On exponential representations of analytic functions in the upper half-plane with positive imaginary part
نویسندگان
چکیده
منابع مشابه
On Analytic Functions with Positive Imaginary Parts
systems, each of which violates the like-numbered postulate and satisfies all the other postulates of the set. These examples are all arithmetic systems, the elements being the numbers 0 and 1. The symbol/(a , b) (mod 2) in an arithmetic system denotes the least positive residue modulo 2 obtained from /(a , b) by rejecting multiples of 2. The operations + and X are to be interpreted as the oper...
متن کاملA special subspace of weighted spaces of holomorphic functions on the upper half plane
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...
متن کاملA remark on boundedness of composition operators between weighted spaces of holomorphic functions on the upper half-plane
In this paper, we obtain a sucient condition for boundedness of composition operators betweenweighted spaces of holomorphic functions on the upper half-plane whenever our weights are standardanalytic weights, but they don't necessarily satisfy any growth condition.
متن کاملTwo Equivalent Presentations for the Norm of Weighted Spaces of Holomorphic Functions on the Upper Half-plane
Introduction In this paper, we intend to show that without any certain growth condition on the weight function, we always able to present a weighted sup-norm on the upper half plane in terms of weighted sup-norm on the unit disc and supremum of holomorphic functions on the certain lines in the upper half plane. Material and methods We use a certain transform between the unit dick and the uppe...
متن کاملSome properties of analytic functions related with bounded positive real part
In this paper, we define new subclass of analytic functions related with bounded positive real part, and coefficients estimates, duality and neighborhood are considered.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal d'Analyse Mathématique
سال: 1956
ISSN: 0021-7670,1565-8538
DOI: 10.1007/bf02937349