Lempert theorem for strongly linearly convex domains
نویسندگان
چکیده
منابع مشابه
The Pluricomplex Poisson Kernel for Strongly Convex Domains
In the past decades the study of pluri-potential theory and of its applications played a central role in complex analysis in several variables. In particular, since the basic work of Siciak [31] and Bedford and Taylor [7], [8] a great effort was made to understand the complex MongeAmpère operator and the associated generalized Dirichlet problems (for instance, see [15], [20] and references ther...
متن کاملUpper Bound for the Lempert Function of Smooth Domains
An upper estimate for the Lempert function of any C-smooth bounded domain in C is found in terms of the boundary distance.
متن کاملEgoroff Theorem for Operator-Valued Measures in Locally Convex Cones
In this paper, we define the almost uniform convergence and the almost everywhere convergence for cone-valued functions with respect to an operator valued measure. We prove the Egoroff theorem for Pvalued functions and operator valued measure θ : R → L(P, Q), where R is a σ-ring of subsets of X≠ ∅, (P, V) is a quasi-full locally convex cone and (Q, W) is a locally ...
متن کاملSeparation Theorem for Linearly Constrained
We solve the linearly constrained linear-quadratic LQ and linear-quadratic-Gaussian LQG optimal control problems. Closed form expressions of the optimal controls are derived, and the Separation Theorem is generalized.
متن کاملLinearly convergent away-step conditional gradient for non-strongly convex functions
We consider the problem of minimizing a function, which is the sum of a linear function and a composition of a strongly convex function with a linear transformation, over a compact polyhedral set. Jaggi and Lacoste-Julien [14] showed that the conditional gradient method with away steps employed on the aforementioned problem without the additional linear term has linear rate of convergence, depe...
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: Annales Polonici Mathematici
سال: 2013
ISSN: 0066-2216,1730-6272
DOI: 10.4064/ap107-2-5