Establishes sharp weighted second-order L²-CKN inequalities and stability versions for curl-free fields via spherical harmonics and 1D inequalities.
K¨ onig, Stability for the Sobolev inequality: existence of a minimizer, arXiv:2211.14185, to appear inJ
2 Pith papers cite this work. Polarity classification is still indexing.
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Generalized Beckner and Poincaré inequalities with stability are established for weighted Gaussian measures, along with log-Sobolev inequalities and applications to the Heisenberg uncertainty principle.
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The weighted $L^2$-Caffarelli-Kohn-Nirenberg inequalities for the curl-free vector fields and second order derivatives: The sharp constants and stability estimates
Establishes sharp weighted second-order L²-CKN inequalities and stability versions for curl-free fields via spherical harmonics and 1D inequalities.
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Log-Sobolev and Beckner inequalities and stability of Poincar\'e inequality with weighted Gaussian measures
Generalized Beckner and Poincaré inequalities with stability are established for weighted Gaussian measures, along with log-Sobolev inequalities and applications to the Heisenberg uncertainty principle.