Research

Interests

My research is mainly concerned with weighted estimates.

Preprints

In press/available online

2025

• Martín-Reyes, Francisco J.; Rivera-Ríos, Israel P.  A note on one sided extrapolation of compactness and applications  Available Online in Studia Math.

  • Preprint in Arxiv 

2024

• Ombrosi, Sheldy; Rivera-Ríos, Israel P.; Endpoint mixed weak type extrapolation (2023) to appear in Proc. Amer. Math. Soc.

  • Preprint in Arxiv

• Lerner, Andrei K.; Li, Kangwei; Ombrosi, Sheldy; Rivera-Ríos, Israel P.; On some improved weighted weak type inequalities (2024) to appear in  Ann. Sc. Norm. Super. Pisa Cl. Sci. 

  • Preprint in Arxiv

Published works

2024

• Lerner, Andrei K.; Li, Kangwei; Ombrosi, Sheldy; Rivera-Ríos, Israel P.; On the sharpness of some quantitative Muckenhoupt-Wheeden inequalities Comptes Rendus. Mathématique, 362 (2024), 1253-1260. (Open Access)

  • Preprint in Arxiv

• Ibañez-Firnkorn, Gonzalo H.; Rivera-Ríos, Israel P. Mixed weak type inequalities in euclidean spaces and in spaces of homogeneous type  Available Math. Nachr. 297 (2024), 1370–1406. (Open Access)

• 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  Math. Ann.  388 (2024), no. 4, 3627–3755.

  • Preprint in Arxiv

• Lorente, María; Martín-Reyes, Francisco J.; Rivera-Ríos, Israel P. Some quantitative one-sided weighted estimates J. Math. Anal. Appl.  529 (2024), no. 2, Paper No. 126943. (Open Access)

2023

• Lorente, María; Martín-Reyes, Francisco J.; Rivera-Ríos, Israel P. One-sided Cp estimates via M# function  Proc. Roy. Soc. Edinburgh Sect. A 153 (2023), no. 6, 2079–2105.

  • Preprint in Arxiv

• Li, Kangwei; Ombrosi, Sheldy; Rivera-Ríos, Israel P.; Upper endpoint estimates and extrapolation for commutators Rev. Un. Mat. Argentina 66, (2023), no. 1, 213–228 (Open Access)

• Muller, Pamela A.; Rivera-Ríos, Israel P. Endpoint Entropy Fefferman–Stein Bounds for Commutators J. Fourier Anal. Appl. 29 (2023), no. 5, Paper No. 59. (Open Access)

• Martínez-Perales, Javier C.; Rela, Ezequiel; Rivera-Ríos, Israel P.; Quantitative John-Nirenberg inequalities at different scales Rev. Mat. Complut. 36 (2023), no. 2, 627–661.  (Open Access)

2022

• Muller, Pamela A.; Rivera-Ríos, Israel P.; Quantitative matrix weighted estimates for certain singular integral operators J. Math. Anal. Appl. 509 (2022), no. 1, Paper No. 125939. 42.

• • Preprint in Arxiv

• Ombrosi, Sheldy; Rivera-Ríos, Israel P.; Weighted Lp estimates on the infinite rooted k-ary tree Math. Ann. 384 (2022), no. 1-2, 491–510.

  • Preprint in Arxiv

2021

• Lerner, Andrei K.; Ombrosi, Sheldy; Rivera-Ríos, Israel P.; On two weight estimates for iterated commutators. J. Funct. Anal. 281 (2021), no. 8, 109153.

  • • Preprint in Arxiv

• 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.

  • Preprint in Arxiv

• Cruz-Uribe, David;  Isralowitz, Joshua; Moen, Kabe; Pott, Sandra; Rivera-Ríos, Israel P. Weak endpoint bounds for matrix weights Rev. Mat. Iberoam.. 37 (2021), no. 4, 1513–1538.

  • Preprint in Arxiv

• Isralowitz, Joshua; Pott, Sandra; Rivera-Ríos, Israel P. Sharp A1 weighted estimates for vector valued operators  J. Geom. Anal. 31 (2021), no. 3, 3085–3116.

  • Preprint in Arxiv

• Ombrosi, Sheldy; Rivera-Ríos, Israel P.; Safe, Martín D. 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.

  • Preprint in Arxiv

2020

• Ombrosi, Sheldy; Pérez, Carlos; Rela, Ezequiel; Rivera-Ríos, Israel P.; A note on generalized Fujii-Wilson conditions and BMO spaces Israel J. Math. 238 (2020), no. 2, 571–591.

  • Preprint in Arxiv

• Caldarelli, Marcela; Rivera-Ríos, Israel P.; A sparse approach to mixed weak type inequalities Math. Z. (2020), no. 1-2, 787–812.

  • Preprint in Arxiv

• Accomazzo, Natalia;  Martínez-Perales, Javier C.; Rivera-Ríos, Israel P.; On Bloom type estimates for iterated commutators of fractional integrals Indiana Univ. Math. J. 69 (2020), no. 4, 1207–1230. 

  • Preprint in Indiana Univ. of Math. J. 

• Cejas, Maria Eugenia; Li, Kangwei ; Perez, Carlos; Rivera-Ríos, Israel P.; Vector-valued operators, optimal weighted estimates and the Cp condition Sci. China Math. 63 (2020), no. 7, 1339–1368.

  • Preprint in Arxiv

• Criado, Alberto; Pérez, Carlos  Rivera-Ríos, Israel P.;  Sharp Quantitative Weighted BMO Estimates and a New Proof of the Harboure–Macías–Segovia’s Extrapolation Theorem. In: Aldroubi A., Cabrelli C., Jaffard S., Molter U. (eds) New Trends in Applied Harmonic Analysis, Volume 2. Applied and Numerical Harmonic Analysis. Birkhäuser, Cham.

• 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. 

  • Preprint in Arxiv

2019

• Li, Kangwei; Pérez, Carlos; Rivera-Ríos, Israel P.; Roncal, Luz; Weighted norm inequalities for rough singular integral operators  J. Geom. Anal. 29 (2019), no. 3, 2526–2564.

  • Preprint in Arxiv

• Pérez, Carlos; Rivera-Ríos, Israel P.; Roncal, Luz; A1 theory of weights for rough homogeneous singular integrals and commutators Ann. Sc. Norm. Super. Pisa Cl. Sci.  (5) Vol. XIX (2019), 169-190  

  • Preprint in Arxiv

• Lerner, Andrei K.; Ombrosi, Sheldy; Rivera-Ríos, Israel P.; Commutators of singular integrals revisited  Bull. London Math. Soc 51 (2019) 107-119

  • Preprint in Arxiv

2018

• Pérez, Carlos; Rivera-Ríos, Israel P.; A lower bound for Ap exponents for some weighted weak-type inequalities The Journal of Analysis 26 (2018) 191-209

  • Preprint in Arxiv

• Rivera-Ríos, Israel P.; Improved A1−A∞ and related estimates for commutators of rough singular integrals Proceedings of the Edinburgh Mathematical Society, 61(4), (2018) 1069-1086. 

  • Preprint in Arxiv

2017

• Lerner, Andrei K.; Ombrosi, Sheldy; Rivera-Ríos, Israel P.; On pointwise and weighted estimates for commutators of Calderón–Zygmund operators,  Adv. Math. 319 (2017), 153–181. 

  • Preprint in Arxiv

• Pérez, Carlos; Rivera-Ríos, Israel P.; Three observations on commutators of Singular Integral Operators with BMO functions  in "Harmonic Analysis, Partial Differential Equations, Banach Spaces, and Operator Theory (Volume 2). Celebrating Cora Sadosky’s life.", AWM Series 5, Springer International Publishing AG, (2017).

  • Preprint in Arxiv

• Rivera-Ríos, Israel P.; A quantitative approach to weighted Carleson Condition. Concr. Oper. (2017) 4: 58–75

• Pérez, Carlos; Rivera-Ríos, Israel P.; Borderline weighted estimates for commutators of singular integrals. Israel J. Math. 217 (2017), no. 1, 435–475.

  • Preprint in Arxiv

PhD Thesis

I defended my PhD Thesis, elaborated under the supervision of Carlos Pérez and entitled Quantitative weighted estimates for singular integrals and commutators in 2018. It is available in BIRD, BCAM's institutional repository.