January 10 – April 22, 2022
Organizers: Marianna Csörnyei, Tuomas Orponen, Xavier Tolsa, Tatiana Toro, Alexander Volberg
Description: The last years have seen significant progress in questions lying at the intersection of Geometric Measure Theory, Singular Integrals, and PDEs. The main purpose of this research trimester is to bring together mathematicians who have recently worked on these areas, and to foster research activity in this field. The program is divided into two thematic halves:
Focus on harmonic analysis (e.g. singular integrals, PDE, harmonic measure)
Focus on geometric measure theory (e.g. PDE constrained measures, Kakeya problems, Favard length)
Associated Events:
Winter School on Harmonic analysis and PDEs (January 24 - 28, 2022)
Workshop on Harmonic analysis, Singular Integrals and PDEs (January 31 - February 4, 2022)
Workshop on Geometric measure theory and Harmonic analysis (April 4 - 7, 2022)
© HIM
No. |
Author(s) |
Title |
Preprint |
Publication |
| 2022a01 | Cao, M.; Hidalgo-Palencia, P.; Martell, J. M. ; | Carleson measure estimates, corona decompositions, and perturbation of elliptic operators without connectivity | 2202.06363 | Math. Ann. (2023), https://doi.org/10.1007/s00208-023-02753-0 |
| 2022a02 | Chang, A.; Dąbrowski, D.; Orponen, T.; Villa, M. | Structure of sets with nearly maximal Favard length | 2203.01279 | to appear in Anal. PDE |
| 2022a03 | Orponen, T. | Additive properties of fractal sets on the parabola | 2205.02770 | Annales Fennici Mathematici, 48(1) (2023), 113–139, https://doi.org/10.54330/afm.125826 |
| 2022a04 | Orponen, T.; Shmerkin, P.; Wang, H. | Kaufman and Falconer estimates for radial projections and a continuum version of Beck's Theorem | 2209.00348 |
Geom. Funct. Anal. (2024), https://doi.org/10.1007/s00039-024-00660-3 |
| 2022a05 | Beltran, D.; Roos, J.; Seeger, A. | Endpoint sparse domination for classes of multiplier transformations | 2212.12437 | Math. Z. 305, 11 (2023), https://doi.org/10.1007/s00209-023-03345-z |
| 2022a06 | Mourgoglou, M.; Poggi, B.; Tolsa, X. | Solvability of the Poisson-Dirichlet problem with interior data in Lp′-Carleson spaces and its applications to the Lp-regularity problem | 2207.10554 | |
| 2022a07 | Chang, C.; Dosidis, G.; Kim, J. | Nikodym sets and maximal functions associated with spheres | 2210.08320 | |
| 2022a08 | Adamowicz, T.; Fässler, K. | Hardy spaces and quasiconformal maps in the Heisenberg group | 2204.10016 | Journal of Functional Analysis, 284(6) (2023), https://doi.org/10.1016/j.jfa.2022.109832 |
| 2022a09 | Auscher, P.; Egert, M. | A universal variational framework for parabolic equations and systems | 2211.17000 |
Calc. Var. 62 (2023), 249, https://doi.org/10.1007/s00526-023-02577-5 |
| 2022a10 | Cao, M.; Liu, H.; Si, Z.; Yabuta, K. | Limited range extrapolation with quantitative bounds and applications | 2206.12570 |
J. Fourier Anal. Appl. 30(7) (2024), https://doi.org/10.1007/s00041-023-10061-z |
| 2022a11 | Decio, S.; Malinnikova, E. | On a Bernstein inequality for eigenfunctions | 2208.10541 |
|
| 2022a12 | Di Plinio, F.; Fragkos, A. | The weak-type Carleson theorem via wave packet estimates | 2204.08051 |
|
| 2022a13 | Engelstein, M.; Jeznach, C.; Mayboroda, S. | Non-local distance functions and geometric regularity | 2208.07342 | |
| 2022a14 | Fässler, K.; Pinamonti, A.; Wald, P. | Kakeya maximal inequality in the Heisenberg group | 2212.01845 | Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) (2023), accepted paper |
| 2022a15 | Fleschler, I.; Tolsa, X.; Villa, M. | Faber-Krahn inequalities, the Alt-Caffarelli-Friedman formular, and Carleson's ℇ2 conjecture in higher dimensions | 2306.06187 |
|
| 2022a16 | Gallegos, J.M. | Size of the zero set of solutions of elliptic PDEs near the boundary of Lipschitz domains with small Lipschitz constant | 2201.12307 |
Calc. Var. 62, 113 (2023), https://doi.org/10.1007/s00526-022-02426-x |
| 2022a17 | Tapiola, T.; Tolsa, X. | Connectivity conditions and boundary Poincaré inequalities | 2205.11667 |
to appear in Anal. PDE |
| 2022a18 | Volberg, A. | Pisier type inequalities for K-convex spaces | 2208.04423 | |
| 2022a19 | Volberg, A. | Tail spaces estimates on Hamming cube and Bernstein-Markov inequality | 2208.00472 | Journal of Mathematical Analysis and Applications 529(2) (2024), https://doi.org/10.1016/j.jmaa.2023.127597 |
| 2022a20 | Volberg, A.; Zhang, H. | Noncommutative Bohnenblust-Hille inequalities | 2210.14468 | Math. Ann.(2023), https://doi.org/10.1007/s00208-023-02680-0 |
| 2022a21 | Yavicoli, A. | Thickness and a gap lemma in Rd | 2204.08428 |
International Mathematics Research Notices 19 (2023), 16453–16477, https://doi.org/10.1093/imrn/rnac319 |
| 2022a22 | Fleschler, I.; Tolsa, X.; Villa, M. | Carleson's ε2 conjecture in higher dimensions | 2310.12316 |
|
| 2022a23 | Auscher, P.; Morris, A.J.; Rosén, A. | Quadratic estimates for degenerate elliptic systems on manifolds with lower Ricci curvature bounds and boundary value problems |
Name |
Affiliation |
| Murat Akman | University of Essex |
| Giovanni Alberti | Università di Pisa |
| Pascal Auscher | Université Paris-Saclay |
| Engin Basakoglu | Bogaziçi University |
| David Beltran | University of Wisconsin-Madison |
| Dmitriy Bilyk | University of Minnesota |
| Chandan Biswas | Indian Institute of Science |
| Farid Bozorgnia | Tecnico Lisboa |
| Mingming Cao | ICMAT |
| Alan Chang | Princeton University |
| Damian Dabrowski | University of Jyväskylä |
| Guy David | Université de Paris Saclay |
| Jaume de Dios Pont | University of California Los Angeles |
| Stefano Decio | Norwegian University of Science and Technology |
| Giacomo Del Nin | University of Warwick |
| Francesco di Plinio | Università di Napoli “Federico II” |
| Polona Durcik | Chapman University |
| Moritz Egert | Université Paris-Saclay |
| Joseph Feneuil | Université Paris-Saclay |
| Ian Fleschler | Princecton University |
| Benjamin Foster | Stanford University |
| Morteza Fotouhi | Sharif University of Technology |
| Anastasios Fragkos | Washington University in St. Louis |
| Katrin Fässler | University of Jyväskylä |
| Josep M Gallegos | Universitat Autònoma de Barcelona |
| Max Goering | Max Planck Institute |
| Ignasi Guillén Mola | Universitat Autònoma de Barcelona (UAB) |
| Pablo Hidalgo Palencia | ICMAT |
| John Hoffman | University of Missouri |
| Matthew Hyde | University of Warwick |
| Cole Jeznach | University of Minnesota |
| Antoine Julia | Universite Paris Saclay |
| Dóminique Kemp | University of Wisconsin |
| Olga Maleva | University of Birmingham |
| Eugenia Malinnikova | Stanford University |
| Ilya Marchenko | University of Notre Dame |
| Jose Maria Martell | ICMAT |
| Svitlana Mayboroda | University of Minnesota |
| Andrea Merlo | Universitè Paris-Saclay |
| Andrew Morris | University of Birmingham |
| Mihalis Mourgoglou | Universidad del País Vasco |
| Georgios Ntosidis | Charles University |
| Kaj Nyström | Uppsala University |
| Andrea Olivo | International Centre for Theoretical Physics (ICTP) |
| Tuomas Orponen | University of Jyväskylä |
| Polina Perstneva | Université Paris-Saclay |
| Bruno Poggi Cevallos | Universitat Autònoma de Barcelona |
| Carmelo Puliatti | Universidad del País Vasco |
| Carlos Pérez | BCAM (Basque Center for Applied Mathematics) |
| Keith Rogers | Instituto de Ciencias Matematicas |
| Joris Roos | University of Massachusetts Lowell |
| Helge Jørgen Samuelsen | Norwegian University of Science and Technology |
| Andreas Seeger | University of Wisconsin-Madison |
| Banhirup Sengupta | Universitat Autònoma de Barcelona |
| Pablo Shmerkin | University of British Columbia |
| Yannick Sire | Johns Hopkins University |
| Anna Skorobogatova | Princeton University |
| Betsy Stovall | University of Wisconsin-Madison |
| Olli Tapiola | Universitat Autònoma de Barcelona |
| Sergey Tikhonov | Centre de Recerca Matemàtica |
| Xavier Tolsa | Universitat Autònoma de Barcelona |
| Michele Villa | University of Oulu |
| Pietro Wald | University of Trento |
| Alexia Yavicoli | The University of British Columbia |
| Zihui Zhao | University of Chicago |
© HIM