I started my research career working in the area of function spaces. I became interested in harmonic analysis during the later part of my PhD study. At the present time I continue working in both areas, focusing in particular on their interaction. I am also interested in applications of these areas to other fields of mathematics, such as ergodic theory and partial differential equations.
Organization of Scientific Events
International Prague seminar on function spaces, an online research seminar which takes place on Thursdays from 15:40.
Geometric and functional inequalities, function spaces and PDEs, a conference organized on the occasion of the 60th birthday of Andrea Cianchi. It will take place on 6 - 8 February 2023 in Prague.
Publications and Preprints
Multilinear singular integrals with homogeneous kernels near L¹ (with G. Dosidis), preprint. [arXiv]
Boundedness of functions in fractional Orlicz-Sobolev spaces (with A. Alberico, A. Cianchi and L. Pick), preprint. [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]
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]
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]
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]
Almost-compact embeddings, Math. Nachr. 285 (2012), 1500 - 1516. [article]