A surprising formula for Sobolev norms H Brezis, J Van Schaftingen, PL Yung Proceedings of the National Academy of Sciences 118 (8), e2025254118, 2021 | 53 | 2021 |
Calculus on the Sierpinski gasket I: polynomials, exponentials and power series J Needleman, RS Strichartz, A Teplyaev, PL Yung Journal of Functional Analysis 215 (2), 290-340, 2004 | 38 | 2004 |
Going to Lorentz when fractional Sobolev, Gagliardo and Nirenberg estimates fail H Brezis, J Van Schaftingen, PL Yung Calculus of Variations and Partial Differential Equations 60 (4), 129, 2021 | 29 | 2021 |
A short proof of ℓ2 decoupling for the moment curve S Guo, ZK Li, PL Yung, P Zorin-Kranich American Journal of Mathematics 143 (6), 1983-1998, 2021 | 24 | 2021 |
Doubling properties of self-similar measures PL Yung Indiana University Mathematics Journal 56, no. 2, 965-990, 2007 | 24 | 2007 |
Sharp variation-norm estimates for oscillatory integrals related to Carleson's theorem S Guo, J Roos, PL Yung Analysis & PDE 13 (no. 5), 1457-1500, 2020 | 23 | 2020 |
Sobolev spaces revisited H Brezis, A Seeger, J Van Schaftingen, PL Yung Rendiconti Lincei 33 (2), 413-437, 2022 | 22 | 2022 |
Polynomial Carleson operators along monomial curves in the plane S Guo, LB Pierce, J Roos, PL Yung The Journal of Geometric Analysis 27 (4), 2977-3012, 2017 | 21 | 2017 |
Reversing a philosophy: from counting to square functions and decoupling PT Gressman, S Guo, LB Pierce, J Roos, PL Yung The Journal of Geometric Analysis 31, 7075-7095, 2021 | 20 | 2021 |
A new formula for the Lp norm Q Gu, PL Yung Journal of Functional Analysis 281 (4), 109075, 2021 | 18 | 2021 |
A polynomial Carleson operator along the paraboloid LB Pierce, PL Yung Revista Matemática Iberoamericana 35 (2), 339-422, 2019 | 18* | 2019 |
A sharp subelliptic Sobolev embedding theorem with weights PL Yung Bulletin of the London Mathematical Society 47 (3), 396-406, 2015 | 18 | 2015 |
Sobolev inequalities for forms on CR manifolds of finite type PL Yung Mathematical Research Letters 17, no. 1, 177–196, 2009 | 18 | 2009 |
A maximal function for families of Hilbert transforms along homogeneous curves S Guo, J Roos, A Seeger, PL Yung Mathematische Annalen 377 (1-2), 69-114, 2020 | 17 | 2020 |
Families of functionals representing Sobolev norms H Brezis, A Seeger, J Van Schaftingen, PL Yung arXiv preprint arXiv:2109.02930, 2021 | 14 | 2021 |
A bilinear proof of decoupling for the cubic moment curve S Guo, Z Li, PL Yung Transactions of the American Mathematical Society 374 (8), 5405-5432, 2021 | 14 | 2021 |
Bourgain–Brezis–Mironescu convergence via Triebel-Lizorkin spaces D Brazke, A Schikorra, PL Yung Calculus of Variations and Partial Differential Equations 62 (2), 41, 2023 | 13 | 2023 |
Solving the Kohn Laplacian on asymptotically flat CR manifolds of dimension 3 CY Hsiao, PL Yung Advances in Mathematics 281, 734-822, 2015 | 12 | 2015 |
Spaces of Besov-Sobolev type and a problem on nonlinear approximation Ó Domínguez, A Seeger, B Street, J Van Schaftingen, PL Yung Journal of Functional Analysis 284 (4), 109775, 2023 | 11 | 2023 |
Decoupling for two quadratic forms in three variables: a complete characterization S Guo, C Oh, J Roos, PL Yung, PZ Kranich Revista matemática iberoamericana 39 (1), 283-306, 2023 | 10 | 2023 |