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Ryan Gibara
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BMO on shapes and sharp constants
G Dafni, R Gibara
Advances in harmonic analysis and partial differential equations, Contemp …, 2020
16*2020
Solving a Dirichlet problem on unbounded domains via a conformal transformation
R Gibara, R Korte, N Shanmugalingam
Mathematische Annalen, 1-45, 2023
112023
Mean oscillation bounds on rearrangements
A Burchard, G Dafni, R Gibara
Transactions of the American Mathematical Society 375 (6), 4429-4444, 2022
82022
Trace and extension theorems for homogeneous Sobolev and Besov spaces for unbounded uniform domains in metric measure spaces
R Gibara, N Shanmugalingam
Proceedings of the Steklov Institute of Mathematics 323 (1), 101-119, 2023
72023
Vanishing mean oscillation and continuity of rearrangements
A Burchard, G Dafni, R Gibara
Advances in Mathematics 437, 109379, 2024
32024
Geometric Maximal Operators and BMO on Product Bases
G Dafni, R Gibara, H Yue
The Journal of Geometric Analysis, 1-26, 2020
32020
BMO and the John-Nirenberg Inequality on Measure Spaces
G Dafni, R Gibara, A Lavigne
Analysis and Geometry in Metric Spaces 8 (1), 335-362, 2020
32020
Traces of Newton-Sobolev functions on the visible boundary of domains in doubling metric measure spaces supporting a -Poincar\'e inequality
S Eriksson-Bique, R Gibara, R Korte, N Shanmugalingam
arXiv preprint arXiv:2308.09800, 2023
22023
Conformal transformation of uniform domains under weights that depend on distance to the boundary
R Gibara, N Shanmugalingam
Analysis and Geometry in Metric Spaces 10 (1), 297-312, 2022
22022
A note on decreasing rearrangement and mean oscillation on measure spaces
A Burchard, G Dafni, R Gibara
Proceedings of the American Mathematical Society 149 (10), 4341-4354, 2021
22021
Accessible parts of the boundary for domains in metric measure spaces
R Gibara, R Korte
arXiv preprint arXiv:2103.14775, 2021
22021
Fractional maximal functions and mean oscillation on bounded doubling metric measure spaces
R Gibara, J Kline
Journal of Functional Analysis 285 (10), 110126, 2023
12023
New bounds and continuity for rearrangements on BMO and VMO
A Burchard, G Dafni, R Gibara
preprint, 2020
12020
Potential envelope theory and the local energy theorem
R Gibara, RL Hall
Journal of Mathematical Physics 60 (6), 062103, 2019
12019
On the Dirichlet-to-Neumann Map for the -Laplacian on a Metric Measure Space
R Gibara, N Shanmugalingam
arXiv preprint arXiv:2403.06042, 2024
2024
Sharp Hausdorff content estimates for accessible boundaries of domains in metric measure spaces of controlled geometry
S Eriksson-Bique, R Gibara, R Korte, N Shanmugalingam
arXiv preprint arXiv:2311.11960, 2023
2023
On the vanishing of Green's function, desingularization and Carleman's method
R Gibara, D Kinzebulatov
arXiv preprint arXiv:2202.10528, 2022
2022
Geometric Inequalities and Bounded Mean Oscillation
R Gibara
Concordia University, 2020
2020
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