Uniform estimates for the ${\bar \partial }$-equation on intersections of strictly pseudoconvex domains
HTML articles powered by AMS MathViewer
- by R. Michael Range and Yum-Tong Siu PDF
- Bull. Amer. Math. Soc. 78 (1972), 721-723
References
- Errett Bishop, Differentiable manifolds in complex Euclidean space, Duke Math. J. 32 (1965), 1–21. MR 200476
- G. M. Henkin, Integral representation of functions which are holomorphic in strictly pseudoconvex regions, and some applications, Mat. Sb. (N.S.) 78 (120) (1969), 611–632 (Russian). MR 0249660
- G. M. Henkin, Integral representation of functions in strongly pseudoconvex regions, and applications to the $\overline \partial$-problem, Mat. Sb. (N.S.) 82 (124) (1970), 300–308 (Russian). MR 0265625
- G. M. Henkin, A uniform estimate for the solution of the $\bar \partial$-problem in a Weil region, Uspehi Mat. Nauk 26 (1971), no. 3(159), 211–212 (Russian). MR 0294685
- Hans Grauert and Ingo Lieb, Das Ramirezsche Integral und die Lösung der Gleichung $\bar \partial f=\alpha$ im Bereich der beschränkten Formen, Rice Univ. Stud. 56 (1970), no. 2, 29–50 (1971) (German). MR 273057
- R. C. Gunning, Local moduli for complex analytic vector bundles, Math. Ann. 195 (1971), 51–78. MR 293653, DOI 10.1007/BF02059415
- Norberto Kerzman, Hölder and $L^{p}$ estimates for solutions of $\bar \partial u=f$ in strongly pseudoconvex domains, Comm. Pure Appl. Math. 24 (1971), 301–379. MR 281944, DOI 10.1002/cpa.3160240303
- Walter Koppelman, The Cauchy integral for differential forms, Bull. Amer. Math. Soc. 73 (1967), 554–556. MR 216027, DOI 10.1090/S0002-9904-1967-11744-0
- Ingo Lieb, Die Cauchy-Riemannschen Differentialgleichungen auf streng pseudokonvexen Gebieten. Beschränkte Lösungen, Math. Ann. 190 (1970/71), 6–44 (German). MR 283235, DOI 10.1007/BF01349966
- Enrique Ramírez de Arellano, Ein Divisionsproblem und Randintegraldarstellungen in der komplexen Analysis, Math. Ann. 184 (1969/70), 172–187 (German). MR 269874, DOI 10.1007/BF01351561
- E. L. Stout, On the multiplicative Cousin problem with bounded data, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (3) 27 (1973), 1–17. MR 367282
Additional Information
- Journal: Bull. Amer. Math. Soc. 78 (1972), 721-723
- MSC (1970): Primary 3215, 3222; Secondary 3250
- DOI: https://doi.org/10.1090/S0002-9904-1972-13003-9
- MathSciNet review: 0310456