Geodesic
A Singular Integral on L 2(Rn )
Canadian mathematical bulletin, Tome 37 (1994) no. 2, pp. 197-201

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

DOI

We consider a convolution singular integral operator associated to a kernel K(x) = b(x)Ω(x)|x|-n, and prove that if b ∊ L ∞(Rn ) is a radial function and Ω ∊ H(Σn-1) with mean zero condition (1), then is a bounded linear operator in the space L 2(Rn ).
DOI : 10.4153/CMB-1994-029-0
Mots-clés : 42B99 
Fan, Dashan. A Singular Integral on L 2(Rn ). Canadian mathematical bulletin, Tome 37 (1994) no. 2, pp. 197-201. doi: 10.4153/CMB-1994-029-0
@article{10_4153_CMB_1994_029_0,
     author = {Fan, Dashan},
     title = {A {Singular} {Integral} on {L} {2(Rn} )},
     journal = {Canadian mathematical bulletin},
     pages = {197--201},
     year = {1994},
     volume = {37},
     number = {2},
     doi = {10.4153/CMB-1994-029-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1994-029-0/}
}
TY  - JOUR
AU  - Fan, Dashan
TI  - A Singular Integral on L 2(Rn )
JO  - Canadian mathematical bulletin
PY  - 1994
SP  - 197
EP  - 201
VL  - 37
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1994-029-0/
DO  - 10.4153/CMB-1994-029-0
ID  - 10_4153_CMB_1994_029_0
ER  - 
%0 Journal Article
%A Fan, Dashan
%T A Singular Integral on L 2(Rn )
%J Canadian mathematical bulletin
%D 1994
%P 197-201
%V 37
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1994-029-0/
%R 10.4153/CMB-1994-029-0
%F 10_4153_CMB_1994_029_0

Cité par Sources :