Artículo
Two weighted inequalities for operators associated to a critical radius function
Fecha de publicación:
06/2020
Editorial:
University of Illinois at Urbana-Champaign
Revista:
Illinois Journal Of Mathematics
ISSN:
0019-2082
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
In the general framework of Rd equipped with Lebesgue measure and a critical radius function, we introduce several Hardy–Littlewood type maximal operators and related classes of weights. We prove appropriate two weighted inequalities for such operators as well as a version of Lerner’s inequality for a product of weights. With these tools we are able to prove factored weight inequalities for certain operators associated to the critical radius function. As it is known, the harmonic analysis arising from the Schrödinger operator L D C V, as introduced by Shen, is based on the use of a related critical radius function. When our previous result is applied to this case, it allows to show some inequalities with factored weights for all first and second order Schrödinger–Riesz transforms.
Palabras clave:
SCHÖDINGER OPERATOR
,
WEIGHTS
,
BMO SPACES
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Identificadores
Colecciones
Articulos(IMAL)
Articulos de INST.DE MATEMATICA APLICADA "LITORAL"
Articulos de INST.DE MATEMATICA APLICADA "LITORAL"
Citación
Bongioanni, Bruno; Harboure, Eleonor Ofelia; Quijano, Pablo; Two weighted inequalities for operators associated to a critical radius function; University of Illinois at Urbana-Champaign; Illinois Journal Of Mathematics; 64; 2; 6-2020; 227-259
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