Artículo

Weighted inequalities for the fractional Laplacian and the existence of extremals

de Napoli, Pablo LuisIcon ; Drelichman, IreneIcon ; Salort, Ariel MartinIcon
Fecha de publicación: 05/2019
Editorial: World Scientific
Revista: Communications In Contemporary Mathematics
ISSN: 0219-1997
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

In this paper, we obtain improved versions of Stein-Weiss and Caffarelli-Kohn-Nirenberg inequalities, involving Besov norms of negative smoothness. As an application of the former, we derive the existence of extremals of the Stein-Weiss inequality in certain cases, some of which are not contained in the celebrated theorem of Lieb [Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities, Ann. of Math. (2) 118(2) (1983) 101-116].
Palabras clave: EMBEDDING THEOREMS , EXTREMALS , FRACTIONAL LAPLACIAN , POTENTIAL SPACES , POWER WEIGHTS , SOBOLEV SPACES
 
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info:eu-repo/semantics/restrictedAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/88594
URL: https://www.worldscientific.com/doi/abs/10.1142/S0219199718500347
DOI: http://dx.doi.org/10.1142/S0219199718500347
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Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Citación
de Napoli, Pablo Luis; Drelichman, Irene; Salort, Ariel Martin; Weighted inequalities for the fractional Laplacian and the existence of extremals; World Scientific; Communications In Contemporary Mathematics; 21; 3; 5-2019; 1-21
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