Research

Interest:

Harmonic analysis on Euclidean spaces: 

Fractional operators, Integral operators, Sparse domination,  Weight theory, Sparse domination, Variable Lebesgue Spaces, Operator with Hörmander's condition.

Preprints:

1. Ibañez-Firnkorn, G. and Ramadori, E., Fractional Maximal operator in hyperbolic spaces, arXiv preprint arXiv:2312.17410, 2023. 

Preprint in Arxiv

Published papers:

1. Ibañez-Firnkorn, G. and Rivera-Ríos, I. P., Mixed weak-type inequalities in Euclidean spaces and in spaces of the homogeneous type, Math. Nachr. 00 (2023), 1–37. https://doi.org/10.1002/mana.202300259 

Preprint in Arxiv

2. Ibañez-Firnkorn, G.; Vallejos, L.; Boundedness of commutators of integral operators of fractional type and $M_{\alpha, L^{r}\log L}$ maximal operator in variable Lebesgue spaces.  J Geom Anal 33, 354 (2023). https://doi.org/10.1007/s12220-023-01416-5 

3. Cao, Mingming; Ibañez-Firnkorn, Gonzalo; Rivera-Ríos, Israel P.; Xue, Qingying; Yabuta, Kôzô; A class of multilinear bounded oscillation operators on measure spaces and applications. (2023) Math. Ann. (2023). https://doi.org/10.1007/s00208-023-02619-5

Preprint in Arxiv

4. Ibañez-Firnkorn, Gonzalo, H.; Riveros, María Silvina; Vidal, Raúl. Sharp bounds for fractional operator with Lα,s-Hörmander conditions.  Rev. Un. Mat. Argentina.  63 (2022) no. 2,  425–442

Preprint in Arxiv 

5. Ibañez-Firnkorn, Gonzalo, H.; Riveros, María Silvina; VIDAL, Raúl. Necessary condition on the weight for maximal and integral operators with rough kernels.  Studia Math. 263 (2022), no. 3, 293-321

 Preprint in Arxiv 

6. Cao, Mingming; Hormozi, Mahdi; Ibañez-Firnkorn, Gonzalo; Rivera-Ríos, Israel P.; Si, Zengyan; Yabuta Kôzô. Weak and strong type estimates for the multilinear Littlewood-Paley operators.  J. Fourier Anal. Appl. 27  (2021) no. 4, Paper No. 62, 42 pp.  

  Preprint in Arxiv 

7. Ibañez-Firnkorn, Gonzalo, H.; Riveros, M. Silvina. Commutators of certain fractional type operators with Hörmander conditions, one-weighted and two-weighted inequalities. Math. Inequal. Appl. 23 (2020), no. 4, 1361--1389. 

8. Ibañez-Firnkorn, Gonzalo H.; Rivera-Ríos, Israel P.; Sparse and weighted estimates for generalized Hörmander operators and commutators. Monatsh. Math. 191 (2020),  no. 1, 125--173.   

9.  Gallo, Andrea L; Ibañez-Firnkorn, Gonzalo, H.; Riveros, M. Silvina.  Hörmander's conditions for vector-valued kernels of singular integrals and its commutators. Rev. Un. Mat. Argentina 60 (2019), no. 1, 225--245.

10.  Ibañez-Firnkorn, Gonzalo, H.; Riveros, M. Silvina. Certain fractional type operators with  Hörmander conditions.  Ann. Acad. Sci. Fenn. Math. 43 (2018), no. 2, 913--929