| Abstract: |
| In this talk, I will present recent results concerning weighted inequalities in fractional Sobolev-type spaces. The weights considered are powers of the distance to the boundary of the domain or any flat submanifold. This will include, among others, weighted Hardy inequalities with sharp constants for Gagliardo and Triebel-Lizorkin seminorms and related inequalities with remainder terms, such as fractional Hardy-Sobolev-Maz`ya inequality. Criticality of some Hardy weights will be discussed. |
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