Hardy type inequalities on the sphere

In this paper, we consider the [Formula: see text] -Hardy inequalities on the sphere. By the divergence theorem, we establish the [Formula: see text] -Hardy inequalities on the sphere. Furthermore, we also obtain their best constants. Our results can be regarded as the extension of Xiao’s (J. Math....

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Detalles Bibliográficos
Autores principales: Sun, Xiaomei, Pan, Fan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5487932/
https://www.ncbi.nlm.nih.gov/pubmed/28680251
http://dx.doi.org/10.1186/s13660-017-1424-x
Descripción
Sumario:In this paper, we consider the [Formula: see text] -Hardy inequalities on the sphere. By the divergence theorem, we establish the [Formula: see text] -Hardy inequalities on the sphere. Furthermore, we also obtain their best constants. Our results can be regarded as the extension of Xiao’s (J. Math. Inequal. 10:793-805, 2016).

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