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Commutators of fractional maximal operator in variable Lebesgue spaces over bounded quasi‐metric measure spaces
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Orientador(es)
Resumo(s)
We study the fractional maximal commutators Mb,𝜂 and the commutators[b, M𝜂]
of the fractional maximal operator with b ∈ BMO(X) in the variable Lebesgue
spaces Lp(·)(X) over bounded quasi-metric measure spaces. We give necessary
and sufficient conditions for the boundedness of the operators Mb,𝜂 and [b, M𝜂]
on the spaces Lp(·)(X) when b ∈ BMO(X). Furthermore, we obtain some new
characterizations for certain subspaces of BMO(X).
Descrição
Palavras-chave
BMO Commutators Fractional maximal function Quasi-metric measure spaces Variable Lebesgue spaces
Contexto Educativo
Citação
Editora
Wiley