Geodesic
Restriction Operators Acting on Radial Functions on Vector Spaces over Finite Fields
Canadian mathematical bulletin, Tome 57 (2014) no. 4, pp. 834-844

Voir la notice de l'article provenant de la source Cambridge

DOI

We study ${{L}^{p}}\to {{L}^{r}}$ restriction estimates for algebraic varieties $V$ in the case when restriction operators act on radial functions in the finite field setting. We show that if the varieties $V$ lie in odd dimensional vector spaces over finite fields, then the conjectured restriction estimates are possible for all radial test functions. In addition, assuming that the varieties $V$ are defined in even dimensional spaces and have few intersection points with the sphere of zero radius, we also obtain the conjectured exponents for all radial test functions.
DOI : 10.4153/CMB-2014-016-2
Mots-clés : 42B05, 43A32, 43A15, finite fields, radial functions, restriction operators. 
Koh, Doowon. Restriction Operators Acting on Radial Functions on Vector Spaces over Finite Fields. Canadian mathematical bulletin, Tome 57 (2014) no. 4, pp. 834-844. doi: 10.4153/CMB-2014-016-2
@article{10_4153_CMB_2014_016_2,
     author = {Koh, Doowon},
     title = {Restriction {Operators} {Acting} on {Radial} {Functions} on {Vector} {Spaces} over {Finite} {Fields}},
     journal = {Canadian mathematical bulletin},
     pages = {834--844},
     year = {2014},
     volume = {57},
     number = {4},
     doi = {10.4153/CMB-2014-016-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2014-016-2/}
}
TY  - JOUR
AU  - Koh, Doowon
TI  - Restriction Operators Acting on Radial Functions on Vector Spaces over Finite Fields
JO  - Canadian mathematical bulletin
PY  - 2014
SP  - 834
EP  - 844
VL  - 57
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2014-016-2/
DO  - 10.4153/CMB-2014-016-2
ID  - 10_4153_CMB_2014_016_2
ER  - 
%0 Journal Article
%A Koh, Doowon
%T Restriction Operators Acting on Radial Functions on Vector Spaces over Finite Fields
%J Canadian mathematical bulletin
%D 2014
%P 834-844
%V 57
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2014-016-2/
%R 10.4153/CMB-2014-016-2
%F 10_4153_CMB_2014_016_2

Cité par Sources :