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2016 / September Volume 11 No.3
Closed Range Property for $\overline\partial$ on the Poinc$\acute{a}$re Disk
Published Date
2016 / September
Title
Closed Range Property for $\overline\partial$ on the Poinc$\acute{a}$re Disk
Author
Xiaoshan Li
Keyword
$\overline\partial$-operator, closed range, poinc\'are disk., $\overline\partial$-operator, closed range, poinc$\acute{a}$re disk.
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Pagination
571-578
Abstract
Making use of the Poinc$\acute{a}$re inequality with respect to a complete metric on the real line, we will give an elementary proof of the closed range property for $\overline\partial$-operator on the unit disk endowed with Poinc$\acute{a}$re metric.
DOI
10.21915/BIMAS.2016303
https://doi.org/110.21915/BIMAS.2016303
AMS Subject
Classification
32W05, 35N15, 58J32.
Received
2016-08-16
Accepted
2016-08-05
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