Artículo
Sharp weighted bounds for fractional integral operators
Autor/es | Lacey, Michael T.
Moen, Kabe Pérez Moreno, Carlos Torres, Rodolfo H. |
Departamento | análisis matemático |
Fecha de publicación | 2010-09-01 |
Fecha de depósito | 2016-06-16 |
Publicado en |
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Resumen | The relationship between the operator norms of fractional integral operators
acting on weighted Lebesgue spaces and the constant of the weights is investigated. Sharp bounds are obtained for both the fractional integral ... The relationship between the operator norms of fractional integral operators acting on weighted Lebesgue spaces and the constant of the weights is investigated. Sharp bounds are obtained for both the fractional integral operators and the associated fractional maximal functions. As an application improved Sobolev inequalities are obtained. Some of the techniques used include a sharp off-diagonal version of the extrapolation theorem of Rubio de Francia and characterizations of two-weight norm inequalities. |
Cita | Lacey, M.T., Moen, K., Pérez Moreno, C. y Torres, R.H. (2010). Sharp weighted bounds for fractional integral operators. Journal of Functional Analysis, 259 (5), 1073-1097. |
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