We derive from Fourier inequalities between weighted Lebesgue spaces, weighted Sobolev gradient inequalities for a wide range of indices. The weight functions for which these inequalities hold are easily computable, but the norm constants are not optimal.
CITATION STYLE
Heinig, H. P. (2006). Weighted Sobolev Inequalities for Gradients. In Applied and Numerical Harmonic Analysis (pp. 17–23). Springer International Publishing. https://doi.org/10.1007/0-8176-4504-7_2
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