The boundary Riemann problem of the power-logarithmic order of infinity index for the half-plane
Articles
Petras Alekna
Siauliu University
Published 2005-12-18
https://doi.org/10.15388/LMR.2005.24556
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Keywords

boundary Riemann problem
infinity index
class B of bounded analytic functions

How to Cite

Alekna, P. (2005) “The boundary Riemann problem of the power-logarithmic order of infinity index for the half-plane”, Lietuvos matematikos rinkinys, 45(spec.), pp. 73–77. doi:10.15388/LMR.2005.24556.
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Vol. 45 (2005)

The boundary Riemann problem of the power-logarithmic order of infinity index for the half-plane

Abstract

The boundary Riemann problem of the power-logarithmic order of infinity index for the half-plane in the class ℬ of bounded analytic functions and in the class ℬ0(ρ, n) ⊂ ℬ, is investigated. Also, the necessary and sufficient conditions for the solution of this problem in the class ℬ0(ρ, n), are obtained.

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