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A Coburn type theorem for Toeplitz operators on the Dirichlet space

โœ Scribed by Lee, Young Joo


Book ID
121652022
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
223 KB
Volume
414
Category
Article
ISSN
0022-247X

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๐Ÿ“œ SIMILAR VOLUMES


A Theorem of Brownโ€“Halmos Type for Bergm
โœ Patrick Ahern; ลฝeljko ฤŒuฤkoviฤ‡ ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 146 KB

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 ยฏor g holomorphic. From this w