| Abstract |
The Hardy's inequality is a classical result in analysis, providing a relationship between the weighted norms of functions and their gradient norm, with several applications in Sobolev spaces, partial differential equations, and mathematical physics. In recent decades, interest has grown in fractional versions of this inequality, where the classical Laplacian is replaced by a non-local operator, such as the fractional Laplacian. In this talk, we introduce a weighted version of the classical Hardy inequality on bounded domains and extend it to the case of the fractional Laplacian. We also present some recent results related to this topic. |
