Academy Research Fellow, University of Jyväskylä

Email: enrico.e.pasqualetto AT jyu.fi

Home-page: https://sites.google.com/view/enricopasqualetto/

orcid id: 0000-0002-7532-5577

Available papers (55):

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• E. Pasqualetto - J. Taipalus (preprint)
  Derivations and Sobolev functions on extended metric-measure spaces (2025)
• E. Pasqualetto - T. Rajala (preprint)
  A note on Laplacian bounds, deformation properties and isoperimetric sets in metric measure spaces (2025)
• E. Pasqualetto - G. E. Sodini (preprint)
  Functions of bounded variation and Lipschitz algebras in metric measure spaces (2025)
• G. Antonelli - E. Pasqualetto - M. Pozzetta - D. Semola (Annales Scientifiques de l'École Normale Supérieure)
  Sharp isoperimetric comparison on non-collapsed spaces with lower Ricci bounds (2025)
• L. Ambrosio - T. Ikonen - D. Lučić - E. Pasqualetto (preprint)
  Metric Sobolev spaces I: equivalence of definitions (2024)
• E. Pasqualetto (preprint)
  Smooth approximations preserving asymptotic Lipschitz bounds (2024)
• G. Antonelli - E. Pasqualetto - M. Pozzetta - D. Semola (Mathematische Annalen)
  Asymptotic isoperimetry on non collapsed spaces with lower Ricci bounds (2024)
• F. Essebei - E. Pasqualetto (preprint)
  Variational problems concerning length distances in metric spaces (2023)
• D. Lučić - E. Pasqualetto (preprint)
  An axiomatic theory of normed modules via Riesz spaces (2023)
• E. Pasqualetto (preprint)
  Projective and injective tensor products of Banach $L^0$-modules (2023)
• C. Brena - F. Nobili - E. Pasqualetto (Ann. Sc. Norm. Super. Pisa Cl. Sci.)
  Maps of bounded variation from PI spaces to metric spaces (2023)
• D. Lučić - E. Pasqualetto (preprint)
  Yet another proof of the density in energy of Lipschitz functions (2023)
• G. Antonelli - E. Pasqualetto - M. Pozzetta - I. Y. Violo (Proc. R. Soc. Edinb., Sect. A, Math.)
  Topological regularity of isoperimetric sets in PI spaces having a deformation property (2023)
• E. Pasqualetto - T. Rajala (Accepted Paper: Mathematische Zeitschrift)
  Vector calculus on weighted reflexive Banach spaces (2023)
• E. Caputo - M. Lučić - E. Pasqualetto - I. Vojnović (Revista Matemática Complutense)
  On the integration of Banach modules and its applications to vector calculus on ${\sf RCD}$ spaces (2023)
• P. Bonicatto - G. Del Nin - E. Pasqualetto (J. Funct. Anal.)
  Decomposition of integral metric currents (2022)
• M. Lučić - E. Pasqualetto - I. Vojnović (preprint)
  On the reflexivity properties of Banach bundles and Banach modules (2022)
• F. Nobili - E. Pasqualetto - T. Schultz (Adv. Calc. Var.)
  On master test plans for the space of BV functions (2022)
• N. Gigli - D. Lučić - E. Pasqualetto (preprint)
  Duals and pullbacks of normed modules (2022)
• E. Pasqualetto (Accepted Paper: Archiv der Mathematik)
  A short proof of the existence of master test plans (2022)
• E. Pasqualetto (preprint)
  Limits and colimits in the category of Banach $L^0$-modules (2022)
• G. Antonelli - C. Brena - E. Pasqualetto (Accepted Paper: Analysis & PDE)
  The Rank-One Theorem on $\mathrm{RCD}$ spaces (2022)
• F. Essebei - E. Pasqualetto (ESAIM: Control, Optimisation and Calculus of Variations)
  Variational problems concerning sub-Finsler metrics in Carnot groups (2022)
• G. Antonelli - E. Pasqualetto - M. Pozzetta (Nonlinear Analysis)
  Isoperimetric sets in spaces with lower bounds on the Ricci curvature (2022)
• C. Brena - E. Pasqualetto - A. Pinamonti (Accepted Paper: Communications in Contemporary Mathematics)
  Sobolev and BV functions on $\mathrm{RCD}$ spaces via the short-time behaviour of the heat kernel (2022)
• G. Antonelli - C. Brena - E. Pasqualetto (Annals of Global Analysis and Geometry)
  Subgraphs of $\rm BV$ functions on $\rm RCD$ spaces (2022)
• D. Lučić - E. Pasqualetto (preprint)
  Gamma-convergence of Cheeger energies with respect to increasing distances (2021)
• E. Pasqualetto - T. Schultz (preprint)
  Ultralimits of pointed metric measure spaces (2021)
• T. Moisala - E. Pasqualetto (Accepted Paper: Mathematica Scandinavica)
  Direct limits of infinite-dimensional Carnot groups (2021)
• E. Bruè - E. Pasqualetto - D. Semola (Annales Fennici Mathematici)
  Rectifiability of RCD(K,N) spaces via $\delta$-splitting maps (2021)
• S. Di Marino - D. Lučić - E. Pasqualetto (preprint)
  Representation theorems for normed modules (2021)
• D. Lučić - E. Pasqualetto - T. Rajala (preprint)
  Non-Hilbertian tangents to Hilbertian spaces (2021)
• D. Lučić - E. Pasqualetto (preprint)
  The metric-valued Lebesgue differentiation theorem in measure spaces and its applications (2021)
• T. Ikonen - D. Lučić - E. Pasqualetto (preprint)
  Pullback of a quasiconformal map between arbitrary metric measure spaces (2021)
• E. Bruè - E. Pasqualetto - D. Semola (Ann. Sc. Norm. Super. Pisa Cl. Sci.)
  Constancy of the dimension in codimension one and locality of the unit normal on $\mathrm{RCD}(K,N)$ spaces (2021)
• E. Caputo - N. Gigli - E. Pasqualetto (Journal für die reine und angewandte Mathematik)
  Parallel transport on non-collapsed $\mathsf{RCD}(K,N)$ spaces (2021)
• S. Di Marino - D. Lučić - E. Pasqualetto (Preprint)
  A short proof of the infinitesimal Hilbertianity of the weighted Euclidean space (2020)
• D. Lučić - E. Pasqualetto - T. Rajala (preprint)
  Characterisation of upper gradients on the weighted Euclidean space and applications (2020)
• T. Ikonen - E. Pasqualetto - E. Soultanis (Preprint)
  Abstract and concrete tangent modules on Lipschitz differentiability spaces (2020)
• E. Pasqualetto (Accepted Paper: Studia Mathematica)
  Testing the Sobolev property with a single test plan (2020)
• E. Pasqualetto (Preprint)
  Direct and inverse limits of normed modules (2019)
• D. Lučić - E. Pasqualetto - T. Rajala (Preprint)
  Sharp estimate on the inner distance in planar domains (2019)
• P. Bonicatto - E. Pasqualetto - T. Rajala (Preprint)
  Indecomposable sets of finite perimeter in doubling metric measure spaces (2019)
• C. Debin - N. Gigli - E. Pasqualetto (preprint)
  Quasi-continuous vector fields on RCD spaces (2019)
• E. Le Donne - D. Lučić - E. Pasqualetto (Accepted Paper: Potential Analysis)
  Universal infinitesimal Hilbertianity of sub-Riemannian manifolds (2019)
• E. Bruè - E. Pasqualetto - D. Semola (Journal of the European Mathematical Society (JEMS))
  Rectifiability of the reduced boundary for sets of finite perimeter over RCD(K,N) spaces (2019)
• N. Gigli - E. Pasqualetto (Preprint)
  Differential structure associated to axiomatic Sobolev spaces (2018)
• N. Gigli - E. Pasqualetto - E. Soultanis (Submitted Paper)
  Differential of metric valued Sobolev maps (2018)
• E. Pasqualetto (Ph.D. Thesis)
  Structural and geometric properties of $\sf RCD$ spaces (2018)
• S. Di Marino - N. Gigli - E. Pasqualetto - E. Soultanis (Submitted Paper)
  Infinitesimal Hilbertianity of locally ${\rm Cat}(\kappa)$-spaces (2018)
• D. Lučić - E. Pasqualetto (Preprint)
  Infinitesimal Hilbertianity of weighted Riemannian manifolds (2018)
• D. Lučić - E. Pasqualetto (Rendiconti del Circolo Matematico di Palermo)
  The Serre-Swan theorem for normed modules (2018)
• N. Gigli - E. Pasqualetto (preprint)
  On the notion of parallel transport on $\sf RCD$ spaces (2018)
• N. Gigli - E. Pasqualetto (Preprint)
  Behaviour of the reference measure on $\sf RCD$ spaces under charts (2016)
• N. Gigli - E. Pasqualetto (Submitted Paper)
  Equivalence of two different notions of tangent bundle on rectifiable metric measure spaces (2016)

Seminars:

• 3 feb 2021: Indecomposable sets of finite perimeter in metric measure spaces

Speaker:

• 11 jun 2018 - 11 jun 2018: Non-smooth Geometry and Optimal Transport