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The Multi-Dimensional Pencil Phenomenon for Laguerre Heat-Diffusion Maximal Operators

Adam Nowak ; Peter Sjögren (Institutionen för matematiska vetenskaper, matematik)
Mathematische Annalen (0025-5831). Vol. 344 (2009), 1, p. 213-248.
[Artikel, refereegranskad vetenskaplig]

We investigate in detail the mapping properties of the maximal operator associated with the heat-diffusion semigroup corresponding to expansions with respect to multi-dimensional standard Laguerre functions $${mathcal{L}^{alpha}_k}$$ . Our interest is focused on the situation when at least one coordinate of the type multi-index α is smaller than 0. For such parameters α the Laguerre semigroup does not satisfy the general theory of semigroups, and the behavior of the associated maximal operator on L p spaces is found to depend strongly on both α and the dimension.

Denna post skapades 2007-12-18. Senast ändrad 2017-07-03.
CPL Pubid: 63344


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Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)


Matematisk analys

Chalmers infrastruktur