Theory of singular integral operators, potential type operators, BMO type functional spaces, mean oscillation of functions.
Main publications:
Ob approksimatsii suschestvenno nepreryvnykh funktsii singulyarnymi integrapami. Izv. vuzov. Matematika, 1989, # 3, s. 57–62.
Mnogomernyi singulyarnyi integralnyi operator v prostranstvakh, opredelyaemykh usloviyami na srednyuyu ostsillyatsiyu funktsii. DAN SSSR, 1990, t. 314, # 3, s. 562–565.
Mnogomernyi singulyarnyi integralnyi operator v prostranstvakh, opredelyaemykh usloviyami na srednyuyu ostsillyatsiyu k-go poryadka. Doklady RAN, 1997, t. 356, # 5, s. 602–604.
Mnogomernyi singulyarnyi integralnyi operator v prostranstvakh BMO i H. Izv. vuzov. Matematika, 1997, # 3, s. 52–60.
A. Sh. Abdinov, R. F. Babayeva, R. M. Rzaev, N. A. Ragimova, S. I. Amirova, “On the specific electrophysical properties of $n$-InSe single crystals”, Fizika i Tekhnika Poluprovodnikov, 50:1 (2016), 35–38; Semiconductors, 50:1 (2016), 34–37
R. M. Rzaev, “A multidimensional singular integral operator in the spaces ${\rm BMO}_{\phi,\theta}$ and $H_{\phi,\theta}$”, Izv. Vyssh. Uchebn. Zaved. Mat., 1997, no. 3, 52–60; Russian Math. (Iz. VUZ), 41:3 (1997), 51–59
1990
4.
R. M. Rzaev, “A multidimensional singular integral operator in spaces defined by
conditions on mean oscillation of functions”, Dokl. Akad. Nauk SSSR, 314:3 (1990), 562–565; Dokl. Math., 42:2 (1991), 520–523
1989
5.
R. M. Rzaev, “Local theorems for the approximation of periodic functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 1989, no. 8, 85–88; Soviet Math. (Iz. VUZ), 33:8 (1989), 119–122
6.
R. M. Rzaev, “Approximation of essentially continuous functions by singular integrals”, Izv. Vyssh. Uchebn. Zaved. Mat., 1989, no. 3, 57–62; Soviet Math. (Iz. VUZ), 33:3 (1989), 90–99
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