natural light is one kind of light which its main resources are sun and starts. philosophers and researchers believe that spiritual and holy light not only includes material and quantified aspect, but also because of its non-physical properties always treats as a spiritual connector between god and man. light is the main part of existing which not only contacts to the surface of objects, but it...

In this paper, we shall study differential geometric properties of bounded domains in Cn. Here is the summary of our results. We consider an w-dimensional complex manifold M and the Hilbert space of square integrable holomorphic re-forms on M. After Bergman [3; 4; 5], we define the kernel form on M (instead of the kernel function) and, under certain assumptions, we define the invariant metric o...

It is shown that sets of sampling for the Bergman space A2 have the “homogeneous approximation property” (HAP) and that sets with this property are sampling for A 2+E. In addition, previous results concerning the boundary behaviour of sampling sets are improved. ForO<p<oo, the Bergman space AP is the set of functions f analytic in the unit disk D = (2 : 1.~1 < 1) with where dA denotes Lebesgue ...

If A is a unital weak-∗ closed subalgebra of a multiplier algebra on a reproducing kernel Hilbert space which has property A1(1), then the cyclic invariant subspaces provide an Nevanlinna-Pick (NP) family of kernels. This yields an NP interpolation theorem for a wide class of operator algebras. In particular, it applies to many kernel spaces over the unit disk including the Bergman space. We al...