Toeplitz operators with BMO symbols on the weighted Bergman space of the unit ball

Autor:	Chao Mei Liu, Yufeng Lu, Kan Zhang
Rok vydání:	2011
Předmět:	Berezin transform Discrete mathematics Unit sphere Compact space Bergman space Applied Mathematics General Mathematics Mathematical analysis Symbol (formal) Toeplitz matrix Mathematics Toeplitz operator
Zdroj:	Acta Mathematica Sinica, English Series. 27:2129-2142
ISSN:	1439-7617 1439-8516
DOI:	10.1007/s10114-011-0038-3
Popis:	In this paper we prove that the boundedness and compactness of Toeplitz operator with a BMOα1 symbol on the weighted Bergman space Aα2(Bn) of the unit ball is completely determined by the behavior of its Berezin transform, where α > −1 and n ≥ 1.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::1c47e5773f40f0f0b11284a8579dd11e https://doi.org/10.1007/s10114-011-0038-3 Zobrazit plný text záznamu Plný text ve formátu PDF