WEIGHTEDL Lp ESTIMATES FOR ¯∂ ON A CONVEX DOMAIN WITH PIECEWISE SMOOTH BOUNDARY IN ℂ2

Title & Authors
WEIGHTEDL Lp ESTIMATES FOR ¯∂ ON A CONVEX DOMAIN WITH PIECEWISE SMOOTH BOUNDARY IN ℂ2
Cho, Hong-Rae; Park, Jong-Do;

Abstract
We obtain weighted $\small{L^p}$ estimates $(1{\leq}p<{\infty})\;for\;\bar{\partial}$ on convex domains with piecewise smooth boundaries in $\small{\mathbb{C}^2}$ by using explicit formulas of solutions introduced by Berndtsson and Andersson.
Keywords
weighted $\small{L^p}$ estimates for $\small{\bar{\partial}}$;convex domain;piecewise smooth boundary;totally convex;
Language
English
Cited by
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