Sharp constant of Hardy operators corresponding to general positive measures

We investigate a new kind of Hardy operator [Formula: see text] with respect to arbitrary positive measures μ and prove that [Formula: see text] is bounded on [Formula: see text] with an upper constant [Formula: see text] . Moreover, we characterize a sufficient condition about the measure which mak...

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Detalles Bibliográficos
Autores principales: Nie, Xudong, Yan, Dunyan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5891599/
https://www.ncbi.nlm.nih.gov/pubmed/29674834
http://dx.doi.org/10.1186/s13660-018-1660-8
Descripción
Sumario:We investigate a new kind of Hardy operator [Formula: see text] with respect to arbitrary positive measures μ and prove that [Formula: see text] is bounded on [Formula: see text] with an upper constant [Formula: see text] . Moreover, we characterize a sufficient condition about the measure which makes [Formula: see text] to be the [Formula: see text] -norm of [Formula: see text] .

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