2 3 Ju l 2 00 9 Hardy ’ s Setup and Elements of Reality

m at h . A P ] 3 1 Ju l 2 00 9 PITT ’ S INEQUALITY AND THE FRACTIONAL LAPLACIAN : SHARP ERROR ESTIMATES for Eli Stein

Abstract. Sharp error estimates in terms of the fractional Laplacian and a weighted Besov norm are obtained for Pitt’s inequality by using the spectral representation with weights for the fractional Laplacian due to Frank, Lieb and Seiringer and the sharp Stein-Weiss inequality. Dilation invariance, group symmetry on a non-unimodular group and a nonlinear Stein-Weiss lemma are used to provide s...

ar X iv : a st ro - p h / 02 07 41 9 v 1 1 9 Ju l 2 00 2 Rarefaction Shocks , Shock Errors and Low Order of Accuracy in ZEUS

h / 03 07 25 3 v 1 2 5 Ju l 2 00 3 Can string bits be supersymmetric ?

We search for the possibility to have supersymmetric string bits at finite discretization J . From a general setup we find that the string bits can be made supersymmetric modulo a single defect mode which is not expected to have any sensible effect in the continuum limit.

- th / 0 30 70 80 v 1 1 9 Ju l 2 00 3 Shell stabilizes nuclear instability : A new phenomenon

Infinite nuclear matter mass model and the relativistic mean field theory show strong evidence of new neutron magic numbers 100, 150, 164; proton magic number 78 and new islands of stability around N=100, Z ≃ 62; N=150, Z=78; and N= 164, Z ≃ 90 in the drip-line regions of nuclear chart. It is shown that shell effect stabilizes here the instability due to nuclear force giving rise to a new pheno...

ar X iv : h ep - t h / 03 02 18 9 v 3 2 3 Ju l 2 00 3 Ring - shaped exact Hopf solitons

The existence of ring-like structures in exact hopfion solutions is shown.