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Optimal Lipschitz and $L^p$ estimates for the equation $\overline \partial u = f$ on strongly pseudo-convex domains
Author(s):
S. G.
Krantz
Journal:
Bull. Amer. Math. Soc.
82
(1976),
51-52.
MSC (1970):
Primary 35N15
MathSciNet review:
0486641
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References:
- 1.
- G. B. Folland and E. M. Stein, Estimates for the $\bar \partial \sbb$-complex and analysis on the Heisenberg group, Comm. Pure Appl. Math. 27 (1974), 429-522. MR 367477
- 2.
- G. M. Henkin, Integral representations of functions holomorphic in strictly pseudoconvex domains and some applications, Mat. Sb. 78 (120) (1969), 611-632 = Math USSR Sb. 7 (1969), 597-616. MR 40 #2902. MR 249660
- 3.
- G. M. Henkin, Integral representation of functions in strictly pseudoconvex domains and applications to the $øverline \partial $ problem, Mat. Sb. 82 (124) (1970), 300-308 = Math USSR Sb. 11 (1970), 273-281. MR 42 #534. MR 265625
- 4.
- G. M. Henkin and A. V. Romanov, Exact Hölder estimates for the solutions of the $\bar \delta $-equation, Izv. Akad. Nauk SSSR Ser. Mat. 35 (1971), 1171-1183 = Math. USSR Izv. 5 (1971), 1180-1192. MR 45 #2200. MR 293121
- 5.
- L. Hörmander, An introduction to complex analysis in several variables, Van Nostrand, Princeton, N.J., 1966. MR 34 #2933. MR 203075
- 6.
- E. M. Stein, Singular integrals and estimates for the Cauchy-Rieman equations, Bull. Amer. Math. Soc. 79 (1973), 440-445. MR 47 #3851. MR 315302
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Additional Information:
DOI:
10.1090/S0002-9904-1976-13945-6
PII:
S 0002-9904(1976)13945-6
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