Xavier Tolsa

2.6k total citations
70 papers, 1.3k citations indexed

About

Xavier Tolsa is a scholar working on Applied Mathematics, Mathematical Physics and Computational Theory and Mathematics. According to data from OpenAlex, Xavier Tolsa has authored 70 papers receiving a total of 1.3k indexed citations (citations by other indexed papers that have themselves been cited), including 61 papers in Applied Mathematics, 40 papers in Mathematical Physics and 18 papers in Computational Theory and Mathematics. Recurrent topics in Xavier Tolsa's work include Advanced Harmonic Analysis Research (40 papers), Mathematical Analysis and Transform Methods (20 papers) and Advanced Mathematical Modeling in Engineering (17 papers). Xavier Tolsa is often cited by papers focused on Advanced Harmonic Analysis Research (40 papers), Mathematical Analysis and Transform Methods (20 papers) and Advanced Mathematical Modeling in Engineering (17 papers). Xavier Tolsa collaborates with scholars based in Spain, United States and United Kingdom. Xavier Tolsa's co-authors include Jonas Azzam, Alexander Volberg, Fëdor Nazarov, Mihalis Mourgoglou, Joan Mateu, José María Martell, Joan Verdera, Steve Hofmann, John B. Garnett and Svitlana Mayboroda and has published in prestigious journals such as Annals of Mathematics, Communications on Pure and Applied Mathematics and Transactions of the American Mathematical Society.

In The Last Decade

Xavier Tolsa

62 papers receiving 1.2k citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Xavier Tolsa Spain	19	1.2k	740	228	226	89	70	1.3k
Sergei Treil United States	17	1.1k 0.9×	654 0.9×	128 0.6×	87 0.4×	84 0.9×	53	1.2k
Yoshihiro Mizuta Japan	20	1.4k 1.2×	664 0.9×	367 1.6×	122 0.5×	103 1.2×	171	1.5k
Luboš Pick Czechia	21	1.4k 1.2×	702 0.9×	298 1.3×	58 0.3×	122 1.4×	78	1.5k
Giancarlo Mauceri Italy	17	716 0.6×	529 0.7×	98 0.4×	66 0.3×	20 0.2×	47	816
Detlef Müller Germany	16	823 0.7×	597 0.8×	113 0.5×	68 0.3×	23 0.3×	68	913
Adam Sikora Australia	17	795 0.6×	673 0.9×	181 0.8×	59 0.3×	14 0.2×	50	921
Javier Duoandikoetxea Spain	14	974 0.8×	499 0.7×	125 0.5×	23 0.1×	188 2.1×	43	1.1k
Roberto Macías Argentina	12	759 0.6×	443 0.6×	69 0.3×	59 0.3×	36 0.4×	28	803
Takeaki Yamazaki Japan	14	667 0.5×	152 0.2×	371 1.6×	140 0.6×	27 0.3×	57	726
Matts Essén Sweden	13	559 0.5×	288 0.4×	89 0.4×	176 0.8×	35 0.4×	50	634

Countries citing papers authored by Xavier Tolsa

Since Specialization

Citations

This map shows the geographic impact of Xavier Tolsa's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Xavier Tolsa with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Xavier Tolsa more than expected).

Fields of papers citing papers by Xavier Tolsa

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Xavier Tolsa. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Xavier Tolsa. The network helps show where Xavier Tolsa may publish in the future.

Co-authorship network of co-authors of Xavier Tolsa

This figure shows the co-authorship network connecting the top 25 collaborators of Xavier Tolsa. A scholar is included among the top collaborators of Xavier Tolsa based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Xavier Tolsa. Xavier Tolsa is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Mourgoglou, Mihalis, et al.. (2025). Solvability of the Poisson–Dirichlet problem with interior data in $L^{p'}$-Carleson spaces and its applications to the $L^{p}$-regularity problem. Journal of the European Mathematical Society.

Tolsa, Xavier, et al.. (2024). The $$A_\infty $$ Condition, $$\varepsilon $$-Approximators, and Varopoulos Extensions in Uniform Domains. Journal of Geometric Analysis. 34(7). 218–218. 1 indexed citations

Mourgoglou, Mihalis & Xavier Tolsa. (2024). The regularity problem for the Laplace equation in rough domains. Duke Mathematical Journal. 173(9). 4 indexed citations

Tolsa, Xavier & Tatiana Toro. (2024). The two-phase problem for harmonic measure in VMO and the chord-arc condition. Dipòsit Digital de Documents de la UAB (Universitat Autònoma de Barcelona). 11(38). 1294–1315.

Mourgoglou, Mihalis, et al.. (2023). L2-Boundedness of Gradients of Single Layer Potentials for Elliptic Operators with Coefficients of Dini Mean Oscillation-Type. Archive for Rational Mechanics and Analysis. 247(3). 1 indexed citations

Tolsa, Xavier, et al.. (2021). A proof of Carleson's 𝜀2-conjecture. Jyväskylä University Digital Archive (University of Jyväskylä). 1 indexed citations

Azzam, Jonas, Xavier Tolsa, & Tatiana Toro. (2020). Characterization of rectifiable measures in terms of 𝛼-numbers. Transactions of the American Mathematical Society. 373(11). 7991–8037. 3 indexed citations

Tolsa, Xavier, et al.. (2020). Analytic capacity and projections. Journal of the European Mathematical Society. 22(12). 4121–4159. 3 indexed citations

Tolsa, Xavier, et al.. (2019). The two-phase problem for harmonic measure in VMO via jump formulas for the Riesz transform. arXiv (Cornell University). 1 indexed citations

10.

Tolsa, Xavier, et al.. (2017). L-p estimates for the variation for singular integrals on uniformly rectifiable sets. LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas). 5 indexed citations

11.

Tolsa, Xavier, et al.. (2015). A T(P) theorem for Sobolev spaces on domains. Journal of Functional Analysis. 268(10). 2946–2989. 16 indexed citations

12.

Nazarov, Fëdor, Xavier Tolsa, & Alexander Volberg. (2014). The Riesz transform, rectifiability, and removability for Lipschitz harmonic functions. Publicacions Matemàtiques. 58(2). 517–532. 12 indexed citations

13.

Mateu, Jaume, et al.. (2012). Calderón–Zygmund kernels and rectifiability in the plane. Advances in Mathematics. 231(1). 535–568. 5 indexed citations

14.

Tolsa, Xavier. (2012). Regularity ofC1and Lipschitz domains in terms of the Beurling transform. Journal de Mathématiques Pures et Appliquées. 100(2). 137–165. 10 indexed citations

15.

Tolsa, Xavier, et al.. (2011). Hausdorff measure of quasicircles. Advances in Mathematics. 229(2). 1313–1328. 3 indexed citations

16.

Tolsa, Xavier, et al.. (2010). Characterization and semiadditivity of the 𝒞¹-harmonic capacity. Transactions of the American Mathematical Society. 362(7). 3641–3675. 9 indexed citations

17.

Tolsa, Xavier. (2007). Principal values for Riesz transforms and rectifiability. Journal of Functional Analysis. 254(7). 1811–1863. 23 indexed citations

18.

Tolsa, Xavier & Joan Verdera. (2006). May the Cauchy transform of a non-trivial finite measure vanish on the support of the measure?. Annales Academiae Scientiarum Fennicae Mathematica. 31(2). 479–494. 4 indexed citations

19.

Tolsa, Xavier. (2001). Littlewood–Paley Theory and the T(1) Theorem with Non-doubling Measures. Advances in Mathematics. 164(1). 57–116. 90 indexed citations

20.

Tolsa, Xavier. (2000). Principal values for the Cauchy integral and rectifiability. Proceedings of the American Mathematical Society. 128(7). 2111–2119. 27 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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