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Communications in Partial Differential Equations· 2013Q1

The Kato-Ponce Inequality

Loukas Grafakos, Seungly Oh

Short summary

A new Kato-Ponce inequality is established for the Bessel potential of a product of two functions, proving it holds under specific Hölder-type conditions (1/p + 1/q = 1/r) for 1 ≤ p, q ≤ ∞ and 1/2 ≤ r < ∞.

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Field: Mathematical Physics

Mathematical PhysicsMathematics