Research Interests

My research interests include harmonic analysis and its connections with the theory of function spaces. I am also interested in applications of these areas to other branches of mathematics, such as ergodic theory and partial differential equations.

Postdoctoral Position Opening

I am looking for a postdoc to join my research group in September 2026. The duration of the position is two years. See this link for more details.

Organization of Scientific Events

International Prague seminar on function spaces, an online research seminar which takes place biweekly on Tuesdays from 14:00.

Workshop on Harmonic Analysis and Related Topics, organized as a part of the Joint Meeting of the Czech, Slovenian, Austrian, Slovak and Catalan Mathematical Societies (CSASC 2026). The event will take place on February 2-3, 2026 in Pilsen, Czech Republic.

Publications and Preprints

Bilinear singular integral operators with kernels in weighted spaces (with P. Honzík and S. Lappas), preprint. [arxiv]

Bilinear rough singular integrals near the critical integrability via sharp Fourier multiplier criteria (with G. Dosidis and B. Park), Trans. Amer. Math. Soc., to appear. [arxiv]

Norm-variation of triple ergodic averages for commuting transformations (with P. Durcik and C. Thiele), Anal. PDE, to appear. [arXiv]

Fractional Orlicz-Sobolev embeddings into Campanato type spaces (with A. Alberico, A. Cianchi and L. Pick), Nonlinear Anal. Real World Appl. 87 (2026), Paper No. 104455, 26 pp. [article] [arxiv]

Strongly nonlinear Robin problems for harmonic and polyharmonic functions in the half-space (with A. Cianchi and G. Y. Diebou), Adv. Calc. Var. 18 (2025), no. 3, 773 - 806. [article] [arxiv]

Dimension-free inequalities for low and high degree functions on the Hamming cube (with K. Domelevo, P. Durcik, V. Fragkiadaki, O. Klein, D. Oliveira e Silva and B. Wróbel), Studia Math. 280 (2025), no. 2, 161 - 173. [article] [arXiv]

On the modulus of continuity of fractional Orlicz-Sobolev functions (with A. Alberico, A. Cianchi and L. Pick), Math. Ann. 391 (2025), no. 2, 2429 - 2477. [article] [arxiv]

Higher-order Sobolev embeddings into spaces of Campanato and Morrey type (with P. Cavaliere, A. Cianchi and L. Pick), Nonlinear Anal. 251 (2025), Paper No. 113678, 31 pp. [article] [arxiv]

Multilinear singular integrals with homogeneous kernels near L¹ (with G. Dosidis), Math. Ann. 389 (2024), 2259 - 2271. [article] [arXiv]

Boundedness of functions in fractional Orlicz-Sobolev spaces (with A. Alberico, A. Cianchi and L. Pick), Nonlinear Anal. 230 (2023), Paper No. 113231, 26 pp. [article] [arXiv]

Local bounds for singular Brascamp-Lieb forms with cubical structure (with P. Durcik and C. Thiele), Math. Z. 302 (2022), 2375 - 2405. [article] [arXiv]

Bilinear maximal functions associated with surfaces (with J. Chen, L. Grafakos, D. He and P. Honzík), Proc. Amer. Math. Soc. 150 (2022), no. 4, 1635 - 1639. [article]

A sharp variant of the Marcinkiewicz theorem with multipliers in Sobolev spaces of Lorentz type (with L. Grafakos and M. Mastyło), J. Funct. Anal. 282 (2022), no. 3, Paper No. 109295. [article] [arXiv]

Fractional Orlicz-Sobolev embeddings (with A. Alberico, A. Cianchi and L. Pick), J. Math. Pures Appl. 149 (2021), 216 - 253. [article] [arXiv]

Bilinear Fourier multipliers and the rate of decay of their derivatives, J. Approx. Theory 261 (2021), 105485, 25pp. [article] [arXiv]

On the limit as s→ 1- of possibly non-separable fractional Orlicz-Sobolev spaces (with A. Alberico, A. Cianchi and L. Pick), Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. 31 (2020), no. 4, 879-899. [article]

On the limit as s → 0+ of fractional Orlicz-Sobolev spaces (with A. Alberico, A. Cianchi and L. Pick), J. Fourier Anal. Appl. 26 (2020), no. 6, Paper No. 80, 19 pp. [article] [arXiv]

On the failure of the Hörmander multiplier theorem in a limiting case, Rev. Mat. Iberoam. 36 (2020), no. 4, 1013 - 1020. [article] [arXiv]

Sobolev embeddings in Orlicz and Lorentz spaces with measures (with A. Cianchi and L. Pick), J. Math. Anal. Appl. 1485 (2020), no. 2, 123827. [article]

Sobolev embeddings, rearrangement-invariant spaces and Frostman measures (with A. Cianchi and L. Pick), Ann. Inst. H. Poincaré Anal. Non Linéaire 37 (2020), no. 1, 105 - 144. [article] [arXiv]

L² × L² → L¹ boundedness criteria (with L. Grafakos and D. He), Math. Ann. 376 (2020), no. 1 - 2, 431 - 455. [article] [arXiv]

A sharp version of the Hörmander multiplier theorem (with L. Grafakos), Int. Math. Res. Not. IMRN 2019, no. 15, 4764 - 4783. [article][arXiv]

Banach algebras of weakly differentiable functions (with A. Cianchi and L. Pick), J. Anal. Math. 138 (2019), no. 2, 473 - 511. [article] [arXiv]

Failure of the Hörmander kernel condition for multilinear Calderón-Zygmund operators (with L. Grafakos and D. He), C. R. Math. Acad. Sci. Paris 357 (2019), no. 4, 382 - 388. [article]

The Marcinkiewicz multiplier theorem revisited (with L. Grafakos), Arch. Math. (Basel) 112 (2019), no. 2, 191 - 203. [article][arXiv]

Sharp Sobolev type embeddings on the entire Euclidean space (with A. Alberico, A. Cianchi and L. Pick), Comm. Pure Appl. Anal. 17 (2018), no. 5, 2011 - 2037. [article] [arXiv]

Norms supporting the Lebesgue differentiation theorem (with P. Cavaliere, A. Cianchi and L. Pick), Commun. Contemp. Math. 20, no. 1 (2018). [article][arXiv]

On the necessity of bump conditions for the two-weighted maximal inequality, Proc. Amer. Math. Soc. 145 (2017), 109 - 118. [article][arXiv]

Compactness of higher-order Sobolev embeddings, Publ. Mat. 59 (2015), no. 2, 373 - 448. [article][arXiv]

Higher-order Sobolev embeddings and isoperimetric inequalities (with A. Cianchi and L. Pick), Adv. Math. 273 (2015), 568 - 650. [article] [arXiv]

Almost-compact embeddings, Math. Nachr. 285 (2012), 1500 - 1516. [article]