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 ...

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.

The most beautiful mathematics to Godfrey Harold Hardy was that which had no application. For Hardy, mathematics was purely for intellectual challenge. He justified the pursuit of pure mathematics with the argument that its very “uselessness” meant that it could not be used to cause harm. Hardy went so far as to describe applied mathematics as “ugly”, “trivial”, and “dull” [1]. Despite Hardy’s ...

The definition of classical holomorphic function spaces such as the Hardy space or Dirichlet on Hartogs triangle is not canonical. In this paper we introduce a natural family which includes some weighted Bergman spaces, candidate and space. For study L p mapping properties Szeg? projection respectively, whereas for prove it isometric to bidisc.

We consider approximation of L p functions by Hardy functions on subsets of the circle. We rst derive some properties of traces of Hardy classes on such subsets, and then turn to a generalization of classical extremal problems involving norm constraints on the complementary subset. Approximation dans l'espace de Hardy de fonctions L p sur un sous{ensemble du cercle R esum e : Nous etudions l'ap...

Let Ω be a strongly Lipschitz domain of Rn. Consider an elliptic second order divergence operator L (including a boundary condition on ∂Ω) and define a Hardy space by imposing the non-tangential maximal function of the extension of a function f via the Poisson semigroup for L to be in L1. Under suitable assumptions on L, we identify this maximal Hardy space with atomic Hardy spaces, namely with...

We give a systematic study on the Hardy spaces of functions with values in the non-commutative L-spaces associated with a semifinite von Neumann algebra M. This is motivated by the works on matrix valued Harmonic Analysis (operator weighted norm inequalities, operator Hilbert transform), and on the other hand, by the recent development on the non-commutative martingale inequalities. Our non-com...