Sharp estimates for maximal operators associated to the wave equation
نویسندگان
چکیده
منابع مشابه
Sharp Estimates for Maximal Operators Associated to the Wave Equation
The wave equation, ∂ttu = ∆u, in R, considered with initial data u(x, 0) = f ∈ H(R) and u′(x, 0) = 0, has a solution which we denote by 1 2 (e √ −∆f + e−it √ −∆f). We give almost sharp conditions under which sup0<t<1 |e ±it √ −∆f | and supt∈R |e ±it √ −∆f | are bounded from H(R) to L(R).
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ژورنال
عنوان ژورنال: Arkiv för Matematik
سال: 2008
ISSN: 0004-2080
DOI: 10.1007/s11512-007-0063-8