Universidad Carlos III de Madrid

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19922026

most citedSubgraph Centrality in Complex Networks

1.3k citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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110 papers · 1 filter

math.CA2026

Asymptotic for orthogonal polynomials with respect to a rational modification of a measure supported on the semi-axis

C. Féliz-Sánchez, H. Pijeira-Cabrera, J. Quintero-Roba

Given a sequence of orthogonal polynomials ${L_{n}}_{n = 0}^{\infty}$ , orthogonal with respect to a positive Borel $ν$ measure supported on $R_{+}$ , let ${Q_{n}}_{n = 0}^{\infty}$ b…

math.CA2024★ 2 cited

Stability of the concentration inequality on polynomials

María Ángeles García-Ferrero, Joaquim Ortega-Cerdà

In this paper, we study the stability of the concentration inequality for one-dimensional complex polynomials. We provide the stability of the local concentration inequality and a…

math.CA2024★ 1 cited

Multiple q-Kravchuk polynomials

J. Arvesú, A. M. Ramírez-Aberasturis

We study a family of type II multiple orthogonal polynomials. We consider orthogonality conditions with respect to a vector measure, in which each component is a q-analogue of the…

math.CA2023★ 4 cited

Differential properties of Jacobi-Sobolev polynomials and electrostatic interpretation

Héctor Pijeira-Cabrera, Javier Quintero-Roba, Juan Toribio-Milane

We study the sequence of monic polynomials ${S_{n}}_{n ⩾ 0}$ , orthogonal with respect to the Jacobi-Sobolev inner {product} \;$$ \langle f,g\rangle_{\mathsf{s}}= \int_{-1}^{…

math.CA2023★ 2 cited

Sequentially-ordered Sobolev inner product and Laguerre-Sobolev polynomials

Abel Díaz-González, Juan Hernández, Héctor Pijeira-Cabrera

We study the sequence of polynomials ${S_{n}}_{n \geq 0}$ that are orthogonal with respect to the general discrete Sobolev-type inner product $$ \langle f,g \rangle_{\mathsf{s}}=\!\…

math.CA2023★ 1 cited

A compact extension of Journé's $T 1$ theorem on product spaces

Mingming Cao, Kôzô Yabuta, Dachun Yang

We prove a compact version of the $T 1$ theorem for bi-parameter singular integrals. That is, if a bi-parameter singular integral operator $T$ admits the compact full and partial ke…

math.CA2023★ 4 cited

On the Riemann-Hilbert approach to asymptotics of tronquée solutions of Painlevé I

Alfredo Deaño

In this paper, we revisit large variable asymptotic expansions of tronquée solutions of the Painlevé I equation, obtained via the Riemann-Hilbert approach and the method of steepes…

math.CA2022★ 3 cited

On orthogonal polynomials with respect to a class of differential operators

Jorge A. Borrego-Morell

We consider orthogonal polynomials with respect to a linear differential operator $L^{(M)} = k = 0 \sum M ρ_{k} (z) \frac{d ^{k}}{d z ^{k}},$ where ${ρ_{k}}_{k = 0}^{M}$ are compl…

math.CA2022★ 20 cited

A class of multilinear bounded oscillation operators on measure spaces and applications

Mingming Cao, Gonzalo Ibañez-Firnkorn, Israel P. Rivera-Ríos +2

In this paper, we develop a comprehensive weighted theory for a class of Banach-valued multilinear bounded oscillation operators on measure spaces, which merges multilinear Calderó…

math.CA2022★ 1 cited

The $CMO$ -Dirichlet problem for elliptic systems in the upper half-space

Mingming Cao

We prove that for any second-order, homogeneous, $N \times N$ elliptic system $L$ with constant complex coefficients in $R^{n}$ , the Dirichlet problem in $R_{+}^{n}$ wi…

math.CA2021★ 3 cited

Two-weight extrapolation on function spaces and applications

Mingming Cao, Andrea Olivo

This paper is devoted to studying the extrapolation theory of Rubio de Francia on general function spaces. We present endpoint extrapolation results including $A_{1}$ , $A_{p}$ , and $A_…

math.CA2020★ 3 cited

VMO spaces associated with Neumann Laplacian

Mingming Cao, Kôzô Yabuta

In this paper, we establish several different characterizations of the vanishing mean oscillation space associated with Neumann Laplacian $Δ_{N}$ , written ${\rm VMO}_{Δ_N}(\mathbb{R}…

math.CA2020

Interlacing of zeros of Laguerre polynomials of equal and consecutive degree

J. Arvesú, K. Driver, L. Littlejohn

We investigate interlacing properties of zeros of Laguerre polynomials $L_{n}^{(α)} (x)$ and $L_{n + 1}^{(α + k)} (x),$ $α > - 1,$ where $n \in N$ and $k \in {1, 2}$ . W…

math.CA2020★ 6 cited

Zeros of Jacobi and Ultraspherical polynomials

J. Arvesú, K. Driver, L. Littlejohn

Suppose ${P_{n}^{(α, β)} (x)}_{n = 0}^{\infty}$ is a sequence of Jacobi polynomials with $α, β > - 1.$ We discuss special cases of a question raised by Alan Sokal at OPSFA in 2019, nam…

math.CA2020

Multilinear Littlewood-Paley-Stein Operators on Non-homogeneous Spaces

Mingming Cao, Qingying Xue

Let $κ \geq 2, λ > 1$ and define the multilinear Littlewood-Paley-Stein operators by $$g_{λ,μ}^*(\vec{f})(x) = \bigg(\iint_{\mathbb{R}^{n+1}_{+}} \vartheta_t(x, y) \bigg|\int_{\mathbb…

math.CA2019★ 16 cited

Perturbations of elliptic operators in 1-sided chord-arc domains. Part II: Non-symmetric operators and Carleson measure estimates

Juan Cavero, Steve Hofmann, José María Martell +1

We generalize to the setting of 1-sided chord-arc domains, that is, to domains satisfying the interior Corkscrew and Harnack Chain conditions (these are respectively scale-invarian…

math.CA2019★ 7 cited

Ladder relations for a class of matrix valued orthogonal polynomials

Alfredo Deaño, Bruno Eijsvoogel, Pablo Román

Using the theory introduced by Casper and Yakimov, we investigate the structure of algebras of differential and difference operators acting on matrix valued orthogonal polynomials…

math.CA2019★ 58 cited

Harmonic measure and quantitative connectivity: geometric characterization of the $L^{p}$ -solvability of the Dirichlet problem

Jonas Azzam, Steve Hofmann, José María Martell +2

It is well-known that quantitative, scale invariant absolute continuity (more precisely, the weak- $A_{\infty}$ property) of harmonic measure with respect to surface measure, on the b…

math.CA2019★ 2 cited

On the asymptotics of the rescaled Appell polynomials

J. Fernando Barbero G, Jesús Salas, Eduardo J. S. Villaseñor

We introduce a new representation for the rescaled Appell polynomials and use it to obtain asymptotic expansions to arbitrary order. This representation consists of a finite sum an…

math.CA2019★ 26 cited

End-point estimates, extrapolation for multilinear Muckenhoupt classes, and applications

Kangwei Li, José María Martell, Henri Martikainen +2

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…

math.CA2018

Variations on the Boman covering lemma

J. M. Aldaz

We explore some variants of the Boman covering lemma, and their relationship to the boundedness properties of the maximal operator. Let $1 < p < \infty$ and let $q$ be its conjugat…

math.CA2018

Kissing numbers and the centered maximal operator

J. M. Aldaz

We prove that in a metric measure space $X$ , if for some $p \in (1, \infty)$ there are uniform bounds (independent of the measure) for the weak type $(p, p)$ of the centered maximal…

math.CA2018★ 2 cited

The least doubling constant of a metric measure space

Javier Soria, Pedro Tradacete

We study the least doubling constant $C_{(X, d)}$ , among all doubling measures $μ$ supported on a metric space $(X, d)$ . In particular, we prove that for every metric space with more…

math.CA2018★ 50 cited

Extrapolation for multilinear Muckenhoupt classes and applications to the bilinear Hilbert transform

Kangwei Li, José María Martell, Sheldy Ombrosi

In this paper we solve a long standing problem about the multivariable Rubio de Francia extrapolation theorem for the multilinear Muckenhoupt classes $A_{p}$ , which were exte…