Publications

These are the preliminary versions of my publications. Notice that they might differ from the published ones. Some information related to my publications can also be found in my profile at MathSciNet (requires subscription) and at Google Scholar.

Preprints

1. Measure and dimension theory of permeable sets and its applications to fractals
   (with G. Leobacher, A. Steinicke, and J. Thuswaldner), Preprint, 2024, 40 pp. arXiv
   
2. Planar W^1,1-extension domains
   (with P. Koskela and Y. Zhang), Preprint, 2017, 44 pp.

   Accepted

3. A geometric characterization of planar Sobolev extension domains
   (with P. Koskela and Y. Zhang), Sci. China Math., 87 pp. arXiv
   
4. Vector calculus on weighted reflexive Banach spaces
   (with E. Pasqualetto), Math. Z. (to appear), 21 pp. arXiv
   
5. Uniform approximation of continuous couplings
   (with U. Bindini), Constructive Approximation (to appear), 9 pp. arXiv
   
6. Zero volume boundary for extension domains from Sobolev to BV
   (with Z. Zhu), Rev. Mat. Complut. (to appear), 10 pp. arXiv
   

   Published

7. Approximation by BV-extension sets via perimeter minimization in metric spaces
   (with J. Koivu and D. Lučić), Int. Math. Res. Notices 2024 (2024), no. 11, 9359-9375. arXiv
   
8. Tensorization of quasi-Hilbertian Sobolev spaces
   (with S. Eriksson-Bique and E. Soultanis), Rev. Mat. Iberoam. 40 (2024), no. 2, 565-580. arXiv
   
9. Sobolev, BV and perimeter extensions in metric measure spaces
   (with E. Caputo and J. Koivu), Ann. Fenn. Math. 49 (2024), no. 1, 135-165. arXiv
   
10. Tensorization of p-weak differentiable structures
    (with S. Eriksson-Bique and E. Soultanis), J. Funct. Anal. 287 (2024), no. 4, 110497. arXiv
    
11. A necessary condition for Sobolev extension domains in higher dimensions
    (with M. García-Bravo and J. Takanen), Nonlinear Anal. 240 (2024), 113446. arXiv
    
12. Two-sided boundary points of Sobolev-extension domains on Euclidean spaces
    (with M. García-Bravo and J. Takanen), Pot. Anal. 60 (2024), 1249-1270. arXiv
    
13. Non-Hilbertian tangents to Hilbertian spaces
    (with D. Lučić and E. Pasqualetto), Proc. Roy. Soc. Edinburgh Sect. A 153 (2023), no. 3, 811-832. arXiv
    
14. Removability of product sets for Sobolev functions in the plane
    (with U. Bindini), Ark. Mat. 61 (2023), no. 1, 67-80. arXiv
    
15. Dimension estimates for the boundary of planar Sobolev extension domains
    (with D. Lučić and J. Takanen), Adv. Calc. Var. 16 (2023), no. 2, 517-528. arXiv
    
16. Bi-Lipschitz invariance of planar BV- and W^1,1-extension domains
    (with M. García-Bravo and Z. Zhu), Proc. Amer. Math. Soc. 150 (2022), 2535-2543. arXiv
    
17. Strong BV-extension and W^1,1-extension domains
    (with M. García-Bravo), J. Funct. Anal. 283 (2022), no. 10, 109665. arXiv
    
18. Optimal transport maps on Alexandrov spaces revisited
    (with T. Schultz), Manuscripta Math. 169 (2022), 1-18. arXiv
    
19. Characterisation of upper gradients on the weighted Euclidean space and applications
    (with D. Lučić and E. Pasqualetto), Ann. Mat. Pura Appl. 200 (2021), 2473-2513. arXiv
    
20. A density result on Orlicz-Sobolev spaces in the plane
    (with W. A. Ortiz), J. Math. Anal. Appl.503 (2021), 125329. arXiv
    
21. Approximation by uniform domains in doubling quasiconvex metric spaces
    Complex Anal. Synerg. 7 (2021), no. 4 arXiv
    
22. Multi-marginal Entropy-Transport with repulsive cost
    (with A. Gerolin and A. Kausamo), Calc. Var. Partial Differential Equations, 59 (2020), no. 90. arXiv
    
23. Sharp estimate on the inner distance in planar domains
    (with D. Lučić and E. Pasqualetto), Ark. Mat., 58 (2020), 133-159. arXiv
    
24. Indecomposable sets of finite perimeter in doubling metric measure spaces
    (with P. Bonicatto and E. Pasqualetto), Calc. Var. Partial Differential Equations, 59 (2020), no. 63. arXiv
    
25. Duality theory for multimarginal optimal transport with repulsive costs in metric spaces
    (with A. Gerolin and A. Kausamo), ESAIM Control Optim. Calc. Var. 25 (2019), no. 62. arXiv
    
26. Removable sets for intrinsic metric and for holomorphic functions
    (with S. Kalmykov and L. V. Kovalev), J. Anal. Math. 139 (2019), 751-772. arXiv
    
27. A density result for homogeneous Sobolev spaces on planar domains
    (with D. Nandi and T. Schultz), Potential Anal. 51 (2019), 483-498. arXiv
    
28. Non-existence of optimal transport maps for the multi-marginal repulsive harmonic cost
    (with A. Gerolin and A. Kausamo), SIAM Math. Anal. 51 (2019), no. 3, 2359-2371. arXiv
    
29. Restricting open surjections
    (with J. Jaramillo and E. Le Donne), Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Math. RACSAM 113 (2019), no. 3, 1795-1798. arXiv
    
30. Isometric embeddings of snowflakes into finite-dimensional Banach spaces
    (with E. Le Donne and E. Walsberg), Proc. Amer. Math. Soc. 146 (2018), no. 2, 685-693. arXiv
    
31. Products of snowflaked Euclidean lines are not minimal for looking down
    (with M. Joseph), Anal. Geom. Metr. Spaces, 5 (2017), no. 1, 78-97. arXiv
    
32. Ahlfors-regular distances on the Heisenberg group without biLipschitz pieces
    (with E. Le Donne and S. Li), Proc. Lond. Math. Soc., 115 (2017), 348-380. arXiv
    
33. A density problem for Sobolev spaces on Gromov hyperbolic domains
    (with P. Koskela and Y. Zhang), Nonlinear Anal., 154 (2017), 189-209. arXiv
    
34. Local homogeneity and dimensions of measures
    (with A. Käenmäki and V. Suomala), Ann. Sc. Norm. Super. Pisa Cl. Sci., 16 (2016), no. 4, 1315-1351. arXiv
    
35. Optimal maps and exponentiation on finite dimensional spaces with Ricci curvature bounded from below
    (with N. Gigli and K.-T. Sturm), J. Geom. Anal., 26 (2016), no. 4, 2914-2929. arXiv
    
36. Tangent lines and Lipschitz differentiability spaces
    (with F. Cavalletti), Anal. Geom. Metr. Spaces, 4 (2016), no. 1, 85-103. arXiv
    
37. L^∞ estimates in optimal mass transportation
    (with H. Jylhä), J. Funct. Anal., 270 (2016), 4297-4321. arXiv
    
38. Failure of the local-to-global property for CD(K,N) spaces
    Ann. Sc. Norm. Super. Pisa Cl. Sci., 16 (2016), 45-68. arXiv
    
39. A function whose graph has positive doubling measure
    (with T. Ojala), Proc. Amer. Math. Soc., 144 (2016), no. 2, 733-738. arXiv
    
40. Euclidean spaces as weak tangents of infinitesimally Hilbertian metric measure spaces with Ricci curvature bounded below
    (with N. Gigli and A. Mondino), J. Reine Angew. Math., 705 (2015), 233-244. arXiv
    
41. Riemannian Ricci curvature lower bounds in metric measure spaces with σ-finite measure
    (with L. Ambrosio, N. Gigli and A. Mondino), Trans. Amer. Math. Soc., 367 (2015), no. 7, 4661-4701. arXiv
    
42. Failure of topological rigidity results for the measure contraction property
    (with C. Ketterer), Potential Anal., 42 (2015), no. 3, 645-655. arXiv
    
43. Assouad dimension, Nagata dimension, and uniformly close metric tangents
    (with E. Le Donne), Indiana Univ. Math. J., 64 (2015), no. 1, 21-54. arXiv
    
44. Radon-Nikodym property and area formula for Banach homogeneous group targets
    (with V. Magnani), Int. Math. Res. Notices, 2014 (2014), no. 23, 6399-6430. arXiv
    
45. Non-branching geodesics and optimal maps in strong CD(K,∞)-spaces
    (with K.-T. Sturm), Calc. Var. Partial Differential Equations, 50 (2014), no. 3-4, 831-846. arXiv
    
46. Slopes of Kantorovich potentials and existence of optimal transport maps in metric measure spaces
    (with L. Ambrosio), Ann. Mat. Pura Appl., 193 (2014), no. 1, 71-87. arXiv
    
47. Local multifractal analysis in metric spaces
    (with A. Käenmäki and V. Suomala), Nonlinearity, 26 (2013), no. 8, 2157–2173. arXiv
    
48. Improved geodesics for the reduced curvature-dimension condition in branching metric spaces
    Discrete Contin. Dyn. Syst., 33 (2013), no. 7, 3043-3056. arXiv
    
49. Interpolated measures with bounded density in metric spaces satisfying the curvature-dimension conditions of Sturm
    J. Funct. Anal., 263 (2012), no. 4, 896-924. arXiv
    
50. Local Poincaré inequalities from stable curvature conditions on metric spaces
    Calc. Var. Partial Differential Equations, 44 (2012), no. 3-4, 477-494. arXiv
    
51. Thin and fat sets for doubling measures in metric spaces
    (with T. Ojala and V. Suomala), Studia Math., 208 (2012), no. 3, 195-211. arXiv
    
52. Existence of doubling measures via generalised nested cubes
    (with A. Käenmäki and V. Suomala), Proc. Amer. Math. Soc., 140 (2012), no. 9, 3275-3281. arXiv
    
53. Generalized Hausdorff dimension distortion in Euclidean spaces under Sobolev mappings
    (with A. Zapadinskaya and T. Zürcher), J. Math. Anal. Appl., 384 (2011), no. 2, 468-477. arXiv
    
54. Generalized dimension distortion under mappings of sub-exponentially integrable distortion
    (with A. Zapadinskaya and T. Zürcher), Ann. Acad. Sci. Fenn. Math., 36 (2011), no. 2, 553-566. arXiv
    
55. Planar Sobolev homeomorphisms and Hausdorff dimension distortion
    Proc. Amer. Math. Soc., 139 (2011), no. 5, 1825-1829. pdf
    
56. Comparing the Hausdorff and packing measures of sets of small dimension in metric spaces
    Monatsh. Math., 164 (2011), no. 3, 313-323. pdf
    
57. Weakly controlled Moran constructions and iterated functions systems in metric spaces
    (with M. Vilppolainen), Illinois J. Math., 55 (2011), no. 3, 1015-1051. pdf
    
58. Upper conical density results for general measures on Rⁿ
    (with M. Csörnyei, A. Käenmäki and V. Suomala), Proc. Edinb. Math. Soc., 53 (2010), no. 2, 311-331. pdf
    
59. Packing dimension and Ahlfors regularity of porous sets in metric spaces
    (with E. Järvenpää, M. Järvenpää, A. Käenmäki, S. Rogovin and V. Suomala),
    Math. Z., 266 (2010), no. 1, 83-105. pdf
    
60. Large porosity and dimension of sets in metric spaces
    Ann. Acad. Sci. Fenn. Math., 34 (2009), no. 2, 565-581. pdf
    
61. Packing dimension of mean porous measures
    (with D. Beliaev, E. Järvenpää, M. Järvenpää, A. Käenmäki, S. Smirnov and V. Suomala),
    J. Lond. Math. Soc. (2), 80 (2009), no. 2, 514-530. pdf
    

    Other

62. Porosity and dimension of sets and measures
    (Introductory part of the Ph.D. thesis), Rep. Univ. Jyväskylä Dept. Math. Stat. 119 (2009). pdf
    
63. A note on the level sets of Hölder continuous functions on the real line
    (A short note from 2008), 6 pp. pdf
    
64. Dimension of mean porous measures
    Real Analysis Exchange 2007, 31st Summer Symposium Conference, 257-262. pdf