Recent results on proton structure functions from H1 and ZEUS Collaborations are presented. The data have been recorded in ep and e−p collisions for both Neutral Current and Charged Current reactions, covering a wide kinematic range of squared four-momentum transfers Q2, from 0.2GeV2 to 30000GeV2, and Bjorken x between ∼5 ∗ 10−6 and 0.65. Data from both experiments have been combined, leading t...

Mice contain at least seven nonallelic forms of the H1 histones, including the somatic variants H1a-e and less closely related variants H1 degrees and H1t. The mouse H1 degrees and H1c (H1var.1) genes were isolated and characterized previously. We have now isolated, sequenced and studied the expression properties of two additional mouse H1 genes, termed H1var.2 and H1var.3. Extensive amino acid...

In this paper, we discuss the H1 L -boundedness of commutators of Riesz transforms associated with the Schrödinger operator L =−4+ V , where H1 L (R n) is the Hardy space associated with L . We assume that V (x) is a nonzero, nonnegative potential which belongs to Bq for some q > n/2. Let T1 = V (x)(−4+ V )−1, T2 = V 1/2(−4+ V )−1/2 and T3 =∇(−4+ V )−1/2. We prove that, for b ∈ BMO(Rn), the com...

Let k ≥ 4, and let H1, H2 be connected graphs with |V (Hi)| ≥ 3 for i = 1, 2. A graph G is said to be {H1, . . . , Hl}-free if none of H1, . . . , Hl is an induced subgraph of G. We prove that if there exists a positive integer n0 such that every {H1, H2}-free graph G with |V (G)| ≥ n0 and δ(G) ≥ 3 contains k vertex-disjoint claws, then {H1, H2} ∩ {K1,t | t ≥ 2} = ∅. Also, we prove that every K...

For the reference triangle or tetrahedron T , we study the stability properties of the L2(T )-projection ΠN onto the space of polynomials of degree N . We show ‖ΠNu‖L2(∂T ) ≤ C‖u‖L2(T )‖u‖H1(T ) and ‖ΠNu‖H1(T ) ≤ C(N + 1)‖u‖H1(T ). This implies optimal convergence rates for the approximation error ‖u−ΠNuu‖L2(∂T ) for all u ∈ Hk(T ), k > 1/2.

We consider a surface Σ of genus g ≥ 3, either closed or with exactly one puncture. The mapping class group Γ of Σ acts symplectically on the abelian moduli space M = Hom(π1(Σ), U(1)) = Hom(H1(Σ), U(1)), and hence both L 2(M) and C(M) are modules over Γ. In this paper, we prove that both the cohomology groups H1(Γ, L2(M)) and H1(Γ,C∞(M)) vanish.

Bachmann, O., T. Sonnentag, W.-K. Siegel, G. Lamprecht, A. Weichert, M. Gregor, and U. Seidler. Different acid secretagogues activate different Na1/H1 exchanger isoforms in rabbit parietal cells. Am. J. Physiol. 275 (Gastrointest. Liver Physiol. 38): G1085–G1093, 1998.—Rabbit parietal cells express three Na1/H1 exchanger isoforms (NHE1, NHE2, and NHE4). We investigated the effects of carbachol,...

In the Drell-Yan process a quark-antiquark pair is annihilated to a virtual photon, which produces lepton pairs. The corresponding cross section contains a contribution from quarks of different chirality: a quark originating from one nucleon may return to this nucleon in the squared scattering amplitude with its chirality flipped. This is possible because the intermediate photon does not rememb...