Diana Marcela Pérez Valencia

PhD Student

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Information of interest

  • Borderline Weighted Estimates for Commutators of Singular Integrals 

    Pérez, C.Autoridad BCAM; Rivera-Ríos, I.P. (2016-07-01)
    In this paper we establish the following estimate \[ w\left(\left\{ x\in\mathbb{R}^{n}\,:\,\left|[b,T]f(x)\right| > \lambda\right\} \right)\leq \frac{c_{T}}{\varepsilon^{2}}\int_{\mathbb{R}^{n}}\Phi\left(\|b\|_{BMO}\f ...
  • Degenerate Poincare-Sobolev inequalities 

    Pérez, C.Autoridad BCAM; Rela, E. (2021)
    Abstract. We study weighted Poincar ́e and Poincar ́e-Sobolev type in- equalities with an explicit analysis on the dependence on the Ap con- stants of the involved weights. We obtain inequalities of the form with different ...
  • Extensions of the John-Nirenberg theorem and applications 

    Canto, J.Autoridad BCAM; Pérez, C.Autoridad BCAM (2021)
    The John–Nirenberg theorem states that functions of bounded mean oscillation are exponentially integrable. In this article we give two extensions of this theorem. The first one relates the dyadic maximal function to the ...
  • A note on generalized Fujii-Wilson conditions and BMO spaces 

    Ombrosi, S.; Pérez, C.Autoridad BCAM; Rela, E.; Rivera-Ríos, I. (2020-07-01)
    In this note we generalize the definition of the Fujii-Wilson condition providing quantitative characterizations of some interesting classes of weights, such as A∞, A∞weak and Cp, in terms of BMO type spaces suited to them. ...
  • A note on the off-diagonal Muckenhoupt-Wheeden conjecture 

    Cruz-Uribe, D.; Martell, J.M.; Pérez, C.Autoridad BCAM (2016-07-01)
    We obtain the off-diagonal Muckenhoupt-Wheeden conjecture for Calderón-Zygmund operators. Namely, given $1 < p < q < \infty$ and a pair of weights $(u; v)$, if the Hardy-Littlewood maximal function satisfies the following ...
  • Regularity of maximal functions on Hardy–Sobolev spaces 

    Pérez, C.Autoridad BCAM; Picón, T.; Saari, Olli; Sousa, Mateus (2018-12-01)
    We prove that maximal operators of convolution type associated to smooth kernels are bounded in the homogeneous Hardy–Sobolev spaces H1,p(Rd) when p > d/(d + 1). This range of exponents is sharp. As a by-product of the ...
  • Reverse Hölder Property for Strong Weights and General Measures 

    Luque, T.; Pérez, C.Autoridad BCAM; Rela, E. (2016-06-30)
    We present dimension-free reverse Hölder inequalities for strong $A^{\ast}_p$ weights, $1 \le p < \infty$. We also provide a proof for the full range of local integrability of $A^{\ast}_1$ weights. The common ingredient ...
  • Weighted norm inequalities for rough singular integral operators 

    Li, K.; Pérez, C.Autoridad BCAM; Rivera-Ríos, I.P.; Roncal, L.Autoridad BCAM (2018-08-17)
    In this paper we provide weighted estimates for rough operators, including rough homogeneous singular integrals $T_\Omega$ with $\Omega\in L^\infty(\mathbb{S}^{n-1})$ and the Bochner--Riesz multiplier at the critical index ...

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