Reconstruction of linear functionals on classes of analytic functions of two variables on the basis of generalized information

1993 ◽  
Vol 45 (1) ◽  
pp. 33-39
Author(s):  
S. B. Vakarchuk
Keyword(s):  
Analytic Functions ◽  
Linear Functionals ◽  
Functions Of Two Variables ◽  
Generalized Information

H(ϕ) Spaces

1986 ◽  
Vol 29 (3) ◽  
pp. 295-301 ◽  
Author(s):  
W. Deeb ◽  
M. Marzuq
Keyword(s):  
Unit Disk ◽  
Analytic Functions ◽  
Continuous Linear ◽  
Linear Functionals ◽  
Almost Everywhere ◽  
Subadditive Function

AbstractLet ψ be a non-decreasing continuous subadditive function defined on [0, ∞) and satisfy ψ(x) = 0 if and only if x = 0. The space H(ψ) is defined as the set of analytic functions in the unit disk which satisfyand the space H+ (ψ) is the space of a f ∊ H(ψ) for whichwhere almost everywhere.In this paper we study the H(ψ) spaces and characterize the continuous linear functionals on H+ (ψ).

scholarly journals Linear functionals on some weighted Bergman spaces

1990 ◽  
Vol 42 (3) ◽  
pp. 417-425 ◽  
Author(s):  
Maher M.H. Marzuq
Keyword(s):  
Bergman Space ◽  
Analytic Functions ◽  
Unit Disc ◽  
Bergman Spaces ◽  
Weighted Bergman Space ◽  
Weighted Bergman Spaces ◽  
Linear Functionals

The weighted Bergman space Ap, α, 0 < p < 1, a > −1 of analytic functions on the unit disc Δ in C is an F-space. We determine the dual of Ap, α explicitly.

scholarly journals Banach spaces of functions analytic in a polydisc

1986 ◽  
Vol 9 (1) ◽  
pp. 39-46
Author(s):  
Leon M. Hall
Keyword(s):  
Banach Space ◽  
Banach Spaces ◽  
Analytic Functions ◽  
Hadamard Product ◽  
Complex Variables ◽  
Several Complex Variables ◽  
Open Unit ◽  
Linear Functionals

This paper is concerned with functions of several complex variables analytic in the unit polydisc. Certain Banach spaces to which these functions might belong are defined and some relationships between them are developed. The space of linear functionals for the Banach space of functions analytic in the open unit polydisc and continuous on the unit torus is then described in terms of analytic functions using an extension of the Hadamard product.

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