Which of Abrahim’s Son Was Sacrificed?

The issue of the sacrifice of Abrahim’s son remain an important bone of contention among the followers of Abrahamic religions. The Jews and Christians believe that it is Ishaq while among the Muslims some opine in favour of Ismail while favours Ishaq. To a common man it seems to be not an important issue whether it is Ismail or Ishaq but when its implications are taken into account then it is of great value to Muslims, Jews and Christians that who was sacrificed? Ismail or Ishaq. In the following pages an effort is made to look the issue in the light of some contemporary researches conducted in the Indo-Pak Subcontinent in the first half of the 20th century. Different positions on the issue are evaluated with the Quran and other holy scriptures and in the contemporary western scholarships.

Two–Weight Criteria for Potentials With Product Kernels on the Cone of Non-Increasing Functions

Necessary and sufficient conditions governing one and two weight inequalities for one-sided strong fractional maximal operators, one-sided and Riesz potentials with product kernels are established on the cone of non-increasing functions. From the two– weight results it follows criteria for the trace inequality Lp (Rn ) → Lq (v, Rn ) bound- + + dec edness for these operators, where v, in general, is not product of one-dimensional weights. Various type of two-weight necessary and sufficient conditions for the dis- crete Riemann–Liouville transform with product kernels are also established. The most of the derived two-weight results (continuous and discrete) are new even for potentials with single kernels