Search Results - "Rela, Ezequiel"
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Weighted Inequalities for Fractional Maximal Functions on the Infinite Rooted k-Ary Tree
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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Weighted Estimates for Maximal Functions Associated to Skeletons
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
Self-improving Poincaré-Sobolev type functionals in product spaces
Published in Journal d'analyse mathématique (Jerusalem) (01-04-2023)“…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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Some Non-standard Biparametric Poincaré Type Inequalities Through Harmonic Analysis
Published in The Journal of fourier analysis and applications (01-06-2022)“…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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Maximal operators on the infinite-dimensional torus
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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Furstenberg sets for a fractal set of directions
Published in Proceedings of the American Mathematical Society (01-08-2012)“…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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A new quantitative two weight theorem for the Hardy-Littlewood maximal operator
Published in Proceedings of the American Mathematical Society (01-02-2015)“…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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A note on generalized Fujii-Wilson conditions and BMO spaces
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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Quantitative John–Nirenberg inequalities at different scales
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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Sharp Reverse Hölder property for A∞ weights on spaces of homogeneous type
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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Improved Buckley’s theorem on locally compact abelian groups
Published in Pacific journal of mathematics (18-04-2019)Get full text
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Asymptotically Sharp Reverse Hölder Inequalities for Flat Muckenhoupt Weights
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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13
Asymptotically sharp reverse Hoelder inequalities for flat Muckenhoupt weights
Published in Indiana University mathematics journal (2018)Get full text
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Minimal conditions for BMO
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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15
A tribute to Pola Harboure: Isoperimetric inequalities and the HMS extrapolation theorem
Published in Revista de la Unión Matemática Argentina (1968) (21-09-2023)Get full text
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Small Furstenberg sets
Published in Journal of mathematical analysis and applications (15-04-2013)“…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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Reverse Hölder Property for Strong Weights and General Measures
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
Exponential decay estimates for singular integral operators
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
Improving dimension estimates for Furstenberg-type sets
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
The exact dimension of Liouville numbers: The Fourier side
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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