In this paper, we intend to define and study concepts of weight and weighted spaces of holomorphic (analytic) functions on the upper half plane. We study two special classes of these spaces of holomorphic functions on the upper half plane. Firstly, we prove these spaces of holomorphic functions on the upper half plane endowed with weighted norm supremum are Banach spaces. Then, we investigate t...

In this paper we introduce a new class of sequence space namely the semi orlicz space of   analytic. It is shown that the intersection of all semi orlicz space of   of analytic is the semi orlicz space of   of analytic. Mathematics Subject Classification: 40A05, 40C05, 40D05

In this volume we study noncommutative domains D f ⊂ B(H) n generated by positive regular free holomorphic functions f on B(H) n , where B(H) is the algebra of all bounded linear operators on a Hilbert space H. Each such a domain has a universal model (W 1 ,. .. , Wn) of weighted shifts acting on the full Fock space with n generators. The study of D f is close related to the study of the weight...

This research aims to accomplish an analytic solution mathematical models involving space-time fractional differential equations in the conformable sense series form through weighted inner product and separation of variables method. The main advantage this method is that various linear problems any kind can be solved by using First, corresponding eigenfunctions are established solving Sturm-Lio...

[1] In the article, “Blood Lead and Other Metal Biomarkers as Risk Factors for Cardiovascular Disease Mortality”, which appeared in Volume 95, Issue 1 ofMedicine, the sentence “Each corrected variable was multiplied by the weighted geometric mean of hematocrit or hemoglobin, respectively, in the analytic sample so that the results for the corrected variables would be comparable to those for who...

Given a pair (G,W ) of an open bounded set G in the complex plane and a weight function W (z) which is analytic and different from zero in G, we consider the problem of the locally uniform approximation of any function f(z), which is analytic in G, by weighted polynomials of the form {Wn(z)Pn(z)}n=0, where deg Pn ≤ n. The main result of this paper is a necessary and sufficient condition for suc...

The description of the reachable states heat equation is one central questions in control theory. aim this work to present new results for 1-D with boundary on segment [0,?]. In situation it known that are holomorphic a square D diagonal which given by most precise obtained recently say space contained between two well spaces analytic functions: Smirnov E2(D) and Bergman A2(D). We show exactly ...

We prove that in a large class of Banach spaces analytic functions the unit disc ⅅ an (unbounded) operator Af = G · f′ + g f with G, generates C0-semigroup weighted composition operators if and only it C0-semigroup. Particular instances such are classical Hardy spaces. Our result generalizes previous results this context is related to cocycles flows on Likewise, for non-separable X contained Bl...