@article{TM_2014_284_a4,
author = {O. V. Besov},
title = {To the {Sobolev} embedding theorem for the limiting exponent},
journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
pages = {89--104},
year = {2014},
volume = {284},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TM_2014_284_a4/}
}
O. V. Besov. To the Sobolev embedding theorem for the limiting exponent. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function spaces and related problems of analysis, Tome 284 (2014), pp. 89-104. http://geodesic.mathdoc.fr/item/TM_2014_284_a4/
[1] Besov O.V., “O prostranstvakh funktsii nulevoi gladkosti”, Mat. sb., 203:8 (2012), 3–16 | DOI | MR | Zbl
[2] John F., Nirenberg L., “On functions of bounded mean oscillation”, Commun. Pure Appl. Math., 14 (1961), 415–426 | DOI | MR | Zbl
[3] Besov O.V., Ilin V.P., Nikolskii S.M., Integralnye predstavleniya funktsii i teoremy vlozheniya, Nauka, M., 1996 | MR
[4] Kolyada V.I., “O sootnosheniyakh mezhdu modulyami nepreryvnosti v raznykh metrikakh”, Tr. MIAN, 181, 1988, 117–136 | MR
[5] O'Neil R., “Convolution operators and $L(p,q)$ spaces”, Duke Math. J., 30 (1963), 129–142 | DOI | MR | Zbl
[6] Peetre J., “Espaces d'interpolation et théorème de Soboleff”, Ann. Inst. Fourier., 16:1 (1966), 279–317 | DOI | MR | Zbl
[7] Yudovich V.I., “O nekotorykh otsenkakh, svyazannykh s integralnymi operatorami i resheniyami ellipticheskikh uravnenii”, DAN SSSR, 138:4 (1961), 805–808 | Zbl
[8] Hansson K., “Imbedding theorems of Sobolev type in potential theory”, Math. Scand., 45 (1979), 77–102 | MR | Zbl
[9] Brézis H., Wainger S., “A note on limiting cases of Sobolev embeddings and convolution inequalities”, Commun. Partial Diff. Eqns., 5:7 (1980), 773–789 | DOI | MR | Zbl
[10] Cianchi A., “Optimal Orlicz–Sobolev embeddings”, Rev. Mat. Iberoamer., 20:2 (2004), 427–474 | DOI | MR | Zbl
[11] Babichev D.S., Teoremy vlozheniya anizotropnykh prostranstv Soboleva v prostranstva nulevoi gladkosti, Dipl. rab., MFTI, Dolgoprudnyi, 2012
[12] Labutin D.A., “Neuluchshaemost neravenstv Soboleva dlya klassa neregulyarnykh oblastei”, Tr. MIAN, 232, 2001, 218–222 | MR | Zbl
[13] Kantorovich L.V., Akilov G.P., Funktsionalnyi analiz, Nauka, M., 1984 | MR | Zbl
[14] Besov O.V., “Integralnye otsenki differentsiruemykh funktsii na neregulyarnykh oblastyakh”, Mat. sb., 201:12 (2010), 69–82 | DOI | MR