A Note on Variable Exponent Hörmander Spaces

[EN] In this paper we introduce the variable exponent Hormander spaces and we study some of their properties. In particular, it is shown that is isomorphic to (Omega open set in and the Hardy-Littlewood maximal operator M is bounded in extending a Hormander's result to our context. As a con...

Descripción completa

Detalles Bibliográficos
Autores: Motos Izquierdo, Joaquín, Planells Gilabert, María Jesús, Talavera Usano, César Félix|||0000-0002-8542-9097
Tipo de recurso: artículo
Fecha de publicación:2013
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/108051
Acceso en línea:https://riunet.upv.es/handle/10251/108051
Access Level:acceso abierto
Palabra clave:Variable exponent Lebesgue space
Entire analytic function
Hardy-Littlewood maximal operator
Hörmander space.
MATEMATICA APLICADA
Descripción
Sumario:[EN] In this paper we introduce the variable exponent Hormander spaces and we study some of their properties. In particular, it is shown that is isomorphic to (Omega open set in and the Hardy-Littlewood maximal operator M is bounded in extending a Hormander's result to our context. As a consequence, a number of results on sequence space representations of variable exponent Hormander spaces are given.