On the Romanov kernel and Kuranishi's $L^2$-estimate for $\overline\partial_{\rm b}$ over a ball in the strongly pseudo convex boundary.
Takao Akahori and Harunori Ameku
Source: Pacific J. Math. Volume 149, Number 1
(1991), 1-12.
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Permanent link to this document: http://projecteuclid.org/euclid.pjm/1102644561
Zentralblatt MATH identifier: 0731.32008
Mathematical Reviews number (MathSciNet): MR1099781
References
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Zentralblatt MATH: 0411.53029
[Ak 2] T. Akahori, The new estimate for the subbundles Ej and its application tothe deformation of the boundaries of strongly pseudo convex domains, Invent. Math., 63(1981),311-334.
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[Ak 3] T. Akahori,A newapproach to thelocal embedding theorem of CR-structures for n>4(the local solvabilityfor theoperator ^ in theabstractsense),Mem. Amer. Math. Soc, 366(1987).
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Zentralblatt MATH: 0628.32025
[Am 1] H. Ameku, A local solution operatorfor dt over a certain weakly pseudo convex domain, in preparation.
[B] A. Boggess, Kernels for the tangential Cauchy-Riemann equation, Trans. Amer. Math. Soc, 269(1980), 1-49.
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[BS] A. Boggess and M.-C. Shaw, A kernelapproach to thelocal solvablity of the tangential CauchyRiemann equations,Trans. Amer. Math. Soc,289 (1980), 645-658.
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Zentralblatt MATH: 0579.35062
[HP] R. Harvey andJ.Polking, Fundamental solutions incomplex analysis, I, II, Duke Math. J.,46 (1979), 253-300,301-340.
[K] M.Kuranishi, Strongly pseudo convex CRstructures over small balls,Ann. of Math., I, 115 (1982), 451-500, II, 116 (1982), 1-64, III, 116 (1982), 249-330.
[KS] N. Kerzman and E. M. Stein, The Szeg kernel in terms ofCauchy-Fantappe kernels, Duke Math. J., 45 (1978), 197-224._
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[LR] I. Lieb and R. M. Range, The kernels of the d-Neumann operator on strictly pseudo convex domains, Math. Ann., 278 (1987), 151-173.
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Pacific Journal of Mathematics
