H-distributions - an extension of the H-measures

Details H-distributions - an extension of the H-measures H-distributions - an extension of the H-measures

2009-07-08

arxiv.org/abs/0907.1373v8

Mathematics

Functional Analysis

Scientific paper

We use the continuity of Fourier multiplier operators on $L^p$ to introduce
the $H$-distributions --- an extension of $H$-measures in the $L^p$ framework.
We apply the $H$-distributions to obtain an $L^p$ version of the localisation
principle, and reprove the $L^p$---$L^q$ variant of the Murat--Tartar div-curl
lemma.

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