Approximate formulas for canonical homotopy operators for the $\bar \partial$ complex in strictly pseudoconvex domains

DOI10.7146/math.scand.a-14308zbMath1026.32006OpenAlexW1570830745MaRDI QIDQ4415555

Mats Andersson, Jörgen Boo

Publication date: 6 August 2003

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7146/math.scand.a-14308

zbMATH Keywords

strictly pseudoconvex domain in \(\mathbb{C}^n\)canonical homotopy operatorstangential \(\overline{\partial}_b\) complex

Mathematics Subject Classification ID

(overlinepartial) and (overlinepartial)-Neumann operators (32W05) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) (overlinepartial_b) and (overlinepartial_b)-Neumann operators (32W10)

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Weighted \(\overline{\partial}\)-integral representations of \(C^1\)-functions in \(\mathbb C^n\) ⋮ Canonical homotopy operators for the $\overline{\partial}$ complex in strictly pseudoconvex domains