논문KCI 등재
Weighted $L^p$ estimates for $\bar\partial$ on a convex domain with piecewise smooth boundary in $\mathbb C^2$
2
조회
0
다운로드
0
인용
0
참고문헌
주제분류수학
초록
Abstract
We obtain weighted Lp estimates (1 · p < 1) for @ on convex domains with piecewise smooth boundaries in C2 by using explicit formulas of solutions introduced by Berndtsson and Andersson.
참고문헌 (13)
- "Zero sets of holomorphic functions in the Nevanlinna type classon convex domains in C2", 28(2), pp.245~260 (2002)
- "Henkin-Ramirez formulas with weight factors" (1982)
- "Support functions for convex domains of nite type", 230(1), pp.145~164 (1999)
- "Uniform estimates for the Cauchy-Riemann equa-tion on q-convex wedges", gre(ble) (1993)
- "Estimations pour la r´esolution du@ sur une intersection d’ouverts srtictmentpseudoconvexes", 225(1), pp.87~93 (1997)
- "Ck-regularity for the@-equation on strictly pseudoconvexdomains with piecewise smooth boundaries" (1990)
- "The@ problem on domains with piecewise smooth boundarieswith applications", 351(11), pp.4365~4380 (1999)
- "The Cauchy-Riemann equation in convex domains" (1991)
- "On H ¨older and BMO estimates for@ on convex domains in C2" (1992)
- "On@-problems on (pseudo)-convex domains, Topics in complex analysis (War-saw, 1992)", 31, pp.311~320 (1995), Polish Acad. Sci., Warsaw
- "The Carath´eodory metric and holomorphic maps on a class of weakly pseudo-convex domains" (1978)
- "Uniform estimates for the@-equation on domains withpiecewise smooth strictly pseudoconvex boundaries" (1973)
- "Estimations Ck pour l’op´erateur de Cauchy-Riemann sur des domaines `acoins q-convexes etq-concaves", 244(2), pp.349~398 (2003)
관련 논문AI추천
boldmath Weighted L^p estimates for barpartial on a convex domainwith piecewise smooth boundary in mathbb C^2Hong Rae Cho and Jong-Do ParkHong Rae ChoJong-Do P대한수학회 · 대한수학회지2007 · 제44권 제6호$L^p$ estimates with weights for the $\overline\partial$-equationon real ellipsoids in $\Bbb C^n$안흥주대한수학회 · 대한수학회논문집2003 · 제18권 제2호Growth norm estimates for $\bar\partial$ on convex domains권언근, 조홍래대한수학회 · 대한수학회논문집2007 · 제22권 제1호H\"older estimates for $\bar\partial$ in analytic polyhedraHong Rae Cho대한수학회 · 대한수학회논문집2002 · 제17권 제3호On H\"older estimates for Cauchy transforms on convex domains in $\mathbb{C}^2$Ly Kim Ha대한수학회 · 대한수학회보2019 · 제56권 제4호$L^p$-estimates for the {\large$\bar{\partial}$}-equation with exact support on $q$-convex intersectionsShaban Khidr대한수학회 · 대한수학회지2018 · 제55권 제1호
이 간행물의 다른 논문 (22건)
A relationship between vertices and quasi-isomorphisms for a class of bracket groupsPeter Dongjun Yompp. 1197-1211The bondage number of $C_3 \times C_n$손무영, Yuan Xudong, 정현석pp. 1213-1231Weighted inequalities for commutators of potential type operatorsWenming Lipp. 1233-1241On the mean values of the homogeneous Dedekind sums and Cochrane sums in short intervalsHuaning Liupp. 1243-1254Weighted estimates for rough parametric Marcinkiewicz integralsHussain Mohammed Al-Qassempp. 1255-1266
