Orthogonal Decomposition in Omega-Weighted Classes of Functions Subharmonic in the Half-Plane

The paper gives a harmonic, ω-weighted, half-plane analog of W. Wirtinger's projection theorem and its (1 - r)α-weighted extension by M. Djrbashian and also an orthogonal decomposition for some classes of functions subharmonic in the half-plane.

Autores:
Jerbashian, Armen
Vargas, Daniel
Tipo de recurso:
Article of journal
Fecha de publicación:
2018
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/66422
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/66422
http://bdigital.unal.edu.co/67450/
Palabra clave:
51 Matemáticas / Mathematics
Subharmonic functions
orthogonal decomposition
potentials
Funciones subarmónicas
descomposición ortogonal
potenciales
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
Description
Summary:The paper gives a harmonic, ω-weighted, half-plane analog of W. Wirtinger's projection theorem and its (1 - r)α-weighted extension by M. Djrbashian and also an orthogonal decomposition for some classes of functions subharmonic in the half-plane.