Article ID Journal Published Year Pages File Type
4622797 Journal of Mathematical Analysis and Applications 2006 11 Pages PDF
Abstract
In this paper, we characterize the class of measurable functions (or, more generally, real- or complex-valued distributions) f such that the commutator operatorCf=[f,Δ] acting from H˙1(Rd) to H˙−1(Rd). In other words, we give a complete solution to the problem for the boundedness of the Laplacian −Δ, which is fundamental to quantum mechanics.
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
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