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Integral Representations and Continuous Projectors in Some Spaces of Analytic and Pluriharmonic Functions

  • Gigla Oniani and Lamara Tsibadze
Published/Copyright: March 11, 2010
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Georgian Mathematical Journal
From the journal Volume 15 Issue 4

Abstract

We consider analytic and pluriharmonic functions belonging to the classes ๐ต๐‘(ฮฉ) and ๐‘๐‘(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 ๐ฟ(ฯ, ฮฉ) into the space ๐ต๐‘(ฮฉ) and from the space ๐ฟ(ฯ, ฮฉ) into the space ๐‘๐‘(ฮฉ) is proved. Also, consideration is given to the existence of boundary values of fractional integrals of functions of the spaces ๐ต๐‘(ฮฉ) and ๐‘๐‘(ฮฉ).

Received: 2007-11-16
Published Online: 2010-03-11
Published in Print: 2008-December

ยฉ Heldermann Verlag

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  2. On Dynamical Three-Dimensional Fluid-Solid Interaction Problem
  3. Existence and Uniqueness of Weak Solution for a Class of Elliptic Reaction-Diffusion Systems
  4. Existence of Solutions in Weighted Sobolev Spaces for Some Degenerate Quasilinear Elliptic Equations
  5. Periodic Solutions for Nonlinear Differential Equation with Functional Delay
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  8. On Some Combinatorial Problems Concerning Geometrical Realizations of Finite and Infinite Families of Sets
  9. Beurlingโ€“Borg Type Theorem for Two-Dimensional Linear Differential Systems
  10. The Maximal Operator in Weighted Variable Exponent Spaces on Metric Spaces
  11. Sequential Detection of Drift Change for Brownian Motion with Unknown Sign
  12. Uniqueness for Meromorphic Functions Concerning Differential Polynomials
  13. Integral Representations and Continuous Projectors in Some Spaces of Analytic and Pluriharmonic Functions
  14. On One Problem with the Condition at Infinity for Second Order Singular Ordinary Differential Equations
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  17. CLT for Operator Abel Sums of Random Elements
  18. On the Dirichlet Problem for a Second Order Elliptic System with Degeneration on the Whole Boundary of a Multidimensional Domain
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