Browsing by Author "Aizenberg, L."
Now showing items 1-6 of 6
-
Article
Duality for Hardy Spaces in Domains of ℂn and Some Applications
Aizenberg, L.; Gotlib, V.; Vidras, Alekos (2014)Let Ω ⊂ ℂn be a bounded, strictly convex domain with C3 boundary and Ω̃ be its dual complement. We prove that (Hp(Ω))″ = Hp(Ω̃), where p > 1 and 1/p + 1/q = 1. As an application of the above results we give the precise ...
-
Article
Geometric generalizations in Kresin-Maz'ya sharp real-part theorems
Aizenberg, L.; Vidras, Alekos (2008)In the present article we present some geometric generalizations of the estimates from Chapters 5,6,7 of the monograph [7]. © 2007 Birkhaeuser.
-
Article
On a class of holomorphic functions representable by Carleman formulas in the disk from their values on the arc of the circle
Aizenberg, L.; Vidras, Alekos (2007)Let D be a unit disk and M be an open arc of the unit circle whose Lebesgue measure satisfies 0 < l(M) < 2π Our first result characterizes the restriction of the holomorphic functions f ∈ H(D), which are in the Hardy class ...
-
Article
On Carleman formulas and on the class of holomorphic functions representable by them
Aizenberg, L.; Vidras, Alekos (2002)Carleman formulas, unlike the Cauchy formula, restore a function holomorphic in a domain D by its values on a part M of the boundary ∂D, provided that M is of positive Lebesgue measure. An extensive survey of Carleman ...
-
Article
On small complete sets of functions
Aizenberg, L.; Vidras, Alekos (2000)Using Local Residues and the Duality Principle a multidimensional variation of the completeness theorems by T. Carleman and A. F. Leontiev is proven for the space of holomorphic functions defined on a suitable open strip ...
-
Article
On the Bohr radius for two classes of holomorphic functions
Aizenberg, L.; Vidras, Alekos (2004)Using some multidimensional analogs of the inequalities of E. Landau and F. Wiener for the Taylor coefficients of special classes of holomorphic functions on Reinhardt domains we obtain some estimates for the Bohr radius.