Geodesic
Inequalities with Weights for Discrete Hilbert Transforms✝
Canadian mathematical bulletin, Tome 20 (1977) no. 1, pp. 9-16

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

Let Z(Z+) denote the set of all (positive) integers and let T denote the discrete Hilbert transform defined for suitable sequences a = {ak}kεz by where as usual the prime denotes omission of the term k = n. 
Andersen, Kenneth F. Inequalities with Weights for Discrete Hilbert Transforms✝. Canadian mathematical bulletin, Tome 20 (1977) no. 1, pp. 9-16. doi: 10.4153/CMB-1977-002-2
@article{10_4153_CMB_1977_002_2,
     author = {Andersen, Kenneth F.},
     title = {Inequalities with {Weights} for {Discrete} {Hilbert} {Transforms✝}},
     journal = {Canadian mathematical bulletin},
     pages = {9--16},
     year = {1977},
     volume = {20},
     number = {1},
     doi = {10.4153/CMB-1977-002-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1977-002-2/}
}
TY  - JOUR
AU  - Andersen, Kenneth F.
TI  - Inequalities with Weights for Discrete Hilbert Transforms✝
JO  - Canadian mathematical bulletin
PY  - 1977
SP  - 9
EP  - 16
VL  - 20
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1977-002-2/
DO  - 10.4153/CMB-1977-002-2
ID  - 10_4153_CMB_1977_002_2
ER  - 
%0 Journal Article
%A Andersen, Kenneth F.
%T Inequalities with Weights for Discrete Hilbert Transforms✝
%J Canadian mathematical bulletin
%D 1977
%P 9-16
%V 20
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1977-002-2/
%R 10.4153/CMB-1977-002-2
%F 10_4153_CMB_1977_002_2

[1] 1. Andersen, K. F., Discrete Hilbert Transforms and Rearrangement Invariant Sequence Spaces, Applicable Analysis 5 (1976), pp. 193-200. Google Scholar

[2] 2. Andersen, K. F., Weighted Norm Inequalities for Hilbert Transforms and Conjugate Functions of Even and Odd Functions, Proc. Amer. Math. Soc. 56 (1976), pp. 99-107. Google Scholar

[3] 3. Hardy, G. H., Littlewood, J. E., and Polya, G., "Inequalities", 2nd Ed., Cambridge University Press, 1952. Google Scholar

[4] 4. Hunt, R., Muckenhoupt, B., and Wheeden, R., Weighted Norm Inequalities for the Conjugate Function and Hilbert Transform, Trans. Amer. Math. Soc. 176 (1973), pp. 227-251. Google Scholar

[5] 5. Muckenhoupt, B., Weighted Norm Inequalities for the Hardy Maximal Function, Trans. Amer. Math. Soc. 165 (1972), pp. 207-226. Google Scholar

Cité par Sources :