In the early 1990s, Richard (Randy) Hardy and colleagues divided B cell precursors into subpopulations--the Hardy fractions--based on the cells' expression of various cell surface proteins. This classification helped lay the groundwork for our present-day understanding of the molecular events that control early B cell development.

An alternative interpretation of a family of weighted Carleson measures is used to characterize p-Carleson measures for a class of Hardy-Orlicz spaces admitting a nice weak factorization. As an application, we provide with a characterization of symbols of bounded weighted composition operators and Cesàro-type integral operators from these Hardy-Orlicz spaces to some classical holomorphic functi...

For assessment of genetic association between single-nucleotide polymorphisms (SNPs) and disease status, the logistic-regression model or generalized linear model is typically employed. However, testing for deviation from Hardy-Weinberg proportion in a patient group could be another approach for genetic-association studies. The Hardy-Weinberg proportion is one of the most important principles i...

In genetic association studies, tests for Hardy-Weinberg proportions are often employed as a quality control checking procedure. Missing genotypes are typically discarded prior to testing. In this paper we show that inference for Hardy-Weinberg proportions can be biased when missing values are discarded. We propose to use multiple imputation of missing values in order to improve inference for H...

A general summability method of different orthogonal series is given with the help of an integrable function θ. As special cases the trigonometric Fourier, Walsh-, Walsh-Kaczmarz-, Vilenkinand Ciesielski-Fourier series and the Fourier transforms are considered. For each orthonormal system a different Hardy space is introduced and the atomic decomposition of these Hardy spaces are presented. A s...

Although many people suffer physical and mental health decrements following exposure to stress, many others show remarkable resilience, remaining healthy despite high stress levels. If the factors that account for resilience can be clearly identified and understood, perhaps resilience can be enhanced even for those most vulnerable to stress. One potential pathway to resilience is personality ha...

In this paper, we study Hardy–Sobolev inequalities on hypersurfaces of [Formula: see text], all them involving a mean curvature term and having universal constants independent the hypersurface. We first consider celebrated Sobolev inequality Michael–Simon Allard, in our codimension one framework. Using their ideas, but simplifying presentations, give quick easy-to-read proof inequality. Next, e...