A Remark on an Endpoint Kato-ponce Inequality
نویسندگان
چکیده
This note introduces bilinear estimates intended as a step towards an L∞-endpoint Kato-Ponce inequality. In particular, a bilinear version of the classical Gagliardo-Nirenberg interpolation inequalities for a product of functions is proved.
منابع مشابه
The Kato-ponce Inequality
In this article we revisit the inequalities of Kato and Ponce concerning the L norm of the Bessel potential J = (1 − ∆) (or Riesz potential D = (−∆)) of the product of two functions in terms of the product of the L norm of one function and the L norm of the the Bessel potential J (resp. Riesz potential D) of the other function. Here the indices p, q, and r are related as in Hölder’s inequality ...
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