We give a Sobolev inequality with the weight K(x) belonging to the class A_2\cap G_n for the function |u|^t and the weight K(x)^{-1} for |u|^2. The constant in the relevant inequality is seen to depend on the G_n and A_2 constants of the weight.

A Sobolev inequality with reciprocal weights

Angela Alberico;
2012

Abstract

We give a Sobolev inequality with the weight K(x) belonging to the class A_2\cap G_n for the function |u|^t and the weight K(x)^{-1} for |u|^2. The constant in the relevant inequality is seen to depend on the G_n and A_2 constants of the weight.
2012
Istituto Applicazioni del Calcolo ''Mauro Picone''
Fractional integrals Muckenhoupt and Gehring classes Sobolev inequalities Weighted inequalities Weights
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/241154
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