Publications

D. Dąbrowski (2023). Visible parts and slices of Ahlfors regular sets. Preprint.

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D. Dąbrowski, M. Villa (2023). Necessary condition for the $L^2$ boundedness of the Riesz transform on Heisenberg groups. Math. Proc. Cambridge Philos. Soc. (appeared online).

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D. Dąbrowski (2022). Quantitative Besicovitch projection theorem for irregular sets of directions. Preprint.

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D. Dąbrowski, T. Orponen, M. Villa (2022). Integrability of orthogonal projections, and applications to Furstenberg sets. Adv. Math. 407, 108567.

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D. Dąbrowski (2022). Cones, rectifiability, and singular integral operators. Rev. Mat. Iberoam. 38, no. 4, 1287–1334.

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D. Dąbrowski, M. Villa (2022). Analytic capacity and dimension of sets with plenty of big projections. Preprint.

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A. Chang, D. Dąbrowski, T. Orponen, M. Villa (2022). Structure of sets with nearly maximal Favard length. To appear in Anal. PDE.

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D. Dąbrowski (2022). Two examples related to conical energies. Ann. Fenn. Math. 47, no. 1, 261–281.

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D. Dąbrowski, X. Tolsa (2021). The measures with $L^2$-bounded Riesz transform satisfying a subcritical Wolff-type energy condition. Preprint.

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D. Dąbrowski (2021). Sufficient condition for rectifiability involving Wasserstein distance $W_2$. J. Geom. Anal. 31, 8539–8606.

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J. Azzam, D. Dąbrowski (2020). An $\alpha$-number characterization of $L^{p}$ spaces on uniformly rectifiable sets. To appear in Publ. Mat.

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D. Dąbrowski (2020). Necessary condition for rectifiability involving Wasserstein distance $W_2$. Int. Math. Res. Not. IMRN 2020, no. 22, 8936–8972.

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D. Dąbrowski (2019). Characterization of Sobolev-Slobodeckij spaces using curvature energies. Publ. Mat. 63, no. 2, 663–677.

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