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@article{MZM_2004_75_4_a9, author = {A. K. Ramazanov}, title = {Estimate of the {Norm} of a {Polyanalytic} {Function} via the {Norm} of {Its} {Polyharmonic} {Component}}, journal = {Matemati\v{c}eskie zametki}, pages = {608--613}, publisher = {mathdoc}, volume = {75}, number = {4}, year = {2004}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MZM_2004_75_4_a9/} }
TY - JOUR AU - A. K. Ramazanov TI - Estimate of the Norm of a Polyanalytic Function via the Norm of Its Polyharmonic Component JO - Matematičeskie zametki PY - 2004 SP - 608 EP - 613 VL - 75 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MZM_2004_75_4_a9/ LA - ru ID - MZM_2004_75_4_a9 ER -
A. K. Ramazanov. Estimate of the Norm of a Polyanalytic Function via the Norm of Its Polyharmonic Component. Matematičeskie zametki, Tome 75 (2004) no. 4, pp. 608-613. http://geodesic.mathdoc.fr/item/MZM_2004_75_4_a9/
[1] Balk M. B., Polyanalytic Functions, Akad. Verlag, Berlin, 1991 | Zbl
[2] Ramazanov A. K., “Ob ortogonalnykh proektorakh v prostranstvakh polianaliticheskikh funktsii”, Izv. TulGU. Ser. matem., mekh., informatika, 4:1 (1998), 117–122 | MR
[3] Ramazanov A. K., “Predstavlenie prostranstva polianaliticheskikh funktsii v vide pryamoi summy ortogonalnykh podprostranstv. Prilozhenie k ratsionalnym approksimatsiyam”, Matem. zametki, 66:5 (1999), 741–759 | MR | Zbl
[4] Ramazanov A. K., “O stroenii prostranstv polianaliticheskikh funktsii”, Matem. zametki, 72:5 (2002), 750–764 | MR | Zbl
[5] Dolzhenko E. P., “O granichnom povedenii komponent polianaliticheskoi funktsii”, Matem. zametki, 63:6 (1998), 821–834 | MR | Zbl
[6] Dolzhenko E. P., Danchenko V. I., “O granichnom povedenii reshenii obobschennogo uravneniya Koshi–Rimana”, Vestn. MGU. Ser. 1. Matem., mekh., 1998, no. 3, 16–25 | MR | Zbl
[7] Duren P. L., Shields A. L., “Properties of $H^p$ $(0
1)$ and its containing Banach space”, Trans. Amer. Math. Soc., 141 (1969), 255–262 | DOI | MR | Zbl[8] Shamoyan F. A., “Prilozheniya integralnykh predstavlenii Dzhrbashyana k nekotorym zadacham analiza”, Dokl. AN SSSR, 261:3 (1981), 557–561 | MR | Zbl
[9] Burbea J., “The Bergman projection over plane regions”, Ark. Mat., 18:2 (1980), 207–221 | DOI | MR | Zbl
[10] Solovev A. A., “Otsenki v $L^p$ integralnykh operatorov, svyazannykh s prostranstvami analiticheskikh i garmonicheskikh funktsii”, Sib. matem. zh., 26:3 (1985), 168–191 | MR | Zbl
[11] Ramazanov A. K., “Otsenka normy polianaliticheskoi funktsii cherez normu ee poligarmonicheskoi sostavlyayuschei”, Sovremennye metody teorii funktsii i smezhnye problemy, Tezisy dokl., VGU, Voronezh, 1999, 163
[12] Ramazanov A. K., “Otsenka normy polianaliticheskoi funktsii cherez normu ee poligarmonicheskoi sostavlyayuschei”, Sovremennye problemy teorii funktsii i ikh prilozheniya, Tezisy dokl. 11-i Saratovskoi zimnei shkoly, SGU, Saratov, 2002, 166–167
[13] Koshelev A. D., “O kern-funktsii dlya gilbertova prostranstva polianaliticheskikh funktsii v kruge”, Dokl. AN SSSR, 232:2 (1977), 277–279 | MR | Zbl
[14] Vasin A. V., “Proektory na $L_p$-prostranstva polianaliticheskikh funktsii”, Zapiski nauch. sem. LOMI, 190, Nauka, L., 1991, 15–33
[15] Rudin U., Teoriya funktsii v edinichnom share iz $\mathbb C^n$, Mir, M., 1984 | Zbl