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Multi-Parameter Hardy Spaces Theory and Endpoint Estimates for Multi-Parameter Singular Integrals
The main purpose of this paper is to establish the theory of the multi-parameter Hardy spaces
More precisely, Street (2014) studied the
eBook
Information and action : using variables
\"This book demonstrates how we organize information and objects in our daily lives and how these real-world examples can shed light on how computer programs work\"--Amazon.com.
Book
Elliptic Theory for Sets with Higher Co-dimensional Boundaries
Many geometric and analytic properties of sets hinge on the properties of elliptic measure, notoriously missing for sets of higher
co-dimension. The aim of this manuscript is to develop a version of elliptic theory, associated to a linear PDE, which ultimately yields
a notion analogous to that of the harmonic measure, for sets of codimension higher than 1.
To this end, we turn to degenerate
elliptic equations. Let
In another article to appear, we will prove that when
eBook
Maximal Functions, Littlewood–Paley Theory, Riesz Transforms and Atomic Decomposition in the Multi-parameter Flag Setting
In this paper, we develop via real variable methods various characterisations of the Hardy spaces in the multi-parameter flag
setting. These characterisations include those via, the non-tangential and radial maximal function, the Littlewood–Paley square function
and area integral, Riesz transforms and the atomic decomposition in the multi-parameter flag setting. The novel ingredients in this
paper include (1) establishing appropriate discrete Calderón reproducing formulae in the flag setting and a version of the
Plancherel–Pólya inequalities for flag quadratic forms; (2) introducing the maximal function and area function via flag Poisson kernels
and flag version of harmonic functions; (3) developing an atomic decomposition via the finite speed propagation and area function in
terms of flag heat semigroups. As a consequence of these real variable methods, we obtain the full characterisations of the
multi-parameter Hardy space with the flag structure.
eBook
The Drunkard's walk : how randomness rules our lives
An irreverent look at how randomness influences our lives, and how our successes and failures are far more dependent on chance events than we recognize.
Book
Correción de errores: ‘Estatus Socioeconómico, Capital Cultural y Capital Social en Adultos’ Psicothema 34(1) pág- 74-83
DOI:https://doi.org/10.7334/psicothema2023.193Text: This article was originally published with errors, which have now been corrected in the online version:1. The investigated alternative models have now been described more clearly. The method for comparing them with the original model has been correctly specified based only on Akaike’s Information Criterion (AIC) and not on the delta Comparative Fit Index, given that the models are not nested. 2. The formula for computing the critical value to which comparing the Mardia’s index for verifying if the data are multivariate normally distributed is equal to k(k+2) and not, as previously written, equal to k(k+1). 3. We have now specified that, in the Structural Equation Model, the correlations introduced between the dependent variables are correlations between the unexplained variance and thus may be described as partial correlations. 4. Finally, we have corrected the direction of the arrows of the lines from Participating, Consuming, and Expert Using observed variables toward the corresponding Cultural Capital latent variable and from Bonding and Bridging observed variables toward the corresponding social capital latent variable. DOI of original article:(https://doi.org/10.7334/ psicothema2021.231)
Journal Article
Fooled by randomness : the hidden role of chance in life and in the markets
This is a book about luck. More specifically, it is a book about how we perceive luck, twist it around and regard it as intention or purpose.
Book
EL EFECTO DE LA EDAD RELATIVA EN EL HOCKEY PATINES DE ALTO NIVEL EN ESPAÑA
The influence of athletes' birth distribution across different year periods on sports performance is called the relative age effect. The present research aims to identify this bias in the top male and female national rink hockey competitions in Spain, as well as to assess this effect on variables such as level of competition, gender, position on the court, nationality, team standings, individual performance (goals scored), and international player status. The relative age of athletes in the first and second top Spanish national male (n = 499) and female (n = 358) competitions in the 2022-23 season is analysed. The results reveal the absence of a relative age effect in any of the analysed variables, indicating the independence of this variable from gender and competitive level. The nature of the sport, its organization, and the competitive structure designed in rink hockey indicate that athletes achieving higher performance are not selected based on maturational status of a biological nature.
Journal Article