Hölder and L p Estimates for the ∂ ¯ -equation in a class of convex domains of infinite type in C n

Hölder and L p Estimates for the ∂ ¯ -equation in a class of convex domains of infinite type in C n

This paper is devoted to the study of Hölder and Lp regularity of solutions of the Cauchy–Riemann equation ∂¯u=φon a large class admissibly decoupled, smoothly bounded, convex domains of infinite type in Cn, for n≥2.

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Veröffentlicht in:Monatshefte für Mathematik 2019-01, Vol.190 (3), p.517-540
1. Verfasser: Ly, Kim Ha
Format: Artikel
Sprache:eng
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Zusammenfassung:This paper is devoted to the study of Hölder and Lp regularity of solutions of the Cauchy–Riemann equation ∂¯u=φon a large class admissibly decoupled, smoothly bounded, convex domains of infinite type in Cn, for n≥2.
ISSN:0026-9255
1436-5081
DOI:10.1007/s00605-019-01327-0