4.5 Article

A L2 estimate for the minimal solution of (partial derivative)over-bar on the unit ball

Journal

Publisher

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2022.126136

Keywords

L-2 estimates; (partial derivative)over-bar equation; Weighted Bergman kernels; Bergman metric

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This paper extends the L-2 estimates of the minimal solution on the unit ball B in C-n by Schuster and Varolin, and considers the estimates of weighted Bergman kernels.
We extend the result of Schuster and Varolin on L-2-estimates for the minimal solution of (partial derivative) over bar on the unit ball B in C-n. Estimates of weighted Bergman kernels are also considered. (C) 2022 Elsevier Inc. All rights reserved.

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