A spatial generalization of a theorem on Toeplitz operators
✍ Scribed by I. Yu. Linnik
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1973
- Tongue
- English
- Weight
- 176 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0001-4346
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📜 SIMILAR VOLUMES
We study the analogues of the Brown-Halmos theorem for Toeplitz operators on the Bergman space. We show that for f and g harmonic, T f T g =T h only in the trivial case, provided that h is of class C 2 with the invariant laplacian bounded. Here the trivial cases are f ¯or g holomorphic. From this w
The work is devoted to the calculation of asymptotic value of the choice number of the complete r-partite graph K m \* r = K m,. ..,m with equal part size m. We obtained the asymptotics in the case ln r = o(ln m). The proof generalizes the classical result of A.L. Rubin for the case r = 2.