Interests

Harmonic Analysis, Theory of weights, Extrapolation, Interpolation, Maximal functions, Singular Integrals, multilinear Singular Integrals, Hardy spaces.

Preprints

1. K. Li, T. Luque, S. Ombrosi. Endpoint multilinear restricted weak type extrapolation theorem, (2024) Preprint Arxiv

2. A. K. Lerner, K. Li, S. Ombrosi and I. Rivera-Ríos. On some improved weighted weak type inequalities, (2024) Preprint Arxiv. 

3. J. Antezana and S. Ombrosi, Weighted maximal inequalities on hyperbolic spaces, (2023). Preprint in Arxiv

4. E. Carneiro, C. González-Riquelme, L. Oliveira, A. Olivo, S. Ombrosi, A. Ramos, M. Sousa. Sharp embeddings between weighted Paley-Wiener spaces, (2023). Preprint in Arxiv

Published or accepted Papers

1. A. K. Lerner, K. Li, S. Ombrosi and I. Rivera-Ríos, On the sharpness of some matrix weighted endpoint estimates. To appear in Comptes Rendus - Série Mathématique. Preprint in Arxiv

2. A. K.  Lerner, E. Lorist and S. Ombrosi, Bloom weighted bounds for sparse forms associated to commutators.  Math. Z. Volume 306, article number 73, (2024). Preprint in Arxiv 

3. S. Ombrosi and I. Rivera-Ríos; Endpoint mixed weak type extrapolation To appear in Proc. AMS (2024). Preprint in Arxiv

4. A. K. Lerner; E. Lorist and S. Ombrosi, BMO with respect to Banach function spaces. To appear in Math. Annalen (2023) Arxiv.  

5. K. Li, S. Ombrosi and  I. Rivera-Ríos. Upper endpoint estimates and extrapolation for commutators. To appear in Rev. UMA (2023) especial edition in honor to Pola Harboure. Preprint avaible in Arxiv.

6. N. Accomazzo, J. Duoandikoetxea, Z. Nieraeth, S. Ombrosi and C. Pérez. Weighted Lorentz spaces:  sharp mixed  $A_p-A_{\infty}$ estimate for maximal functions. To appear in JMAA (2022). Preprint Arxiv.  

7. A. K. Lerner; E. Lorist and S. Ombrosi Operator-free sparse domination.  Forum of Mathematics, Sigma , Volume 10 , 2022. Preprint in Arxiv.

8. S. Ombrosi and I. P. Rivera-Ríos; Weighted L^p estimates on the infinite rooted k-ary tree (2021) Available online in Mathematische Annalen. Preprint in  Arxiv

9. A. K. Lerner; S. Ombrosi and I. Rivera-Ríos; On two weight estimates for commutators (2020). J. Funct. Anal., 281 (2021),no. 8, 109153.  Preprint in Arxiv.  

10. S. Ombrosi, I. P. Rivera-Ríos and M. D. Safe. Fefferman-Stein inequalities for the Hardy-Littlewood maximal function on the infinite rooted k-ary tree. Int. Math. Res. Not. IMRN (2021), no. 4, 2736–2762.  Arxiv

11. K. Li, J. M. Martell, S. Ombrosi, Extrapolation for multilinear Muckenhoupt classes and applications. Adv. Math. V. 373 (2020). Available online.   

12. K. Li, J. M. Martell, H. Martikainen, S. Ombrosi, E. Vuorinen, End-point estimates, extrapolation for multilinear Muckenhoupt classes, and applications. Accepted in Trans. Amer. Math. Soc. (2020).  Arxiv.1902.04951 

13.  A. K. Lerner, F. Nazarov, S. Ombrosi On the sharp upper bound related to the weak Muckenhoupt-Wheeden conjecture. To appear in Analysis & PDE. (2019) Arxiv.710.07700

14. S. Ombrosi C. Pérez, I. P. Rivera-Ríos, E. Rela,  A note on generalized Fujii-Wilson conditions and BMO spaces. To appear in Israel Journal (2019).  Arxiv.1904.01678

15. A. K. Lerner, S. Ombrosi.  Some remarks on the pointwise sparse domination.  Available online in The Journal of Geometric Analysis (2019). Arxiv.1901.00195

16. K. Li, S. Ombrosi, C. Pérez Proof of an extension of E. Sawyer’s Conjecture about weighted mixed weak-type estimates. Available online in Mathematische Annalen (2018).  Arxiv.1703.01530

17. D. Carando, M. Mazzitelli, S. Ombrosi Multilinear Marcinkiewicz-Zygmund inequalities.  J Fourier Anal. Appl. (2019) V. 25, nº1, pp 51-85.  Arxiv.1611.08284

18. K. Li, S. Ombrosi, B. Picardi. Weighted mixed weak-type inequalities for multilinear operators. Studia Math. 244 (2019), no. 2, 203–215. Arxiv.1705.09206

19. A. K. Lerner, S. Ombrosi, I. P. Rivera-Ríos. Commutators of singular integrals revisited (2018). Available online in Bull. London Math. Soc. Arxiv.1709.04724

20. A. K. Lerner, S. Ombrosi, I. P. Rivera-Ríos. On pointwise and weighted estimates for commutators of Calderón–Zygmund operators, Adv. Math. 319 (2017), 153–181.  Arxiv.1604.01334

21. M. Caldarelli, A. K. Lerner, S. Ombrosi. On a counterexample related to weighted weak type estimates for singular integrals Proc. Amer. Math. Soc.  V. 145, N. 7, pp 3005–3012 (2017). Arxiv.1506.08317

22. S. Ombrosi, A. Perini, R. Testoni. An Interpolation Theorem between Calderón-Hardy spaces Rev. Unión Mat. Argentina,  nº58, pp. 1-19 (2017)

    • Preprint

23. S. Ombrosi, C. Pérez, Mixed weak type estimates: examples and counterexamples related to a problem of E. Sawyer. Colloq. Math. 145 (2016), no. 2, 259–272. 

    • Preprint

24. S. Ombrosi, C. Pérez, J. Recchi. Quantitative weighted mixed weak-type inequalities for classical operators Indiana Univ. Math. J.  V.65, nº2, pp 615-640 (2016)

    • Arxiv.1408.4339

25. J.Duoandikoetxea, F. J. Martín-Reyes, S. Ombrosi On the A∞ conditions for general bases Math. Z. V. 282, nº 3 pp. 955-972 (2016)

    • Preprint

26. J.Duoandikoetxea, F. J. Martín-Reyes, S. Ombrosi Calderón weights as Muckenhoupt weights Indiana Univ. Math. J.  62 No. 3 (2013), 891–910

    • Preprint

27. A. K. Lerner, S. Ombrosi. An extrapolation theorem with applications to weighted estimates for singular integrals  Journal  Functional Analysis 262 (2012), no. 10, 4475–4487. 

    • Preprint

28. A. K. Lerner, S. Ombrosi, C. Pérez  A1 bounds for Calderón-Zygmund operators related to a problem of Muckenhoupt and Wheeden Math. Res. Lett., 16 (2009) no. 1, 149-156.

    • Preprint

29. A. K. Lerner, S. Ombrosi, C. Pérez, R. H. Torres, R. Trujillo-Gonzalez New maximal functions and multiple weights for the multilinear Calderón-Zygmund theory Adv. Math., 220 (2009) no. 4, 1222-1264.

    • Preprint

30. A. K. Lerner, S. Ombrosi, C. Pérez Weak type estimates for singular integrals related to a dual  problem of Muckenhoupt and Wheeden  J. Fourier Anal. Appl., V. 15, nº 3 (2009), 394-403 

    • Preprint

31. F. J. Martín-Reyes, S. Ombrosi Mixed weak type inequalities for one-sided operators Quarterly J. Math., V. 60 (2009) , 63 - 73.

    • Preprint

32. A. K. Lerner, S. Ombrosi A boundedness criterion for general maximal operators Pub. Mat., 54 (2010) no. 1, 53-71. 

    • Preprint

33. A. K. Lerner, S. Ombrosi, C. Pérez Sharp A1  bounds for Calderón-Zygmund operators and the relationship with a problem of Muckenhoupt and Wheeden Int. Math. Res. Not. V. 2008 (2008)

    • Preprint

34. L. Forzani, F. J.  Martín-Reyes, S. Ombrosi,  Weighted inequalities for the two-dimensional one-sided Hardy-Littlewood maximal function Trans. Amer. Math. Soc. 363 (2011), no. 4, 1699–1719

    • Preprint

35. S. Ombrosi, C. Segovia, R. Testoni An interpolation theorem between one-sided Hardy spaces Arkiv för Matematik. V. 45 (2006).

    • Preprint

36. S. Ombrosi, Weak weighted inequalities for a dyadic one-sided maximal function in Rn Proc. Amer. Math. Soc. V. 133, 1769-1775 (2005). 

    • Preprint

37. S. Ombrosi, C. Segovia One-sided singular integral operators on Calderón-Hardy spaces Rev. de la Unión Mat. Argentina. V. 44, 17-35 (2003).

    • Preprint

38. S. Ombrosi, L. de Rosa Boundedness of the Weyl fractional Integral on one-sided weighted Lebesgue and Lipschitz spaces  Pub. Mat., V.47,  71-102, (2003)

    • Preprint

39. S. Ombrosi On spaces associated with primitives of distributions in one-sided Hardy spaces Rev. de la Unión Mat. Argentina. V.  42, 81-102 (2002).

    • Preprint