Speciality:
01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date:
03.05.1948
E-mail: , ,
Keywords: embeddings of the functional spaces; interpolation spaces; maximal functions and singular operators; theory of approximation.
Subject:
Embeddings and interpolation of functional spaces; maximal and singular operators and weighted inequalities; best approximation in functional spaces. The embedding problems of general weighted Sobolev spaces in isotrophic and anisotrophic cases were solved; interpolation spaces of general weighted Sobolev classes were described.
Main publications:
Kusainova L. K. Ob interpolyatsii vesovykh prostranstv Soboleva // Izvestiya Ministerstva nauki Akademii nauk Respubliki Kazakhstan, 1997, seriya fiziko-matematicheskaya 5 (198). C. 33–51.
Kusainova L. K. Vesovye neravenstva vlozhenii // Doklady Ministerstva nauki Akademii nauk Respubliki Kazakhstan, 1998, # 6. C. 23–32.
Kusainova L. K. O vlozhenii vesovogo prostranstva Soboleva $W^l_p(\Omega;v)$ v prostranstva Lebega $L_p(\Omega;\omega)$ // Matematicheskii sbornik, 2000, 191 (2). C. 132–148.
