Geodesic
Can Yano's extrapolation theorem be strengthened?
Funkcionalʹnyj analiz i ego priloženiâ, Tome 49 (2015) no. 2, pp. 82-85 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

It is shown that an extrapolation theorem for $L^{p}$ proposed by the author and a Yano-type theorem implied by it cannot be improved.
Keywords: extrapolation theorem, Lorentz space.
Mots-clés : Lebesgue space 
@article{FAA_2015_49_2_a8,
     author = {E. I. Berezhnoi},
     title = {Can {Yano's} extrapolation theorem be strengthened?},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {82--85},
     year = {2015},
     volume = {49},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2015_49_2_a8/}
}
TY  - JOUR
AU  - E. I. Berezhnoi
TI  - Can Yano's extrapolation theorem be strengthened?
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 2015
SP  - 82
EP  - 85
VL  - 49
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/FAA_2015_49_2_a8/
LA  - ru
ID  - FAA_2015_49_2_a8
ER  - 
%0 Journal Article
%A E. I. Berezhnoi
%T Can Yano's extrapolation theorem be strengthened?
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 2015
%P 82-85
%V 49
%N 2
%U http://geodesic.mathdoc.fr/item/FAA_2015_49_2_a8/
%G ru
%F FAA_2015_49_2_a8
E. I. Berezhnoi. Can Yano's extrapolation theorem be strengthened?. Funkcionalʹnyj analiz i ego priloženiâ, Tome 49 (2015) no. 2, pp. 82-85. http://geodesic.mathdoc.fr/item/FAA_2015_49_2_a8/

[1] S. Yano, J. Math. Soc. Japan., 3:2 (1951), 296–305 | DOI | MR | Zbl

[2] E. I. Berezhnoi, A. A. Perfilev, Funkts. analiz i ego pril., 34:3 (2000), 66–68 | DOI | MR | Zbl

[3] M. Milman, Extrapolation and Optimal Decompositions: with Applications to Analysis, Lecture Nothes in Math., 1580, Springer-Verlag, Berlin, 1994 | DOI | MR | Zbl

[4] B. Jawerth, M. Milman, Memoirs Amer. Math. Soc., 89:440 (1991), 1–82 | DOI | MR

[5] G. E. Karadzhov, M. Milman, J. Approx. Theory, 133:1 (2005), 38–99 | DOI | MR | Zbl

[6] S. V. Astashkin, Sib. matem. zhurn., 46:2 (2005), 264–289 | MR | Zbl