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http://dx.doi.org/10.4134/JKMS.2007.44.6.1417

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

Cho, Hong-Rae (DEPARTMENT OF MATHEMATICS PUSAN NATIONAL UNIVERSITY)
Park, Jong-Do (DEPARTMENT OF MATHEMATICS POHANG UNIVERSITY OF SCIENCE AND TECHNOLIGY)
Publication Information
Journal of the Korean Mathematical Society / v.44, no.6, 2007 , pp. 1417-1428 More about this Journal
Abstract
We obtain weighted $L^p$ estimates $(1{\leq}p<{\infty})\;for\;\bar{\partial}$ on convex domains with piecewise smooth boundaries in $\mathbb{C}^2$ by using explicit formulas of solutions introduced by Berndtsson and Andersson.
Keywords
weighted $L^p$ estimates for $\bar{\partial}$; convex domain; piecewise smooth boundary; totally convex;
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