| Abstract: |
| This talk is devoted to our recent results on sharp remainder terms for weighted Hardy-Poincare type inequalities, including the case of general non-radial weights and explicit sharp constants. As an application of this framework, we derive sharp remainder formulae for the Lp-Poincare inequality and the Lp-Heisenberg-Pauli-Weyl inequality. If time permits, we will further discuss applications to stability, spectral gap problems, and nonlinear parabolic partial differential equations. |
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