Estimates for ∂¯ on Domains in Cn and CPn

In this paper, we survey some results of the Cauchy–Riemann equation on domains in C n and C P n related to Sibony’s work. We also raise many questions on estimates for ∂ ¯ for smooth and non-smooth domains.

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Bibliographische Detailangaben
Veröffentlicht in:	The Journal of geometric analysis 2023, Vol.33 (6)
1. Verfasser:	Shaw, Mei-Chi
Format:	Artikel
Sprache:	eng
Schlagworte:	Abstract Harmonic Analysis Cauchy-Riemann equations Convex and Discrete Geometry Differential Geometry Domains Dynamical Systems and Ergodic Theory Estimates Fourier Analysis Geometry Global Analysis and Analysis on Manifolds Mathematics Mathematics and Statistics Nessim Sibony: In Memoriam
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Beschreibung
Zusammenfassung:	In this paper, we survey some results of the Cauchy–Riemann equation on domains in C n and C P n related to Sibony’s work. We also raise many questions on estimates for ∂ ¯ for smooth and non-smooth domains.
ISSN:	1050-6926 1559-002X
DOI:	10.1007/s12220-023-01196-y