Boundedness properties of modified averaging operators and geometrically doubling metric spaces

We characterize the geometrically doubling condition of a metric space in terms of the uniform L1 -boundedness of super averaging operators, where uniform refers to the existence of bounds independent of the measure being considered

Detalles Bibliográficos
Autores: Munárriz Aldaz, Jesús, Caldera Morante, Alberto
Tipo de recurso: artículo
Fecha de publicación:2025
País:España
Institución:Universidad Autónoma de Madrid
Repositorio:Biblos-e Archivo. Repositorio Institucional de la UAM
Idioma:inglés
OAI Identifier:oai:repositorio.uam.es:10486/718453
Acceso en línea:http://hdl.handle.net/10486/718453
https://dx.doi.org/10.1007/s10476-025-00068-7
Access Level:acceso abierto
Palabra clave:Metric Measure Space
Geometrically Doubling Metric Space
Superaveraging Operator
Matemáticas
Descripción
Sumario:We characterize the geometrically doubling condition of a metric space in terms of the uniform L1 -boundedness of super averaging operators, where uniform refers to the existence of bounds independent of the measure being considered