Abstract
In this paper, we prove that the \(\bar{\partial }\)-operator has closed range in \(L^p\)-spaces and further the canonical solution of the \(\bar{\partial }\)-problem gains 1/2 derivative in the so-called partial \(L^p\)-Sobolev spaces as well as global boundary regularity for \(\bar{\partial }\) on products of unit balls.
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The author thanks the anonymous referees for their careful reading of the paper and valuable remarks and helpful suggestions that improved the presentation of the paper.
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Khidr, S. \(L^p\)-Regularity for \(\bar{\partial }\) on Products of Unit Balls. Iran J Sci Technol Trans Sci 43, 929–935 (2019). https://doi.org/10.1007/s40995-018-0521-0
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DOI: https://doi.org/10.1007/s40995-018-0521-0