Personal profile
Education/Academic qualification
Ph. D., Doctor en matemàtiques, Universitat Autònoma de Barcelona (UAB)
Award Date: 17 Jun 1998
Ph. D., Doctor Enginyer Industrial, Universitat Politècnica de Catalunya (UPC)
Award Date: 15 Mar 1995
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Collaborations and top research areas from the last five years
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Geometric measure theory, harmonic analysis, and PDEs
Tolsa Domenech, X. (Principal Investigator), Dabrowski, D. (Collaborator), Guillen Mola, I. (Collaborator), Hernandez Garcia, J. (Collaborator), Jeznach, C. (Collaborator), Lloret Sanchez, L. (Collaborator), Martin Pedret, J. (Investigator), Prat Baiget, L. (Investigator) & Prats Soler, M. (Investigator)
1/09/25 → 31/08/29
Project: Research Projects and Other Grants
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GAPT: Geometric Analysis and Potential Theory
Tolsa Domenech, X. (Principal Investigator), Tapiola ., O. M. N. (Investigator), Gallegos Saliner, J. M. (Scholar), Ferrari, G. (Scholar), Ibars Verdaguer, P. (Others), Poggi Cevallos, B. G. (Investigator), Villa , M. (Investigator), Fleschler , I. M. (Investigator), Cai , Y. (Investigator) & Lloret Sanchez, L. (Predoctoral)
1/06/21 → 31/05/26
Project: International research project
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BP-HM-UC-AMC: Boundary Phenomena: Harmonic Measure, Unique Continuation and Area Minimizing Currents
Tolsa Domenech, X. (Principal Investigator) & Fleschler , I. M. (Beneficiary)
1/09/26 → 31/08/28
Project: International research project
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INTEGRALES SINGULARES, TEORIA GEOMETRICA DE LA MEDIDA Y EDP'S
Tolsa Domenech, X. (Principal Investigator), Dabrowski ., D. M. (Collaborator), Gallegos Saliner, J. M. (Collaborator), Guillen Mola, I. (Collaborator), Molero Casanova, A. (Collaborator), Prats Soler, M. (Collaborator), Sakellaris , G. (Collaborator), Martin Pedret, J. (Investigator), Prat Baiget, L. (Investigator), Hernandez Garcia, J. (Collaborator) & Ville Oikari, T. (Collaborator)
1/09/21 → 31/08/25
Project: Research Projects and Other Grants
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Análisis armónico, teoría geométrica de la medida y aplicaciones
Tolsa Domenech, X. (Principal Investigator), Azzam ., J. A. (Collaborator), Chunaev ., P. (Collaborator), Dabrowski, D. M. (Collaborator), Ortiz Vargas, W. A. (Collaborator), Puliatti, C. (Collaborator), Martin Pedret, J. (Investigator), Prat Baiget, L. (Investigator) & Molero Casanova, A. (Collaborator)
Spanish Ministry of Economy and Competitiveness (MINECO), European Regional Development Fund (FEDER)
30/12/16 → 29/12/20
Project: Research Projects and Other Grants
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A Counterexample Regarding a Two-phase Problem for Harmonic Measure in VMO
Tolsa Domènech, X., 3 May 2025, In: Potential Analysis. 63, p. 1499-1515 17 p.Research output: Contribution to journal › Article › Research › peer-review
Open Access -
Carleson's ε2 conjecture in higher dimensions
Fleschler, I., Tolsa Domènech, X. & Villa, M., 2025, In: Inventiones Mathematicae. 241, p. 207-307 101 p.Research output: Contribution to journal › Article › Research › peer-review
Open Access -
Carleson's ε2 ε ² Conjecture in Higher Dimensions and Faber-Krahn Inequalities
Tolsa Domènech, X., 2025, (Accepted in press) Recent Developments in Fractals and Related Fields. 2025 ed. Switzerland:, p. 373-392 20 p.Research output: Chapter in Book › Chapter › Research › peer-review
Open Access -
Extrapolation of solvability of the regularity and the Poisson regularity problems in rough domains
Gallegos, J. M., Mourgoglou, M. & Tolsa Domènech, X., 1 Jan 2025, In: Journal of Functional Analysis. 288, 1, 61 p., 110672.Research output: Contribution to journal › Article › Research › peer-review
Open Access2 Link opens in a new tab Citations (Scopus) -
Solvability of the Poisson-Dirichlet problem with interior data in Lp' - Carleson spaces and its applications to the Lp' -regularity problem
Mourgoglou, M., Poggi, B. & Tolsa Domènech, X., 2025, (Accepted in press) In: Journal of the European Mathematical Society.Research output: Contribution to journal › Article › Research › peer-review
Open Access
Thesis
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Curvatura de mesures, integral singular de Cauchy i capacitat analítica
Tolsa Domènech, X. (Author), Melnikov Fishkina, M. (Director), 22 May 1998Student thesis: Doctoral thesis
Organisations
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Anàlisi real i complexa, i equacions en derivades parcials
Organisational unit: Research Group