On a restriction problem of de Leeuw type for Laguerre multipliers

@article{Gasper1994OnAR,
  title={On a restriction problem of de Leeuw type for Laguerre multipliers},
  author={George Gasper and Walter Trebels},
  journal={Acta Mathematica Hungarica},
  year={1994},
  volume={68},
  pages={135-149}
}
In 1965 K. de Leeuw [3] proved among other things in the Fourier transform setting: If a continuous function m(ξ1, . . . , ξn) on R generates a bounded transformation on L(R), 1 ≤ p ≤ ∞, then its trace m(ξ1, . . . , ξk) = m(ξ1, . . . , ξk, 0, . . . , 0), k < n, generates a bounded transformation on L(R). In this paper, the analogous problem is discussed in the setting of Laguerre expansions of different orders. 

Applications of weighted Laguerre transplantation theorems

As applications of the weighted transplantation theorems in Stempak and Trebels [16] we consider (i) the characterization of one-dimensional Hermite multipliers via Laguerre multipliers, (ii)

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