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The limiting case of the fractional Caffarelli-Kohn-Nirenberg inequality in dimension one

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GST - Geometric spectral theory and applications

In this talk I will explore the limiting case $\gamma\to(1/2)^-$ in dimension one for the fractional Caffarelli-Kohn-Nirenberg inequality, obtaining Onofri’s inequality in the unit disk as a limit. An important aspect is the study of solutions of the weighted Liouville equation for the half-Laplacian in dimension one.   This is joint work with Maria del Mar Gonzalez and Ali Hyder.

This talk is part of the Isaac Newton Institute Seminar Series series.

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