Counterexamples to $L^p$ collapsing estimates

preprint2020arXivOpen access

We show that certain $L^2$ space-time estimates for generalized density matrices which have been used by several authors in recent years to study equations of BBGKY or Hartree-Fock type, do not have non-trivial $L^pL^q$ generalizations.

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Counterexamples to $L^p$ collapsing estimates

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Counterexamples to LpL^pLp collapsing estimates

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Counterexamples to $L^p$ collapsing estimates