Geodesic
Extreme spaces for extrapolation
Funkcionalʹnyj analiz i ego priloženiâ, Tome 54 (2020) no. 1, pp. 3-10.

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

@article{FAA_2020_54_1_a0,
     author = {E. I. Berezhnoi},
     title = {Extreme spaces for extrapolation},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {3--10},
     publisher = {mathdoc},
     volume = {54},
     number = {1},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2020_54_1_a0/}
}
TY  - JOUR
AU  - E. I. Berezhnoi
TI  - Extreme spaces for extrapolation
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 2020
SP  - 3
EP  - 10
VL  - 54
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_2020_54_1_a0/
LA  - ru
ID  - FAA_2020_54_1_a0
ER  - 
%0 Journal Article
%A E. I. Berezhnoi
%T Extreme spaces for extrapolation
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 2020
%P 3-10
%V 54
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_2020_54_1_a0/
%G ru
%F FAA_2020_54_1_a0
E. I. Berezhnoi. Extreme spaces for extrapolation. Funkcionalʹnyj analiz i ego priloženiâ, Tome 54 (2020) no. 1, pp. 3-10. http://geodesic.mathdoc.fr/item/FAA_2020_54_1_a0/

[1] A. Zigmund, Trigonometricheskie ryady, v. 1, 2, Mir, M., 1965

[2] E. M. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton Mathematical Series, 30, Princeton University Press, Princeton, NJ, 1970 | MR | Zbl

[3] S. Yano, “Notes on Fourier analysis. XXIX. An extrapolation theorem”, J. Math. Soc. Japan., 3:2 (1951), 296–305 | DOI | MR | Zbl

[4] E. I. Berezhnoi, A. A. Perfilev, “Tochnaya teorema ekstrapolyatsii dlya operatorov”, Funkts. analiz i ego pril., 34:3 (2000), 66–68 | DOI | MR | Zbl

[5] E. I. Berezhnoi, “Tochnaya teorema ekstrapolyatsii dlya prostranstv Lorentsa”, Sib. matem. zhurn., 54:3 (2013), 520–535 | MR | Zbl

[6] E. I. Berezhnoi, “Mozhno li usilit teoremu Yano?”, Funkts. analiz i ego pril., 49:2 (2015), 82–85 | DOI | Zbl

[7] M. Carro, “On the range space of Yano's extrapolation theorem and new extrapolation estimates at infinity”, Publ. Mat., extra (2002), 27–37 | DOI | MR | Zbl

[8] B. Jawerth, M. Milman, “Extrapolation theory with applications”, Memoirs Amer. Math. Soc., 89:440 (1991), 1–82 | DOI | MR

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

[10] G. E. Karadzhov, M. Milman, “Extrapolation theory: new results and applications”, J. Approx. Theory, 133:1 (2005), 38–99 | DOI | MR | Zbl

[11] A. Fiorenza, “Duality and reflexivity in grand Lebesgue spaces”, Collect. Math., 51:2 (2000), 131–148 | MR | Zbl

[12] A. Fiorenza, B. Gupta, P. Jain, “The maximal theorem for weighted grand Lebesgue spaces”, Studia Math., 188:2 (2008), 123–133 | DOI | MR | Zbl

[13] A. Fiorenza, G. E. Karadzhov, “Grand and small Lebesgue spaces and their analogs”, Z. Anal. Anwend., 23 (2004), 657–681 | DOI | MR | Zbl

[14] E. I. Bepezhnoi, “Tochnoe vychislenie summy prostranstv Lorentsa $\Lambda^{\alpha}$ i prilozheniya”, Matem. zametki., 104:5 (2018), 649–658 | DOI | MR

[15] E. I. Bepezhnoi, “Tochnoe vychislenie summy konusov v prostranstvakh Lorentsa”, Funkts. analiz i ego pril., 52:2 (2018), 66–72 | DOI | MR

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

[17] J. L. Lions, J. Peetre, “Sur une classe d'espaces d'interpolation”, Inst. Hautes Études Sci. Publ. Math., 19 (1964), 5–68 | DOI | MR | Zbl