Bounded Toeplitz Products on the Bergman Space of the Unit Ball inmathbb{C}^n期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Bounded Toeplitz Products on the Bergman Space of the Unit Ball inmathbb{C}^n

Authors:	Jong-Do Park

Affiliation:	(1) Department of Mathematical Sciences, Seoul National University, Seoul, 151-747, Korea

Abstract:	We investigate necessary and sufficient conditions for boundedness of the operator $T_f T_{bar g}$ on the Bergman space of the unit ball $mathbb{B}_n$ for n ≥ 1, where T_f is the Toeplitz operator. Those conditions are related to boundedness of the Berezin transform of symbols f and g. We construct the inner product formula which plays a crucial role in proving the sufficiency of the conditions.

Keywords:	Primary 47B35.
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