Endpoint regularity of discrete multisublinear fractional maximal operators associated with [Formula: see text] -balls

In this paper we investigate the endpoint regularity of the discrete m-sublinear fractional maximal operator associated with [Formula: see text] -balls, both in the centered and uncentered versions. We show that these operators map [Formula: see text] into [Formula: see text] boundedly and continuou...

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Detalles Bibliográficos
Autor principal: Liu, Feng
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5801474/
https://www.ncbi.nlm.nih.gov/pubmed/29456416
http://dx.doi.org/10.1186/s13660-018-1627-9
Descripción
Sumario:In this paper we investigate the endpoint regularity of the discrete m-sublinear fractional maximal operator associated with [Formula: see text] -balls, both in the centered and uncentered versions. We show that these operators map [Formula: see text] into [Formula: see text] boundedly and continuously. Here [Formula: see text] represents the set of functions of bounded variation defined on [Formula: see text] .

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