Geodesic
About the # Function
Canadian mathematical bulletin, Tome 19 (1976) no. 4, pp. 455-460

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

The use of decreasing rearrangement formulas, and particularly that of the weak N inequality, is illustrated by deriving from E τ |f-f(τ -)|≤E τ u (where f t is some stochastic process and τ arbitrary stopping time) the estimate ||f||≤Const||u|| in the class of structureless norms with finite dual Hardy bound.The basic estimate is 
Klincsek, G. T. About the # Function. Canadian mathematical bulletin, Tome 19 (1976) no. 4, pp. 455-460. doi: 10.4153/CMB-1976-068-0
@article{10_4153_CMB_1976_068_0,
     author = {Klincsek, G. T.},
     title = {About the # {Function}},
     journal = {Canadian mathematical bulletin},
     pages = {455--460},
     year = {1976},
     volume = {19},
     number = {4},
     doi = {10.4153/CMB-1976-068-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1976-068-0/}
}
TY  - JOUR
AU  - Klincsek, G. T.
TI  - About the # Function
JO  - Canadian mathematical bulletin
PY  - 1976
SP  - 455
EP  - 460
VL  - 19
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1976-068-0/
DO  - 10.4153/CMB-1976-068-0
ID  - 10_4153_CMB_1976_068_0
ER  - 
%0 Journal Article
%A Klincsek, G. T.
%T About the # Function
%J Canadian mathematical bulletin
%D 1976
%P 455-460
%V 19
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1976-068-0/
%R 10.4153/CMB-1976-068-0
%F 10_4153_CMB_1976_068_0

[1] 1. Boyd, D. W., Indices of function spaces and their relationship to interpolation, Canadian Journ. Math. 21 (1969) pp. 1245–1254. Google Scholar

[2] 2. Fefferman, C. and Stein, E. M., Hp spaces of several variables, Acta Math. 129 (1972), pp. 137–193. Google Scholar

[3] 3. Garsia, A. M., Martingale Inequalities, W. A. Benjamin Inc., Reading, Mass. 1973. Google Scholar

[4] 4. Herz, C., A best possible Marcinkiewicz interpolation theorem with applications to martingale inequalities, McGill University, Dept. of Mathematics, lecture notes. Google Scholar

[5] 5. Herz, C., Cadlag processes, McGill University, Dept. of Mathematics, lecture notes. Google Scholar

[6] 6. John, F. and Nirenberg, L., On functions of bounded mean oscillation, Comm. Pure Appl. Math. 14 (1961), pp. 415–426. Google Scholar

[7] 7. Klincsek, G. T., Banach spaces of martingales in connection with H-spaces, Ph.D. thesis, McGill University. Google Scholar

[8] 8. Luxemburg, W. A. J., Rearrangement-invariant Banach function spaces, Queen’s papers in Pure & Applied Math. 10 (1967), pp. 83–144. Google Scholar

[9] 9. Meyer, P. A., Martingales and Stochastic Integrals I. Springer Lecture Notes in Math. 284 (1972). Google Scholar

Cité par Sources :