We show the density of smooth Sobolev functions Wk,∞(Ω)∩C∞(Ω) in Orlicz-Sobolev spaces Lk,Ψ(Ω) for bounded simply connected planar domains Ω and doubling Young Ψ.

Let (G,Ω) be a symplectic Lie group, i.e., group endowed with left invariant form. If g is the algebra of G then we call (g,ω=Ω(e))a algebra. The product • on defined by 3ω(x•y,z)=ω([x,y],z)+ω([x,z],y) extends to connection ∇ which torsion free and (∇Ω=0). When has vanishing curvature, (G,Ω)a flat (g,ω)a In this paper, study groups. We start showing that derived ideal degenerate respect ω. show...

objective(s): occludin is essential for proper assembly of tight junctions (tjs) which regulate paracellular endothelial permeability. omega-3 polyunsaturated fatty acids (ω-3 pufa) protect endothelial barrier function against injury. materials and methods: we examined anti-inflammatory effect of ω-3 pufa intake (30 mg/kg/day for 10 days) on expression and location of occludin in the aorta of a...

A new, self-contained, proof of a coherence result for categories equipped with two symmetric monoidal structures bridged by a natural transformation is given. It is shown that this coherence result is sufficient for ω×ω-indexed family of iterated reduced bar constructions based on such a category. Mathematics Subject Classification (2000): 18D10, 55P47

An ideal I over Pκλ is said to be σ-strategically closed, proper or semiproper if the corresponding poset PI is σ-strategically closed, proper or semiproper, respectively. In this note we prove the following: • If there exists a σ-strategically closed, fine and κ-complete ideal over Pω2λ for some λ ≥ ω2 then ♦ω1 holds. • If there exists a proper, fine and κ-complete ideal over Pω2λ for some λ ≥...