most citedThe thermodynamic limit for matter interacting with Coulomb forces and with the quantized electromagnetic field: I. The lower bound

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math.FA2004★ 5 cited

A Sharp analog of Young's Inequality on and Related Entropy Inequalities

Eric Carlen, Elliott Lieb, Michael Loss

We prove a sharp analog of Young's inequality on , and deduce from it certain sharp entropy inequalities. The proof turns on constructing a nonlinear heat flow that drives tri…