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Watch this 20-minute conference talk from the "Fourier Analysis & Beyond I" workshop at IMPA, where Luis M. Salge from UERJ presents his research on Hardy inequalities on Hardy spaces. Explore a revisited approach to these fundamental inequalities that play a crucial role in harmonic analysis and functional analysis. Learn about the connections between Hardy spaces and Hardy inequalities, examining how classical results can be reinterpreted and potentially strengthened through modern analytical techniques. Discover the mathematical foundations underlying these inequalities and their applications in Fourier analysis, while gaining insights into current research directions in this active area of mathematical analysis. The presentation is part of a comprehensive workshop featuring mini-courses and invited talks that showcase the interface between Fourier analysis and related mathematical fields, bringing together specialists to present recent contributions and stimulate new research directions.
