean oscillation bounds on rearrangements. Transactions of the American Mathematical Society, 375(6): 4429-4444, 2022.

(with Almut Burchard & Galia Dafni) A note on decreasing rearrangement and mean oscillation on measure spaces. Proceedings of the American Mathematical Society, 149(10): 4341-4354, 2021.

(with Galia Dafni & Hong Yue) Geometric maximal operators and BMO on product bases. Journal of Geometric Analysis, 31: 5740-5765, 2021.

(with Galia Dafni & Andrew Lavigne) BMO and the John-Nirenberg inequality on measure spaces. Analysis and Geometry in Metric Spaces, 8(1): 335-362, 2020.

(with Galia Dafni) BMO on shapes and sharp constants. Advances in Harmonic Analysis and Partial Differential Equations, Contemporary Mathematics, Volume 748, Amer. Math. Soc., Providence, RI, pp. 1-33, 2020.

(with Richard L. Hall) Potential envelope theory and the local energy theorem. Journal of Mathematical Physics, 60, 062103, 2019.

(with Sylvester Eriksson-Bique, Riikka Korte, & Nageswari Shanmugalingam) Traces of Newton-Sobolev functions on the visible boundary of domains in doubling metric measure spaces supporting a p-Poincaré inequality.

(with Sylvester Eriksson-Bique, Riikka Korte, & Nageswari Shanmugalingam) Sharp Hausdorff content estimates for accessible boundaries of domains in metric measure spaces of controlled geometry.

(with Nageswari Shanmugalingam) On the Dirichlet-to-Neumann Map for the p-Laplacian on a Metric Measure Space.