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.
