List of publications

Preprints

1. M. Caković, E. Pasqualetto and D. Lučić,Tensor products of measurable Banach bundles. Preprint (2025), 30 pp. arXiv

2. J. Núñez-Zimbrón, E. Pasqualetto and E. Soultanis, Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian. Preprint (2025), 20 pp. arXiv

3. A. Kubin, D. A. La Manna and E. Pasqualetto, A variational approach to the volume-preserving anisotropic mean curvature flow in 2D. Preprint (2025), 43 pp. arXiv

4. E. Pasqualetto and G. E. Sodini, Functions of bounded variation and Lipschitz algebras in metric measure spaces. Preprint (2025), 25 pp. arXiv

5. E. Pasqualetto and T. Rajala, A note on Laplacian bounds, deformation properties and isoperimetric sets in metric measure spaces. Preprint (2025), 20 pp. arXiv

6. E. Pasqualetto and J. Taipalus, Derivations and Sobolev functions on extended metric-measure spaces. Preprint (2025), 43 pp. arXiv

7. E. Pasqualetto, Smooth approximations preserving asymptotic Lipschitz bounds . Preprint (2024), 6 pp. arXiv

Accepted papers

8. E. Pasqualetto and T. Schultz, Ultralimits of pointed metric measure spaces. To appear in Kyoto J. Math., 65 pp. arXiv

9. G. Antonelli, E. Pasqualetto, M. Pozzetta, and D. Semola, Sharp isoperimetric comparison on non collapsed spaces with lower Ricci bounds. To appear in Ann. Sci. Ec. Norm. Super., 42 pp. arXiv

10. N. Gigli, D. Lučić, and E. Pasqualetto, Duals and pullbacks of normed modules. To appear in Isr. J. Math., 35 pp. arXiv

Published papers

11. E. Caputo, N. Gigli, and E. Pasqualetto, Parallel transport on non-collapsed RCD(K,N) spaces. J. Reine Angew. Math., (2024) link

12. S. Di Marino, D. Lučić, and E. Pasqualetto, Representation theorems for normed modules. Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat., 119, 19 (2025) link

13. D. Lučić and E. Pasqualetto, An axiomatic theory of normed modules via Riesz spaces. Q. J. Math., (2024), haae053 link

14. L. Ambrosio, T. Ikonen, D. Lučić, and E. Pasqualetto, Metric Sobolev spaces I: equivalence of definitions. Milan J. Math., (2024). https://doi.org/10.1007/s00032-024-00407-7 link

15. E. Pasqualetto and T. Rajala, Vector calculus on weighted reflexive Banach spaces. Math. Z., 308, 48 (2024). https://doi.org/10.1007/s00209-024-03605-6 link

16. G. Antonelli, C. Brena, and E. Pasqualetto, The Rank-One Theorem on RCD spaces. Anal. PDE, Vol. 17 (2024), No. 8, pp. 2797-2840 link

17. C. Brena, E. Pasqualetto, and A. Pinamonti, Sobolev and BV spaces on RCD spaces via the short-time behaviour of the heat kernel. Commun. Contemp. Math., (2024). https://doi.org/10.1142/S0219199725500026 link

18. E. Pasqualetto, Limits and colimits in the category of Banach $L^0$-modules. Rend. Semin. Mat. Univ. Padova, (2024). link

19. E. Caputo, M. Lučić, E. Pasqualetto, and I. Vojnović, On the integration of L0-Banach L0-modules and its applications to vector calculus on RCD spaces.  Rev. Mat. Complut., (2024). https://doi.org/10.1007/s13163-024-00491-8 link

20. D. Lučić and E. Pasqualetto, Yet another proof of the density in energy of Lipschitz functions. manuscripta math., (2024). https://doi.org/10.1007/s00229-024-01562-2 link

21. T. Ikonen, D. Lučić, and E. Pasqualetto, Pullback of a quasiconformal map between arbitrary metric measure spaces. Illinois J. Math., 68 (2024), no. 1, pp. 137-165 link

22. F. Essebei and E. Pasqualetto, Variational problems concerning length distances in metric spaces. J. Math. Anal. Appl., 538 (2024), no. 1, pp. 128337 link

23. G. Antonelli, C. Brena, and E. Pasqualetto, Subgraphs of BV functions on RCD spaces. Ann. Glob. Anal. Geom., 65, 14 (2024) link

24. E. Pasqualetto, Projective and injective tensor products of Banach $L^0$-modules. Ann. Funct. Anal., 15, 1 (2024), 55 pp. link

25. M. Lučić, E. Pasqualetto, and I. Vojnović, On the reflexivity properties of Banach bundles and Banach modules. Banach J. Math. Anal., 10.1007/s43037-023-00315-9, 18, 7 (2024), 26 pp. link

26. C. Brena, F. Nobili, and E. Pasqualetto, Maps of bounded variation from PI spaces to metric spaces. Ann. Sc. Norm. Super. Pisa Cl. Sci., 10.2422/2036-2145.202307_003, (2023), 33 pp. link

27. G. Antonelli, E. Pasqualetto, M. Pozzetta, and I. Y. Violo, Topological regularity of isoperimetric sets in PI spaces having a deformation property. Proc. R. Soc. Edinb. A: Math., (2023), 10.1017/prm.2023.105, pp. 1-23 link

28. G. Antonelli, E. Pasqualetto, M. Pozzetta, and D. Semola, Asymptotic isoperimetry on non collapsed spaces with lower Ricci bounds. Math. Ann., https://doi.org/10.1007/s00208-023-02674-y, (2023), 54 pp. link

29. D. Lučić and E. Pasqualetto, The metric-valued Lebesgue differentiation theorem in measure spaces and its applications. Adv. Oper. Theory, 8 (2023), https://doi.org/10.1007/s43036-023-00258-w, 51 pp. link

30. F. Essebei and E. Pasqualetto, Variational problems concerning sub-Finsler metrics in Carnot groups. ESAIM Control Optim. Calc. Var., 29 (2023), https://doi.org/10.1051/cocv/2023006, 31 pp. link

31. E. Pasqualetto, A short proof of the existence of master test plans. Arch. Math., doi.org/10.1007/s00013-022-01796-0, (2022), 8 pp. link

32. N. Gigli and E. Pasqualetto, Equivalence of two different notions of tangent bundle on rectifiable metric measure spaces. Commun. Anal. Geom., 30 (2022), no. 1, pp. 1-51 link

33. D. Lučić and E. Pasqualetto, Gamma-convergence of Cheeger energies with respect to increasing distances. J. Math. Anal. Appl., 515 (2022), no. 1, pp. 126415 link

34. T. Moisala and E. Pasqualetto, Direct limits of infinite-dimensional Carnot groups. Math. Scand., 128 (2022), no. 2, 160-200 link

35. E. Brué, E. Pasqualetto, and D. Semola, Constancy of the dimension in codimension one and locality of the unit normal on RCD(K,N) spaces. Ann. Sc. Norm. Super. Pisa Cl. Sci., Vol. XXIV (2023), no. 3, pp. 1765-1816 link

36. F. Nobili, E. Pasqualetto, and T. Schultz, On master test plans for the space of BV functions. Adv. Calc. Var., doi:10.1515/acv-2021-0078, (2022), 32 pp. link

37. E. Le Donne, D. Lučić, and E. Pasqualetto, Universal infinitesimal Hilbertianity of sub-Riemannian manifolds. Potential Anal., doi:10.1007/s11118-021-09971-8, (2022), 26 pp. link

38. D. Lučić, E. Pasqualetto, and T. Rajala, Non-Hilbertian tangents to Hilbertian spaces. Proc. R. Soc. Edinb. A: Math., 153 (2023), pp. 811-832 link

39. G. Antonelli, E. Pasqualetto, and M. Pozzetta, Isoperimetric sets in spaces with lower bounds on the Ricci curvature. Nonlinear Anal. Theory Methods Appl., 220 (2022), pp. 112839 link

40. E. Pasqualetto, Testing the Sobolev property with a single test plan. Stud. Math., 264 (2020), no. 2, pp. 149-179 link

41. E. Brué, E. Pasqualetto, and D. Semola, Rectifiability of the reduced boundary for sets of finite perimeter over RCD(K,N) spaces. J. Eur. Math. Soc., 25 (2023), no. 2, pp. 413-465  link

42. P. Bonicatto, G. Del Nin, and E. Pasqualetto, Decomposition of integral metric currents. J. Funct. Anal., 282 (2022), no. 7, pp. 109378 link

43. T. Ikonen, E. Pasqualetto, and E. Soultanis, Abstract and concrete tangent modules on Lipschitz differentiability spaces. Proc. Am. Math. Soc., 150 (2022), no. 01, pp. 327-343 link

44. S. Di Marino, N. Gigli, E. Pasqualetto, and E. Soultanis, Infinitesimal Hilbertianity of locally CAT(k)-spaces. J. Geom. Anal., 31 (2021), pp. 7621-7685 link

45. N. Gigli and E. Pasqualetto, Behaviour of the reference measure on RCD spaces under charts. Commun. Anal. Geom., 29 (2021), no. 6, pp. 1391-1414 link

46. E. Brué, E. Pasqualetto, and D. Semola, Rectifiability of RCD(K,N) spaces via delta-splitting maps. Ann. Fenn. Math., 46 (2021), no. 1, pp. 465-482 link

47. C. Debin, N. Gigli, and E. Pasqualetto, Quasi-continuous vector fields on RCD spaces. Potential Anal., 54 (2021), no. 1, pp. 183-211 link

48. D. Lučić, E. Pasqualetto, and T. Rajala, Characterisation of upper gradients on the weighted Euclidean space and applications. Ann. Mat. Pura Appl., 200 (2021), pp. 2473-2513 link

49. N. Gigli and E. Pasqualetto, Differential structure associated to axiomatic Sobolev spaces. Expo. Math., 38 (2020), no. 4, pp. 480-495 link

50. S. Di Marino, D. Lučić, and E. Pasqualetto, A short proof of the infinitesimal Hilbertianity of the weighted Euclidean space. C. R. Math., 358 (2020), no. 7, pp. 817-825 link

51. D. Lučić, E. Pasqualetto, and T. Rajala, Sharp estimate on the inner distance in planar domains. Ark. Mat., 58 (2020), no. 1, pp. 133-159 link

52. N. Gigli, E. Pasqualetto, and E. Soultanis, Differential of metric valued Sobolev maps, J. Funct. Anal., 278 (2020), no. 6, pp. 108403 link

53. P. Bonicatto, E. Pasqualetto, and T. Rajala, Indecomposable sets of finite perimeter in doubling metric measure spaces. Calc. Var. Partial Differ. Equ., 59 (2020), no. 2, pp. 1-39 link

54. D. Lučić and E. Pasqualetto, Infinitesimal Hilbertianity of weighted Riemannian manifolds. Canad. Math. Bull., 63 (2020), no. 1, pp. 118-140 link

55. N. Gigli and E. Pasqualetto, On the notion of parallel transport on RCD spaces. Rev. Mat. Iberoam., 36 (2019), no. 2, pp. 571-609 link

56. D. Lučić and E. Pasqualetto, The Serre-Swan theorem for normed modules. Rend. Circ. Mat. Palermo 2, 68 (2019), no. 2, pp. 385-404 link

Unpublished notes

57. E. Pasqualetto, Direct and inverse limits of normed modules. Preprint (2019), 19 pp. arXiv