OBJECTIVES Assessment of the Hardy-Weinberg proportion (HWP) in controls has been widely used as a quality control measure in case-control association studies. However, when the disease being studied is common, controls might not represent the general population, which could result in inaccurate HWP test results. Such results could lead investigators to discard important single-nucleotide polym...

Let T be a Calderon-Zygmund operator, a classical result of Coifman, Rochberg and Weiss (see [7]) states that the commutator [b, T ] = T (bf)−bTf (where b ∈ BMO(Rn)) is bounded on Lp(Rn) for 1 < p < ∞; Chanillo (see [2]) proves a similar result when T is replaced by the fractional integral operator. However, it was observed that [b, T ] is not bounded, in general, from Hp(Rn) to Lp(Rn) for p ≤ ...

We give necessary and sufficient conditions on a pair of positive radial functions V and W on a ball B of radius R in R, n ≥ 1, so that the following inequalities hold for all u ∈ C 0 (B):

Seven new species of Euphranta Loew are described, viz., Euphranta dysoxyli David, sp. nov., E. hyalipennis David & Freidberg, sp. nov, E. diffusa David, sp. nov., E. haldwanica Hancock & Goodger, sp. nov. and E. thandikudi David, sp. nov. from India; E. neochrysopila David, Freidberg, Hancock & Goodger, sp. nov. from Sri Lanka and E. ridleyi Hancock & Goodger, sp. nov. from Singapore. Notes ar...

This paper concerns the description of holomorphic extensions of algebraic number fields. After expanding the notion of adele class group to number fields of infinite degree over Q, a hyperbolized adele class group ŜK is assigned to every number field K/Q. The projectivization of the Hardy space PH•[K] of graded-holomorphic functions on ŜK possesses two operations ⊕ and ⊗ giving it the structur...

stearoyl-coa desaturase (scd) is a rate-limiting enzyme in the biosynthesis of monounsaturated fatty acids (mufa). a number of studies support the hypothesis that scd gene regulation and polymorphism may affect fatty acid composition and fat quality in meat and milk. single nucleotide polymorphisms in the coding region of the bovine stearoyl-coa desaturase gene have been predicted to result in ...

Weighted norm inequalities for maximal truncated operators of multilinear singular integrals with non-smooth kernels in the sense of Duong, Grafakos, and Yan are obtained; this class of operators extends the class of multilinear CalderónZygmund operators introduced by Coifman and Meyer and includes the higher order commutators of Calderón. The weighted norm inequalities obtained in this work ar...

In this paper, we define generalized Hardy-Berndt sums and elliptic analogue of the generalized Hardy-Berndt sums related to elliptic Bernoulli polynomials. We give relations between the Weierstrass ℘(z)-function, Hardy-Bernd sums, theta functions and generalized Dedekind eta function. 2000 Mathematical Subject Classification: Primary 11F20, 11B68; Secondary 14K25, 14H42.