Weighted composition operators on multidimensional Lorentz spaces and a glimpse on multipliers between bounded p-variation spaces

In this thesis we study the multidimensional Lorentz spaces via the two-dimensional decreasing rearrangement. In particular, results of interpolation, quasinormability and completeness are stablished, and weights that define a norm are characterized. The boundedness, compactness and closed range of...

Full description

Autores:
Chaparro Gutiérrez, Héctor Camilo
Tipo de recurso:
Doctoral thesis
Fecha de publicación:
2018
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/64024
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/64024
http://bdigital.unal.edu.co/64726/
Palabra clave:
5 Ciencias naturales y matemáticas / Science
51 Matemáticas / Mathematics
Decreasing rearrangement
Composition operator
Multipliers
Multidimensional rearrangement
Lorentz spaces
Reordenamiento decreciente
Reordenamiento multidimensional
Multiplicadores
Operador compacto
Espacios de Lorentz
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional