CPL - Chalmers Publication Library
| Utbildning | Forskning | Styrkeområden | Om Chalmers | In English In English Ej inloggad.

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

Adam Nowak ; Peter Sjögren (Institutionen för matematiska vetenskaper)
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 2014-09-29.
CPL Pubid: 63344

 

Läs direkt!


Länk till annan sajt (kan kräva inloggning)


Institutioner (Chalmers)

Institutionen för matematiska vetenskaperInstitutionen för matematiska vetenskaper (GU)

Ämnesområden

Matematisk analys

Chalmers infrastruktur