Article ID Journal Published Year Pages File Type
4617222 Journal of Mathematical Analysis and Applications 2013 15 Pages PDF
Abstract
Let d1 and d2 be two nonnegative integers greater than 2. We study the Fourier multiplier Tλ associated with a conical surface S={(ξ,τ)∈Rd1×Rd2:|ξ|=|τ|}, defined by Tλf̂(ξ,τ)=(1−|ξ|2|τ|2)+λΨ(|τ|)f̂(ξ,τ),(ξ,τ)∈Rd1×Rd2, where Ψ is a smooth function defined on R, that is supported in (1/2,2).
Related Topics
Physical Sciences and Engineering Mathematics Analysis
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