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@article{IVM_2002_7_a8, author = {A. P. Chegolin}, title = {The classes $L_{p,r}^\alpha$ of {Lizorkin--Samko} type associated with complex powers of the telegraph operator}, journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika}, pages = {58--64}, publisher = {mathdoc}, number = {7}, year = {2002}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/IVM_2002_7_a8/} }
TY - JOUR AU - A. P. Chegolin TI - The classes $L_{p,r}^\alpha$ of Lizorkin--Samko type associated with complex powers of the telegraph operator JO - Izvestiâ vysših učebnyh zavedenij. Matematika PY - 2002 SP - 58 EP - 64 IS - 7 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IVM_2002_7_a8/ LA - ru ID - IVM_2002_7_a8 ER -
%0 Journal Article %A A. P. Chegolin %T The classes $L_{p,r}^\alpha$ of Lizorkin--Samko type associated with complex powers of the telegraph operator %J Izvestiâ vysših učebnyh zavedenij. Matematika %D 2002 %P 58-64 %N 7 %I mathdoc %U http://geodesic.mathdoc.fr/item/IVM_2002_7_a8/ %G ru %F IVM_2002_7_a8
A. P. Chegolin. The classes $L_{p,r}^\alpha$ of Lizorkin--Samko type associated with complex powers of the telegraph operator. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2002), pp. 58-64. http://geodesic.mathdoc.fr/item/IVM_2002_7_a8/
[1] Samko S. G., “O prostranstvakh rissovykh potentsialov”, Izv. AN SSSR. Ser. matem., 40:5 (1976), 1143–1172 | MR | Zbl
[2] Samko S. G., “Prostranstva $L_{p, r}^\alpha(R^n)$ i gipersingulyarnye integraly”, Izv AN BSSR. Ser. fiz.-matem nauk, 1976, no. 2, 34–41 | MR | Zbl
[3] Samko S. G., Gipersingulyarnye integraly i ikh prilozheniya, Izd-vo Rostovsk. un-ta, Rostov-na-Donu, 1984, 208 pp. | MR | Zbl
[4] 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
[5] Lizorkin P. I., “Opisanie prostranstv $L_p^r(R^n)$ v terminakh raznostnykh singulyarnykh integralov”, Matem. sb., 81:1 (1970), 79–91 | MR | Zbl
[6] Nogin V. A., Sukhinin E. V., “Obraschenie i opisanie giperbolicheskikh potentsialov s $L_p$-plotnostyami”, Dokl. RAN, 329:5 (1993), 550–552 | MR | Zbl
[7] Nogin V. A., Sukhinin E. V., Drobnye stepeni operatora Shredingera, Dep. v VINITI 12.05.94, No 1190-B94, 23 pp.
[8] Nogin V. A., Sukhinin E. V., “Drobnye stepeni operatora Kleina-Gordona”, Dokl. RAN, 341:2 (1995), 166–168 | MR | Zbl
[9] Sukhinin E. V., Drobnye stepeni operatora Shredingera, Dep. v VINITI 04.04.95, No 925-B95, 15 pp.
[10] Nogin V. A., Samko S. G., O skhodimosti v $L_p(R^n)$ gipersingulyarnykh integralov s odnorodnoi kharakteristikoi, Dep. v VINITI 14.01.81, No 179–81, Rostovsk. un-t, Rostov-na-Donu, 1980, 47 pp.
[11] Beitmen G., Erdeii A., Vysshie transtsendentnye funktsii. Funktsii Besselya, funktsii parabolicheskogo tsilindra, ortogonalnye mnogochleny, Nauka, M., 1974, 296 pp.
[12] Oberlin D. M., “Convolution estimates for some distributions with singularities on the light cone”, Duke Math. J., 59:3 (1989), 747–757 | DOI | MR | Zbl
[13] Gradshtein I. S., Ryzhik I. M., Tablitsy integralov, summ, ryadov i proizvedenii, Nauka, M., 1971, 1108 pp.
[14] Samko S. G., “O plotnosti v $L_p(R^n)$ prostranstv $\Phi_V$ tipa Lizorkina”, Matem. zametki, 31:6 (1982), 855–865 | MR | Zbl
[15] Abramyan A. V., Nogin V. A., Drobnye stepeni neodnorodnykh differentsialnykh operatorov vtorogo poryadka s postoyannymi koeffitsientami, Dep. v VINITI 23.11.93, No 2880-B93, 102 pp.