The Restriction Operator on Bergman Spaces
نویسندگان
چکیده
منابع مشابه
The Canonical Solution Operator to ∂ Restricted to Bergman Spaces
Abstract. We first show that the canonical solution operator to ∂ restricted to (0, 1)forms with holomorphic coefficients can be expressed by an integral operator using the Bergman kernel. This result is used to prove that in the case of the unit disc in C the canonical solution operator to ∂ restricted to (0, 1)-forms with holomorphic coefficients is a Hilbert-Schmidt operator. In the sequel w...
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ژورنال
عنوان ژورنال: The Journal of Geometric Analysis
سال: 2019
ISSN: 1050-6926,1559-002X
DOI: 10.1007/s12220-019-00178-3