@article{IVM_2007_2_a2,
author = {E. Yu. Leonchik and N. A. Malaksiano},
title = {Precise summability indices for functions from classes $A_\infty$},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {17--26},
year = {2007},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2007_2_a2/}
}
E. Yu. Leonchik; N. A. Malaksiano. Precise summability indices for functions from classes $A_\infty$. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2007), pp. 17-26. http://geodesic.mathdoc.fr/item/IVM_2007_2_a2/
[1] Strömberg J.-O., Torchinsky A., Weighted Hardy spaces, Lecture Notes Math., 1381, Springer-Verlag, New York, 1989, 193 pp. | MR | Zbl
[2] Muckenhoupt B., “Weighted norm inequalities for the Hardy maximal function”, Trans. Amer. Math. Soc., 165 (1972), 207–226 | DOI | MR | Zbl
[3] Gehring F. W., “The $L^p$-integrability of the partial derivatives of a quasiconformal mapping”, Acta Math., 130 (1973), 265–277 | DOI | MR | Zbl
[4] D'Apuzzo L., Sbordone C., “Reverse Hölder inequalities. A sharp result”, Rendiconti di Math. Ser. VII, 10 (1990), 357–366 | MR
[5] Korenovskii A. A., “O tochnom prodolzhenii obratnogo neravenstva Gëldera i usloviya Makenkhaupta”, Matem. zametki, 52:6 (1992), 32–44 | MR
[6] Malaksiano N. A., “O tochnykh vlozheniyakh klassov Geringa v klassy Makenkhaupta”, Matem. zametki, 70:5 (2001), 742–750 | MR | Zbl
[7] Malaksiano N. A., “The precise embeddings of one-dimensional Muckenhoupt classes in Gehring classes”, Acta Sci. Math., Szeged, 68 (2002), 237–248 | MR | Zbl
[8] Klemes I., “A mean oscillation inequality”, Proc. Amer. Math. Soc., 93:3 (1985), 497–500 | DOI | MR | Zbl