Geodesic
Estimates of the Cordoba--Fernandez operator in Marcinkiewicz spaces
Modelirovanie i analiz informacionnyh sistem, Tome 16 (2009) no. 4, pp. 34-45.

Voir la notice de l'article provenant de la source Math-Net.Ru

In the A. Cordoba and P. Fernandez research of the divergence of greedy algorithms in Lebesgue spaces some maximum operator $P^*_n(x)$ played the key role. This article reviews the assessment $P^*_n(x)$ in Marcinkiewicz spaces.
Keywords: greedy algorithms, estimate of operators.
Mots-clés : Marcinkiewicz space 
@article{MAIS_2009_16_4_a3,
     author = {E. I. Berezhnoi and D. S. Gladkikh},
     title = {Estimates of the {Cordoba--Fernandez} operator in {Marcinkiewicz} spaces},
     journal = {Modelirovanie i analiz informacionnyh sistem},
     pages = {34--45},
     publisher = {mathdoc},
     volume = {16},
     number = {4},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MAIS_2009_16_4_a3/}
}
TY  - JOUR
AU  - E. I. Berezhnoi
AU  - D. S. Gladkikh
TI  - Estimates of the Cordoba--Fernandez operator in Marcinkiewicz spaces
JO  - Modelirovanie i analiz informacionnyh sistem
PY  - 2009
SP  - 34
EP  - 45
VL  - 16
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MAIS_2009_16_4_a3/
LA  - ru
ID  - MAIS_2009_16_4_a3
ER  - 
%0 Journal Article
%A E. I. Berezhnoi
%A D. S. Gladkikh
%T Estimates of the Cordoba--Fernandez operator in Marcinkiewicz spaces
%J Modelirovanie i analiz informacionnyh sistem
%D 2009
%P 34-45
%V 16
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MAIS_2009_16_4_a3/
%G ru
%F MAIS_2009_16_4_a3
E. I. Berezhnoi; D. S. Gladkikh. Estimates of the Cordoba--Fernandez operator in Marcinkiewicz spaces. Modelirovanie i analiz informacionnyh sistem, Tome 16 (2009) no. 4, pp. 34-45. http://geodesic.mathdoc.fr/item/MAIS_2009_16_4_a3/

[1] A. Cordoba, P. Fernandez, “Convergence and divergence of decreasing rearranged Fourier series”, SIAM J. Math. Anal., 29:5 (1998), 1129–1139 | DOI | MR | Zbl

[2] S. G. Krein, Yu. I. Petunin, E. M. Semenov, Interpolyatsiya lineinykh operatorov, Nauka, M., 1977 | MR

[3] J. Lindenstrauss, L. Tzafriri, Classical Banach spaces, v. I, Springer, Berlin, 1977 ; v. II, 1979 | MR | Zbl | MR | Zbl

[4] G. Montgomeri, Multiplikativnaya teoriya chisel, Mir, M., 1974 | MR