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Sharp stability for the second-order weighted Heisenberg Uncertainty Principle with explicit stability constants and optimizers
By using spherical harmonicas decomposition and Gaussian-type Poincaré inequalities, we establish several sharp stability estimates for the following second-order weighted Heisenberg Uncertainty Principle \begin{equation*} \int_{\mathbb{R}^N} \!\frac{|Δu|^2} {|x|^{2α}} \mathrm{d}x \int_{\mathbb{R}^N
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