Imaginary Powers of Laplace Operators
نویسنده
چکیده
We show that if L is a second-order uniformly elliptic operator in divergence form on R, then C1(1+ |α|) ≤ ‖L‖L1→L1,∞ ≤ C2(1+ |α|). We also prove that the upper bounds remain true for any operator with the finite speed propagation property.
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