A note on the Hörmander, Donnelly-Fefferman, and Berndtsson $L^2$-estimates for the $\overline {\partial }$-operator

Volume 84 / 2004

Zbigniew Błocki Annales Polonici Mathematici 84 (2004), 87-91 MSC: Primary 32W05. DOI: 10.4064/ap84-1-9


We give upper and lower bounds for constants appearing in the $L^2$-estimates for the $\kern 1.5pt\overline {\kern -1.5pt\partial }$-operator due to Donnelly–Fefferman and Berndtsson.


  • Zbigniew BłockiInstitute of Mathematics
    Jagiellonian University
    Reymonta 4
    30-059 Kraków, Poland

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