Recent Submissions

  • Discrete Carleman estimates and three balls inequalities 

    Fernández-Bertolin, A.; Roncal, L.Autoridad BCAM; Rüland, A.; Stan, D. (2021-10-16)
    We prove logarithmic convexity estimates and three balls inequalities for discrete magnetic Schrödinger operators. These quantitatively connect the discrete setting in which the unique continuation property fails and 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. ...
  • 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 ...
  • 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 ...
  • Bilinear Spherical Maximal Functions of Product Type 

    Roncal, L.Autoridad BCAM; Shrivastava, S.; Shuin, K. (2021-08-12)
    In this paper we introduce and study a bilinear spherical maximal function of product type in the spirit of bilinear Calderón–Zygmund theory. This operator is different from the bilinear spherical maximal function considered ...
  • Variation bounds for spherical averages 

    Beltran, D.; Oberlin, R.; Roncal, L.Autoridad BCAM; Stovall, B.; Seeger, A. (2021-06-22)
    We consider variation operators for the family of spherical means, with special emphasis on $L^p\to L^q$ estimates
  • Pointwise Convergence over Fractals for Dispersive Equations with Homogeneous Symbol 

    Eceizabarrena, D.; Ponce Vanegas, F.Autoridad BCAM (2021-08-24)
    We study the problem of pointwise convergence for equations of the type $i\hbar\partial_tu + P(D)u = 0$, where the symbol $P$ is real, homogeneous and non-singular. We prove that for initial data $f\in H^s(\mathbb{R}^n)$ ...
  • RESTRICTED TESTING FOR POSITIVE OPERATORS 

    Hytönen, T.; Li, K.; Sawyer, E. (2020)
    We prove that for certain positive operators T, such as the Hardy-Littlewood maximal function and fractional integrals, there is a constant D>1, depending only on the dimension n, such that the two weight norm inequality ...
  • Extensions of the John-Nirenberg theorem and applications 

    Canto, J.; 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 ...
  • Convergence over fractals for the Schrödinger equation 

    Lucà, R.Autoridad BCAM; Ponce Vanegas, F.Autoridad BCAM (2021-01)
    We consider a fractal refinement of the Carleson problem for the Schrödinger equation, that is to identify the minimal regularity needed by the solutions to converge pointwise to their initial data almost everywhere with ...
  • Multilinear operator-valued calderón-zygmund theory 

    Di Plinio, F.; Li, K.; Martikainen, H.; Vuorinen, E. (2020)
    We develop a general theory of multilinear singular integrals with operator- valued kernels, acting on tuples of UMD Banach spaces. This, in particular, involves investigating multilinear variants of the R-boundedness ...
  • End-point estimates, extrapolation for multilinear muckenhoupt classes, and applications 

    Li, K.; Martell, J.M.; Martikainen, H.; Ombrosi, S.; Vuorinen, E. (2019)
    In this paper we present the results announced in the recent work by the first, second, and fourth authors of the current paper concerning Rubio de Francia extrapolation for the so-called multilinear Muckenhoupt classes. ...
  • Generalized Poincaré-Sobolev inequalities 

    Martínez-Perales, J. (2020-12)
    Poincaré-Sobolev inequalities are very powerful tools in mathematical analysis which have been extensively used for the study of differential equations and their validity is intimately related with the geometry of the ...
  • Sparse and weighted estimates for generalized Hörmander operators and commutators 

    Ibañez-Firnkorn, G.H.; Rivera-Ríos, I.P. (2019)
    In this paper a pointwise sparse domination for generalized Ho ̈rmander and also for iterated commutators with those operators is provided generalizing the sparse domination result in [24]. Relying upon that sparse domination ...
  • Multilinear singular integrals on non-commutative lp spaces 

    Di Plinio, F.; Li, K.; Martikainen, H.; Vuorinen, E. (2019)
    We prove Lp bounds for the extensions of standard multilinear Calderón- Zygmund operators to tuples of UMD spaces tied by a natural product structure. The product can, for instance, mean the pointwise product in UMD ...
  • The observational limit of wave packets with noisy measurements 

    Caro, P.; Meroño, C. (2019)
    The authors consider the problem of recovering an observable from certain measurements containing random errors. The observable is given by a pseudodifferential operator while the random errors are generated by a Gaussian ...
  • Scattering with critically-singular and δ-shell potentials 

    Caro, P.; García, A. (2019)
    The authors consider a scattering problem for electric potentials that have a component which is critically singular in the sense of Lebesgue spaces, and a component given by a measure supported on a compact Lipschitz ...
  • Topics in Harmonic Analysis; commutators and directional singular integrals 

    Accomazzo, N. (2020-03-01)
    This dissertation focuses on two main topics: commutators and maximal directional operators. Our first topic will also distinguish between two cases: commutators of singular integral operators and BMO functions and ...
  • Sharp reverse Hölder inequality for Cp weights and applications 

    Canto, J. (2020)
    We prove an appropriate sharp quantitative reverse Hölder inequality for the $C_p$ class of weights fromwhich we obtain as a limiting case the sharp reverse Hölder inequality for the $A_\infty$ class of weights (Hytönen ...
  • A Bilinear Strategy for Calderón’s Problem 

    Ponce Vanegas, F.Autoridad BCAM (2020-05)
    Electrical Impedance Imaging would suffer a serious obstruction if two different conductivities yielded the same measurements of potential and current at the boundary. The Calderón’s problem is to decide whether the ...

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