We study zero product problem and finite rank of the Brown-Halmos type results involving products of Toeplitz operators acting on the harmonic Bergman space. We use the Berezin transform and invariant Laplacian in this paper.
机构:
Chong Qing Technol & Business Univ, Coll Math & Stat, Chongqing 400067, Peoples R ChinaChong Qing Technol & Business Univ, Coll Math & Stat, Chongqing 400067, Peoples R China
机构:
Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R ChinaChongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China
Shu, Yong Lu
Zhao, Xian Feng
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Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China
Fudan Univ, Shanghai Ctr Math Sci, Shanghai 200433, Peoples R ChinaChongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China