Article ID Journal Published Year Pages File Type
4590354 Journal of Functional Analysis 2013 8 Pages PDF
Abstract

We show thatJa,b,n:=12(|p|a|q|b+|q|b|p|a) is positive under suitable conditions on the exponents a and b and the underlying dimension n  . (Here qq is the multiplication by x   and p:=i−1∇p:=i−1∇.) Furthermore we show a generalization of the generalized Hardy inequalities for the fractional Laplacians.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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