Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8904593 | Acta Mathematica Scientia | 2017 | 13 Pages |
Abstract
We study potential operators and, more generally, Laplace-Stieltjes and Laplace type multipliers associated with the twisted Laplacian. We characterize those 1 ⤠p,q ⤠â, for which the potential operators are Lp - Lq bounded. This result is a sharp analogue of the classical Hardy-Littlewood-Sobolev fractional integration theorem in the context of special Hermite expansions. We also investigate Lp mapping properties of the Laplace-Stieltjes and Laplace type multipliers.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Adam NOWAK, Krzysztof STEMPAK,