Voir la notice de l'article provenant de la source Math-Net.Ru
@article{AA_2004_16_3_a4, author = {A. A. Pekarskii}, title = {Bernstein type inequalities for arbitrary rational functions in the spaces $L_p$, $0<p<1$, on {Lavrent'ev} curves}, journal = {Algebra i analiz}, pages = {143--170}, publisher = {mathdoc}, volume = {16}, number = {3}, year = {2004}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/AA_2004_16_3_a4/} }
A. A. Pekarskii. Bernstein type inequalities for arbitrary rational functions in the spaces $L_p$, $0
[1] Aleksandrov A. B., “Essays on nonlocally convex Hardy classes”, Complex Analysis and Spectral Theory (Leningrad, 1979/1980), Lecture Notes in Math., 864, Springer, Berlin–New York, 1981, 1–89 | MR
[2] Aleksandrov A. B., “Dva analoga teoremy M. Rissa o sopryazhennykh funktsiyakh dlya prostranstv V. I. Smirnova $E_p$, $0
1$”, Teoriya operatorov i teoriya funktsii, vyp. 1, LGU, L., 1983, 9–20[3] David G., “Opérateurs intégraux singuliers sur certaines courbes du plan complexe”, Ann. Sci. École Norm. Sup. (4), 17 (1984), 157–189 | MR | Zbl
[4] Danchenko V. I., “Nekotorye integralnye otsenki proizvodnykh ratsionalnykh funktsii na mnozhestvakh s ogranichennoi plotnostyu”, Mat. sb., 187:10 (1996), 33–52 | MR | Zbl
[5] Danchenko V. I., Dolzhenko E. P., “Otobrazhenie mnozhestv konechnoi $\alpha$-mery posredstvom ratsionalnykh funktsii”, Izv. AN SSSR. Ser. mat., 51:6 (1987), 1309–1321 | MR | Zbl
[6] Dynkin E. M., “Otsenki analiticheskikh funktsii v zhordanovykh oblastyakh”, Zap. nauch. semin. LOMI, 73, 1977, 70–90 | MR
[7] Dynkin E. M., “Metody teorii singulyarnykh integralov. II. Teoriya Littlvuda–Peli i ee prilozheniya”, Itogi nauki i tekhn. Ser. Sovrem. probl. mat. Fundam. napravleniya, 42, VINITI, M., 1989, 105–198 | MR
[8] Dyn'kin E., “Inequalities for rational functions”, J. Approx. Theory, 91:3 (1997), 349–367 | DOI | MR
[9] Dyn'kin E., “Rational functions in Bergman spaces”, Complex Analysis, Operators, and Related Topics, Oper. Theory Adv. Appl., 113, Birkhäuser, Basel, 2000, 77–94 | MR
[10] Duren P. L., Theory of $H^p$ spaces, Pure Appl. Math., 38, Academic Press, New York–London, 1970 | MR
[11] Garnett Dzh., Ogranichennye analiticheskie funktsii, Mir, M., 1984 | MR | Zbl
[12] Gamelin T., Ravnomernye algebry, Mir, M., 1973 | Zbl
[13] Jerison D. S., Kenig C. E., “Hardy spaces, $A_\infty$, and singular integrals on chord-arc domains”, Math. Scand., 50 (1982), 221–247 | MR | Zbl
[14] Misyuk V. P., “Neravenstva tipa Bernshteina dlya proizvodnykh ratsionalnykh funktsii otnositelno ploskoi mery”, Tr. In-ta mat. NAN Belarusi, 9, 2001, 105–108
[15] Pekarskii A. A., “Nailuchshie ratsionalnye priblizheniya v kompleksnoi oblasti”, Tr. Mat. in-ta AN SSSR, 190, 1989, 222–233 | MR
[16] Pekarskii A. A., “Obobschennaya ratsionalnaya approksimatsiya v kruge”, Izv. AN BSSR. Ser. fiz.-mat. nauk, 1990, no. 6, 9–14 | MR | Zbl
[17] Pekarskii A. A., Shtal G., “Neravenstva tipa Bernshteina dlya proizvodnykh ratsionalnykh funktsii v prostranstvakh $L_p$ pri $p1$”, Mat. sb., 186:1 (1995), 119–130 | MR | Zbl
[18] Pekarskii A. A., “Ratsionalnye i kusochno-polinomialnye priblizheniya v prostranstvakh $L_p$ i $H_p$”, Izv. AN Belarusi. Ser. fiz.-mat. nauk, 2000, no. 3, 11–16 | MR
[19] Pekarskii A. A., “Ratsionalnye priblizheniya funktsii s proizvodnymi iz prostranstva V. I. Smirnova”, Algebra i analiz, 13:2 (2001), 165–190 | MR
[20] Privalov I. I., Granichnye svoistva analiticheskikh funktsii, GITTL, M.-L., 1950
[21] Privalov I. I., Vvedenie v teoriyu funktsii kompleksnogo peremennogo, Nauka, M., 1977 | MR
[22] Sevastyanov E. A., “Nekotorye otsenki prozvodnykh ratsionalnykh funktsii v integralnykh metrikakh”, Mat. zametki, 13:4 (1973), 499–510