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The Kato-Ponce Inequality
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, no. 6.0 (2014): 1128.0-1157.0
Abstract
In this article we revisit the inequalities of Kato and Ponce concerning the L-r norm of the Bessel potential J(s)=(1-)(s/2) (or Riesz potential D-s=(- )(s/2)) of the product of two functions in terms of the product of the L-p norm of one function and the L-q norm of the Bessel potential J(s) (resp. Riesz potential D-s) of the other funct...More
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