Kunze Stein inequality can be thought of as a semisimple version of Youngâ€™s inequality. A remarkable observation of M.G.Cowling and S.Meda shows that these inequalities can be naturally extended to Lorentz spaces. The final result in this direction was proved by A. Ionescu. In this talk we will try to explain the central ideas behind Kunze Stein type convolution inequalities for Lorentz spaces.

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Last updated: 26 Feb 2024