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@article{TRSPY_2005_250_a8, author = {L. N. Lyakhov and M. V. Polovinkina}, title = {The {Space} of {Weighted} {Bessel} {Potentials}}, journal = {Informatics and Automation}, pages = {192--197}, publisher = {mathdoc}, volume = {250}, year = {2005}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/TRSPY_2005_250_a8/} }
L. N. Lyakhov; M. V. Polovinkina. The Space of Weighted Bessel Potentials. Informatics and Automation, Differential equations and dynamical systems, Tome 250 (2005), pp. 192-197. http://geodesic.mathdoc.fr/item/TRSPY_2005_250_a8/
[1] Kipriyanov I. A., “Preobrazovanie Fure–Besselya i teoremy vlozheniya dlya vesovykh klassov”, Tr. MIAN, 89, 1967, 130–213 | Zbl
[2] Kipriyanov I. A., Singulyarnye ellipticheskie kraevye zadachi, Nauka, M., 1997, 199 pp. | MR
[3] Stein E. M., “The characterization of functions arising as potentials”, Bull. Amer. Math. Soc., 67:1 (1961), 102–104 | DOI | MR
[4] Lizorkin P. I., “Opisanie prostranstva $L_p^r(R_n)$ v terminakh raznostnykh singulyarnykh integralov”, Mat. sb., 81:1 (1970), 79–91 | MR | Zbl
[5] Nikolskii S. M., Priblizhenie funktsii mnogikh peremennykh i teoremy vlozheniya, Nauka, M., 1977, 455 pp. | MR
[6] Samko S. G., Kilbas A. A., Marichev O. I., Integraly i proizvodnye drobnogo poryadka i nekotorye ikh prilozheniya, Nauka i tekhnika, Minsk, 1987, 688 pp. | MR | Zbl
[7] Stein I., Singulyarnye integraly i differentsialnye svoistva funktsii, Mir, M., 1973, 342 pp. | MR
[8] Levitan B. M., “Razlozhenie v ryady i integraly Fure po funktsiyam Besselya”, UMN, 6:2 (1951), 102–143 | MR | Zbl
[9] Lyakhov L. N., “Ob odnom klasse gipersingulyarnykh integralov”, DAN SSSR, 315:2 (1990), 291–296 | MR | Zbl
[10] Gradshtein I. S., Ryzhik I. M., Tablitsy integralov, summ, ryadov i proizvedenii, GIFML, M., 1965, 1100 pp.
[11] Levitan B. M., “Normirovannye koltsa, porozhdennye operatorom obobschennogo sdviga”, DAN SSSR, 47:1 (1945), 3–6 | MR
[12] Lyakhov L. N., “Vesovye normirovannye koltsa i tauberova teorema approksimatsii, porozhdennye obobschennym sdvigom”, DAN, 380:5 (2001), 588–590 | MR | Zbl
[13] Lyakhov L. N., “Opisanie prostranstva $B$-potentsialov Rissa $\mathbf{U}_\alpha^\gamma(L_p^\gamma)$ s pomoschyu $B$-proizvodnykh poryadka $2[\alpha/2]$”, DAN, 341:2 (1995), 161–165 | MR | Zbl