논문KCI 등재
boldmath Weighted L^p estimates for barpartial on a convex domainwith piecewise smooth boundary in mathbb C^2
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Abstract
We obtain weighted L^p estimates (1leq p<infty) for dbaron convex domains with piecewise smooth boundaries inmathbb{C}^2 by using explicit formulas of solutions introducedby Berndtsson and Andersson.
참고문헌 (12)
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- C. Menini, "Estimations pour laracute{esolution du dbar sur une intersection d'ouvertssrtictment pseudoconvexes,}", 225(1), pp.87~93 (1997)
- Michel, "Csp k-regularity for the overlinepartial-equation onstrictly pseudoconvex domains with piecewise smooth boundaries", pp.415~ (1990)
- J. Miche, "The dbar problem ondomains with piecewise smooth boundaries with applications", 351(11), pp.4365~4380 (1999)
- Range, "On Hddot{text{o}lder and BMO estimatesfor dbar on convex domains in mathbb{C}^2", pp.575~ (1992)
- "On dbar-problems on(pseudo)-convex domains, Topics in complex analysis (Warsaw,1992)", 31, pp.311~320 (1995), Polish Acad. Sci.,Warsaw
- "The Carath'eodory metric and holomorphic mapson a class of weakly pseudoconvex domains", pp.173~ (1978)
- "Uniform estimates forthe dbar-equation on domains with piecewise smooth strictlypseudoconvex boundaries", pp.325~ (1973)
- "Estimations C^k pour l'op'erateur de Cauchy-Riemann surdes domaines `a coins q-convexes et q-concaves", 244(2), pp.349~398 (2003)
관련 논문AI추천
Weighted $L^p$ estimates for $\bar\partial$ on a convex domain with piecewise smooth boundary in $\mathbb C^2$박종도, 조홍래대한수학회 · 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 제3호$L^p$-estimates for the {\large$\bar{\partial}$}-equation with exact support on $q$-convex intersectionsShaban Khidr대한수학회 · 대한수학회지2018 · 제55권 제1호Growth norm estimates for barpartialon convex domainsHong Rae ChoErn Gun Kwon대한수학회 · 대한수학회논문집2007 · 제22권 제1호
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