Translation-Invariant Operators On L p(G), 0 < p < 1 (II)
Canadian journal of mathematics, Tome 29 (1977) no. 3, pp. 626-630

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

For a locally compact group G, let LP(G) be the usual Lebesgue space with respect to left Haar measure m on G. For x ε G define the left and right translation operators Lx and Rx by Lx f(y) = f(xy), Rx f(y) = f(yx)(f ε Lp(G),y ε G). The purpose of this paper is to prove the following theorem.
Oberlin, Daniel M. Translation-Invariant Operators On L p(G), 0 < p < 1 (II). Canadian journal of mathematics, Tome 29 (1977) no. 3, pp. 626-630. doi: 10.4153/CJM-1977-063-8
@article{10_4153_CJM_1977_063_8,
     author = {Oberlin, Daniel M.},
     title = {Translation-Invariant {Operators} {On} {L} {p(G),} 0 &lt; p &lt; 1 {(II)}},
     journal = {Canadian journal of mathematics},
     pages = {626--630},
     year = {1977},
     volume = {29},
     number = {3},
     doi = {10.4153/CJM-1977-063-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1977-063-8/}
}
TY  - JOUR
AU  - Oberlin, Daniel M.
TI  - Translation-Invariant Operators On L p(G), 0 < p < 1 (II)
JO  - Canadian journal of mathematics
PY  - 1977
SP  - 626
EP  - 630
VL  - 29
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1977-063-8/
DO  - 10.4153/CJM-1977-063-8
ID  - 10_4153_CJM_1977_063_8
ER  - 
%0 Journal Article
%A Oberlin, Daniel M.
%T Translation-Invariant Operators On L p(G), 0 < p < 1 (II)
%J Canadian journal of mathematics
%D 1977
%P 626-630
%V 29
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1977-063-8/
%R 10.4153/CJM-1977-063-8
%F 10_4153_CJM_1977_063_8

[1] 1. Herz, C. and N. Rivière, Estimates for translation-invariant operators on spaces with mixed norms, Studia Math. U(1972), 511–515. Google Scholar

[2] 2. Hewitt, E. and Ross, K., Abstract harmonic analysis, Vol, II (Springer, New York, 1970). Google Scholar

[3] 3. Marcinkiewicz, J. and Zygmund, A., Quelques inégalités pour les opérations linéaires, Fund. Math. 32 (1939), 115–121. Google Scholar

[4] 4. Oberlin, D., Translation-invariant operators on LV﹛G), 0 &lt; p &lt; 1, Michigan Math. J., 23 (1976), 119–122. Google Scholar

Cité par Sources :