Let Bn be the open unit ball in Cn and Bn×Bn. The symmetric lifting operator which lifts analytic functions from H(Bn) to H(Bn2) is defined as follow L(f)(z,w) = f(z)-f(w)/z-w. In this paper we investigate the action of symmetric lifting operator on the Bergman space in the unit ball. Also, we state a characterization for Dirichlet space and consider symmetric lifting operator on the Dirichlet space in the unit ball.
Hassanlou, M., & Abbasi, E. (2023). Bergman and Dirichlet spaces in the unit ball and symmetric lifting operator. AUT Journal of Mathematics and Computing, 4(2), 155-160. doi: 10.22060/ajmc.2022.21778.1107
MLA
Mostafa Hassanlou; Ebrahim Abbasi. "Bergman and Dirichlet spaces in the unit ball and symmetric lifting operator". AUT Journal of Mathematics and Computing, 4, 2, 2023, 155-160. doi: 10.22060/ajmc.2022.21778.1107
HARVARD
Hassanlou, M., Abbasi, E. (2023). 'Bergman and Dirichlet spaces in the unit ball and symmetric lifting operator', AUT Journal of Mathematics and Computing, 4(2), pp. 155-160. doi: 10.22060/ajmc.2022.21778.1107
VANCOUVER
Hassanlou, M., Abbasi, E. Bergman and Dirichlet spaces in the unit ball and symmetric lifting operator. AUT Journal of Mathematics and Computing, 2023; 4(2): 155-160. doi: 10.22060/ajmc.2022.21778.1107
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