Hardy–Littlewood maximal operator on reflexive variable Lebesgue spaces over spaces of homogeneous type

We show that the Hardy–Littlewood maximal operator is bounded on a reflexive variable Lebesgue space Lp(·) over a space of homogeneous type (X, d, µ) if and only if it is bounded on its dual space Lp0(·), where 1/p(x) + 1/p0(x) = 1 for x ∈ X. This result extends the corresponding result of Lars Dien...

ver descrição completa

Detalhes bibliográficos
Autor principal: Karlovich, Alexei (author)
Formato: article
Idioma:eng
Publicado em: 2021
Assuntos:
Texto completo:http://hdl.handle.net/10362/117157
País:Portugal
Oai:oai:run.unl.pt:10362/117157