مشاركة المسلم في الأعمال السياسية بالبلاد غير الإسلامية وحكمها

In this paper, the question of the participation of the resident Muslim in the foreign countries in politics and its rulings and the statement of some issues that are presented to the Muslim, such as: to elect, run or participate in political parties and other issues related to this topic. And also, tried to study the views of the scholars, and presented them and their attitudes, evidence in them, compared with them. The modern world has witnessed phenomena, which is not hidden to every sane person, which was, the Muslim participation in the political activities in the non-Muslim countries. The importance of this research paper is clear because it reveals the meaning of the political concept in the Holy Quran and prophetic tradition, which made the researcher in the attempt to legalize the matter in this regard and to summarize the statements of ancient and contemporary scholars based on their arguments and evidences. The study concluded That the participation in politics activities non-Muslims societies does not fall within the scope of the doctrine originally, since no one doubts in the doctrine of Muslims that it is not permissible to resort to the tyrant and not to judge except with Allah almighty revealed rules and regulations, and when this doctrine disappears or enter doubt of any act of apostasy and disbelief, which is not satisfied by any sound Muslim at this very moment that falls into haram category. At the end conclusion is drawn from variant views of the scholars, and the main findings and recommendations have been given.

O N the B Oundedness and M Easure of N on - Compactness for M Aximal and P Otential O Perators

The essential norm of maximal and potential operators defined on homogeneous groups is estimated in terms of weights. The same problem is discussed for par- tial sums of Fourier series, Poisson integrals and Sobolev embeddings. In some cases we conclude that there is no a weight pair (v, w) for which the given operator is compact from L pw to L qv . It is proved that the measure of non-compactness of a bounded linear operator from a Banach space into a weighted Lebesgue space with variable parameter is equal to the distance between this operator and the class of finite rank operators. The p(x) essential norm of the Hilbert transform acting from L w p(x) to L v is estimated from below. As a corollary we have that there is no a weight pair (v, w) and a function p from the class of log-H ̈older continuity such that the Hilbert transform is compact p(x) from L w p(x) to L v . Necessary and sufficient conditions on a weight pair (v, w) governing the bound- edness of generalized fractional maximal functions and potentials on the half-space q(x) from L pw (R n ) to L v (R n+1 + ) are derived. As a corollary, we have criteria for the trace inequality for these operators in variable exponent Lebesgue spaces.