Article
Licensed
Unlicensed
Requires Authentication
Integral Representations and Continuous Projectors in Some Spaces of Analytic and Pluriharmonic Functions
-
Gigla Oniani
Published/Copyright:
March 11, 2010
Abstract
We consider analytic and pluriharmonic functions belonging to the classes ๐ต๐(ฮฉ) and ๐๐(ฮฉ) and defined in the ball . The theorems established in the paper make it possible to obtain some integral representations of functions of the above-mentioned classes. The existence of bounded projectors from the space ๐ฟ(ฯ, ฮฉ) into the space ๐ต๐(ฮฉ) and from the space ๐ฟ(ฯ, ฮฉ) into the space ๐๐(ฮฉ) is proved. Also, consideration is given to the existence of boundary values of fractional integrals of functions of the spaces ๐ต๐(ฮฉ) and ๐๐(ฮฉ).
Key words and phrases:: Integral representation; continuous projector; pluriharmonic function; Bergmann class; ๐พ-limit; fractional integral
Received: 2007-11-16
Published Online: 2010-03-11
Published in Print: 2008-December
ยฉ Heldermann Verlag
You are currently not able to access this content.
You are currently not able to access this content.
Articles in the same Issue
- On Iterative Combination of Modified Bernstein-Type Polynomials
- On Dynamical Three-Dimensional Fluid-Solid Interaction Problem
- Existence and Uniqueness of Weak Solution for a Class of Elliptic Reaction-Diffusion Systems
- Existence of Solutions in Weighted Sobolev Spaces for Some Degenerate Quasilinear Elliptic Equations
- Periodic Solutions for Nonlinear Differential Equation with Functional Delay
- Restriction Theorems for Anisotropically Homogeneous Hypersurfaces of
- Dual Variational Method for a Fourth Order Dirichlet Problem
- On Some Combinatorial Problems Concerning Geometrical Realizations of Finite and Infinite Families of Sets
- BeurlingโBorg Type Theorem for Two-Dimensional Linear Differential Systems
- The Maximal Operator in Weighted Variable Exponent Spaces on Metric Spaces
- Sequential Detection of Drift Change for Brownian Motion with Unknown Sign
- Uniqueness for Meromorphic Functions Concerning Differential Polynomials
- Integral Representations and Continuous Projectors in Some Spaces of Analytic and Pluriharmonic Functions
- On One Problem with the Condition at Infinity for Second Order Singular Ordinary Differential Equations
- Rectifiable and Unrectifiable Oscillations for a Generalization of the RiemannโWeber Version of Euler Differential Equation
- Compact Composition Operators on Generalized Hardy Spaces
- CLT for Operator Abel Sums of Random Elements
- On the Dirichlet Problem for a Second Order Elliptic System with Degeneration on the Whole Boundary of a Multidimensional Domain
- A Note on Conjugacy Classes of Finite Groups
Keywords for this article
Integral representation;
continuous projector;
pluriharmonic function;
Bergmann class;
๐พ-limit;
fractional integral
Articles in the same Issue
- On Iterative Combination of Modified Bernstein-Type Polynomials
- On Dynamical Three-Dimensional Fluid-Solid Interaction Problem
- Existence and Uniqueness of Weak Solution for a Class of Elliptic Reaction-Diffusion Systems
- Existence of Solutions in Weighted Sobolev Spaces for Some Degenerate Quasilinear Elliptic Equations
- Periodic Solutions for Nonlinear Differential Equation with Functional Delay
- Restriction Theorems for Anisotropically Homogeneous Hypersurfaces of
- Dual Variational Method for a Fourth Order Dirichlet Problem
- On Some Combinatorial Problems Concerning Geometrical Realizations of Finite and Infinite Families of Sets
- BeurlingโBorg Type Theorem for Two-Dimensional Linear Differential Systems
- The Maximal Operator in Weighted Variable Exponent Spaces on Metric Spaces
- Sequential Detection of Drift Change for Brownian Motion with Unknown Sign
- Uniqueness for Meromorphic Functions Concerning Differential Polynomials
- Integral Representations and Continuous Projectors in Some Spaces of Analytic and Pluriharmonic Functions
- On One Problem with the Condition at Infinity for Second Order Singular Ordinary Differential Equations
- Rectifiable and Unrectifiable Oscillations for a Generalization of the RiemannโWeber Version of Euler Differential Equation
- Compact Composition Operators on Generalized Hardy Spaces
- CLT for Operator Abel Sums of Random Elements
- On the Dirichlet Problem for a Second Order Elliptic System with Degeneration on the Whole Boundary of a Multidimensional Domain
- A Note on Conjugacy Classes of Finite Groups