Bounded Hadamard products of $H\sp{p}$ functions
โ Scribed by Caveny, James
- Book ID
- 121682577
- Publisher
- Duke University Press
- Year
- 1966
- Tongue
- English
- Weight
- 508 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0012-7094
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
A function q ( z ) is said to be convex if it is a univalent conformal mapping of the unit disk 1x1 -= 1, hereafter called U , onto a convex domain. The HADAMARD product or convolution of two power series f ( 2 ) : = anzn and g(x) : = b,znis defined as the power series (f\*g) ( x ) : = anb,xn. The f
Let T T n be the class of functions with negative coefficients which are analytic ลฝ . ลฝ . ลฝ . in the unit disk U U. For functions f z and f z belonging to T T n , generaliza-1 2 ลฝ . ลฝ . ลฝ .ลฝ . tions of the Hadamard product of f z and f z represented by f ^f p,q; z 1 2 1 2 are introduced. In the pres