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Watch this mathematical seminar lecture exploring the limiting case of the fractional Caffarelli-Kohn-Nirenberg inequality in one dimension. Delve into advanced mathematical analysis as Dr. Mariel Saez from Pontificia Universidad Católica de Chile presents her research on this specialized topic in functional analysis and partial differential equations. Learn about the theoretical foundations and applications of fractional inequalities, examining how the Caffarelli-Kohn-Nirenberg inequality behaves in its limiting case when restricted to dimension one. Explore the mathematical techniques and proofs involved in analyzing these weighted Sobolev inequalities and their fractional extensions. Gain insights into the geometric and analytical properties that emerge in this limiting scenario, understanding the connections between fractional calculus, weighted function spaces, and optimal constants in inequality theory. This presentation is part of the Geometric Spectral Theory and Applications program at the Isaac Newton Institute, offering advanced mathematical content suitable for researchers and graduate students in analysis, partial differential equations, and related mathematical fields.
