Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4591952 | Journal of Functional Analysis | 2009 | 17 Pages |
Abstract
In this paper we study the weak-type (1,1) boundedness of the higher order Riesz–Laguerre transforms associated with the Laguerre polynomials. In particular, we obtain the boundedness for the Riesz–Laguerre transforms of order 2 and we find also the sharp polynomial weight ω that makes the Riesz–Laguerre transforms of order greater than two continuous from into L1,∞(dμα), being μα the Laguerre measure.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory