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Publicação
Addendum to “On the Riesz potential operator of variable order from variable exponent Morrey space to variable exponent Campanato space”, Math Meth Appl Sci. 2020; 1–8
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Autores
Orientador(es)
Resumo(s)
In the paper mentioned in the title, it is proved the boundedness of the Riesz
potential operator of variable order 𝛼(x) from variable exponent Morrey space
to variable exponent Campanato space, under certain assumptions on the variable exponents p(x) and 𝜆(x) of the Morrey space. Assumptions on the exponents
were different depending on whether 𝛼(x)p(x)−n+𝜆(x)
p(x) takes or not the critical values 0 or 1. In this note, we improve those results by unifying all the cases and
covering the whole range 0 ⩽ 𝛼(x)p(x)−n+𝜆(x)
p(x) ⩽ 1. We also provide a correction to
some minor technicality in the proof of Theorem 2 in the aforementioned paper.
Descrição
Palavras-chave
BMO Fractional integral Riesz potential Variable exponent Campanato spaces Variable exponent Morrey spaces
Contexto Educativo
Citação
Editora
Wiley