An Endpoint Smoothing Estimate for Schrödinger Equations
نویسندگان
چکیده
We prove that the multiplier operator U t defined by Û α t f = e it|·| f̂ is bounded from Lpβ(R ) to L(R × [0, 1]) for all β ≥ αd( 1 2 − 1 p )− α p when p ∈ ( 2(d+3) d+1 ,∞). This is sharp with respect to the Sobolev index when α 6= 1.
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