Search Results - "Rela, Ezequiel"

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  1. 1

    Weighted Inequalities for Fractional Maximal Functions on the Infinite Rooted k-Ary Tree by Ghosh, Abhishek, Rela, Ezequiel

    Published in The Journal of geometric analysis (2023)
    “…In this article, we introduce the fractional Hardy–Littlewood maximal function on the infinite rooted k -ary tree and study its weighted boundedness. We also…”
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  2. 2

    Weighted Estimates for Maximal Functions Associated to Skeletons by Olivo, Andrea, Rela, Ezequiel

    Published in The Journal of geometric analysis (01-12-2020)
    “…We provide quantitative weighted estimates for the L p ( w ) norm of a maximal operator associated to cube skeletons in R n . The method of proof differs from…”
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  3. 3

    Self-improving Poincaré-Sobolev type functionals in product spaces by Cejas, María Eugenia, Mosquera, Carolina, Pérez, Carlos, Rela, Ezequiel

    “…In this paper we give a geometric condition which ensures that ( q, p )-Poincaré-Sobolev inequalities are implied from generalized (1, 1)-Poincaré inequalities…”
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  4. 4

    Some Non-standard Biparametric Poincaré Type Inequalities Through Harmonic Analysis by Cejas, María Eugenia, Mosquera, Carolina, Pérez, Carlos, Rela, Ezequiel

    “…We show some non-standard Poincaré type estimates in the biparametric setting with appropriate weights. We will derive these results using variants from…”
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  5. 5

    Maximal operators on the infinite-dimensional torus by Kosz, Dariusz, Martínez-Perales, Javier C., Paternostro, Victoria, Rela, Ezequiel, Roncal, Luz

    Published in Mathematische annalen (01-04-2023)
    “…We study maximal operators related to bases on the infinite-dimensional torus T ω . For the normalized Haar measure dx on T ω it is known that M R 0 , the…”
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  6. 6

    Furstenberg sets for a fractal set of directions by MOLTER, URSULA, RELA, EZEQUIEL

    “…In this paper we study the behavior of the size of Furstenberg sets with respect to the size of the set of directions defining it. For any pair \alpha ,\beta…”
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  7. 7

    A new quantitative two weight theorem for the Hardy-Littlewood maximal operator by PÉREZ, CARLOS, RELA, EZEQUIEL

    “…öö proved in those papers. Our results are valid within the context of spaces of homogeneous type without imposing the non-empty annuli condition.]]>…”
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  8. 8

    A note on generalized Fujii-Wilson conditions and BMO spaces by Ombrosi, Sheldy, Pérez, Carlos, Rela, Ezequiel, Rivera-Ríos, Israel P.

    Published in Israel journal of mathematics (01-07-2020)
    “…In this note we generalize the definition of the Fujii-Wilson condition providing quantitative characterizations of some interesting classes of weights, such…”
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  9. 9

    Quantitative John–Nirenberg inequalities at different scales by Martínez-Perales, Javier C., Rela, Ezequiel, Rivera-Ríos, Israel P.

    Published in Revista matemática complutense (01-05-2023)
    “…Given a family Z = { ‖ · ‖ Z Q } of norms or quasi-norms with uniformly bounded triangle inequality constants, where each Q is a cube in R n , we provide an…”
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  10. 10

    Sharp Reverse Hölder property for A∞ weights on spaces of homogeneous type by Hytönen, Tuomas, Pérez, Carlos, Rela, Ezequiel

    Published in Journal of functional analysis (15-12-2012)
    “…In this article we present a new proof of a sharp Reverse Hölder Inequality for A∞ weights. Then we derive two applications: a precise open property of…”
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    Asymptotically Sharp Reverse Hölder Inequalities for Flat Muckenhoupt Weights by Parissis, Ioannis, Rela, Ezequiel

    Published in Indiana University mathematics journal (01-01-2018)
    “…We present reverse Hölder inequalities for Muckenhoupt weights in ℝn with an asymptotically sharp behavior for flat weights, namely, A∞ weights with…”
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    Minimal conditions for BMO by Canto, Javier, Pérez, Carlos, Rela, Ezequiel

    Published in Journal of functional analysis (15-01-2022)
    “…We study minimal integrability conditions via Luxemburg-type expressions with respect to generalized oscillations that imply the membership of a given function…”
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    Small Furstenberg sets by Molter, Ursula, Rela, Ezequiel

    “…For α in (0,1], a subset E of R2 is called a Furstenberg set of type α or Fα-set if for each direction e in the unit circle there is a line segment ℓe in the…”
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  17. 17

    Reverse Hölder Property for Strong Weights and General Measures by Luque, Teresa, Pérez, Carlos, Rela, Ezequiel

    Published in The Journal of geometric analysis (2017)
    “…We present dimension-free reverse Hölder inequalities for strong A p ∗ weights, 1 ≤ p < ∞ . We also provide a proof for the full range of local integrability…”
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  18. 18

    Exponential decay estimates for singular integral operators by Ortiz-Caraballo, Carmen, Pérez, Carlos, Rela, Ezequiel

    Published in Mathematische annalen (01-12-2013)
    “…The following subexponential estimate for commutators is proved where and are absolute constants, is a Calderón–Zygmund operator, is the Hardy Littlewood…”
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  19. 19

    Improving dimension estimates for Furstenberg-type sets by Molter, Ursula, Rela, Ezequiel

    Published in Advances in mathematics (New York. 1965) (30-01-2010)
    “…In this paper we study the problem of estimating the generalized Hausdorff dimension of Furstenberg sets in the plane. For α ∈ ( 0 , 1 ] , a set F in the plane…”
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  20. 20

    The exact dimension of Liouville numbers: The Fourier side by Polasek, Iván, Rela, Ezequiel

    Published 07-08-2024
    “…In this article we study the generalized Fourier dimension of the set of Liouville numbers $\mathbb{L}$. Being a set of zero Hausdorff dimension, the analysis…”
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