Artículo
A unified point of view on boundedness of Riesz type potentials
Fecha de publicación:
08/2018
Editorial:
Unión Matemática Argentina
Revista:
Revista de la Unión Matemática Argentina
ISSN:
0041-6932
e-ISSN:
1669-9637
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
We introduce a natural extension of the Riesz potentials to quasimetricmeasure spaces with an upper doubling measure. In particular, theseoperators are defined when the underlying space has components of differingdimensions. We study the behavior of the potential on classical and variableexponent Lebesgue spaces, obtaining necessary and sufficient conditions forits boundedness. The technique we use relies on a geometric property ofthe measure of the balls which holds both in the doubling and non-doublingsituations, and allows us to present our results in a unified way.
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Colecciones
Articulos(CCT - SANTA FE)
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - SANTA FE
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - SANTA FE
Citación
Iaffei, Bibiana Raquel; Nitti, Rosa Liliana; A unified point of view on boundedness of Riesz type potentials; Unión Matemática Argentina; Revista de la Unión Matemática Argentina; 59; 1; 8-2018; 99-121
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