2 ∥∥∥(x∗ − x̃) + σ n z̃− δ∥∥2l2 s.t. δ ∈ C − x̃. Letting R1 and R2 denote orthogonal subspaces that contain Q1 and Q2, i.e., Q1 ⊆ R1 and Q2 ⊆ R2, and letting δ = PR1(δ), δ (2) = PR2(δ), δ̂ (1) n (C) = PR1(δ̂n(C)), δ̂ (2) n (C) = PR2(δ̂n(C)) denote the projections of δ, δ̂n(C) onto R1, R2, we can rewrite the above reformulated optimization problem as: [ δ̂ (1) n (C), δ̂ (2) n (C) ] = arg min δ∈Q1,δ∈Q2 1 2...

ν = q · P M = E − E′ is the lepton’s energy loss in the nucleon rest frame (in earlier literature sometimes ν = q · P ). Here, E and E′ are the initial and final lepton energies in the nucleon rest frame. Q2 = −q2 = 2(EE′−−→k · −→k ′)−m2 −m2 ′ where m (m ′) is the initial (final) lepton mass. If EE′ sin2(θ/2) m2 , m2 ′ , then ≈ 4EE′ sin2(θ/2), where θ is the lepton’s scattering angle with respe...

The authors prove that bilinear operators given by finite sums of products of Calderón-Zygmund operators on Rn are bounded from HK̇11 q1 × HK̇ α2,p2 q2 into HK̇ q if and only if they have vanishing moments up to a certain order dictated by the target space. Here HK̇ q are homogeneous Herz-type Hardy spaces with 1/p = 1/p1 +1/p2, 0 < pi ≤ ∞, 1/q = 1/q1 +1/q2, 1 < q1, q2 < ∞, 1 ≤ q < ∞, α = α1 + α2 a...

Knowledge of the electromagnetic structure of hadrons is still far from complete. In this context the experimental study of the electromagnetic form factors (FF) of nucleons is of great importance. At small q2 we get information on charge distribution and magnetization current within the nucleon, while at high q2 form factors probe the valence quark distribution functions. Measurements of form ...

The average multiplicity at large w (w w s/Q2 + I) is Abstract in deep inelastic electro-and neutrinoproduction related in Feynman's version of the parton model to the average multiplicities in high-energy electron-positron annihilation and hadron-hadron scattering. The relation is: (n(s,Q2)'ep-Ce+e-Jn(Q2/$) + ChBn(o-1) VP where C e+e-and Ch are, respectively, the coefficients of en(s/Myi) in t...

ν = q · P M = E − E′ is the lepton’s energy loss in the nucleon rest frame (in earlier literature sometimes ν = q · P ). Here, E and E′ are the initial and final lepton energies in the nucleon rest frame. Q2 = −q2 = 2(EE′−−→k · −→k ′)−m2 −m2 ′ where m (m ′) is the initial (final) lepton mass. If EE′ sin2(θ/2) m2 , m2 ′ , then ≈ 4EE′ sin2(θ/2), where θ is the lepton’s scattering angle with respe...

We investigate the electromagnetic form factors of the ρ meson in light cone QCD sum rules. We find that the ratio of the magnetic and charge form factors is larger than two at all values of Q2, (Q2 ≥ 0.5 GeV 2). The values of the individual form factors at fixed values of Q2 predicted by the light cone QCD sum rules are quite different compared to the results of other approaches. These results...

HERA, the electron-proton collider, enables to probe the proton with a high resolving power due to the deep inelastic scattering reactions at high Q2 values. In the low Q2 region, one can study the properties of the photon. The large fraction of diffractive events found both in the low and high Q2 region allows the study of the Pomeron. A review of what we have learned from HERA so far about th...

Preliminary results1 on a measurement of the proton structure function F2(x,Q 2) are reported for momentum transfers squared Q2 between 1.5 GeV2 and 5000 GeV2 and for Bjorken x between 5 · 10−5 and 0.32, using data collected by the HERA experiments H1 and ZEUS in 1994. F2 increases significantly with decreasing x, even in the lowest reachable Q2 region. The data are well described by a Next to ...