Regularity of the tangential Cauchy-Riemann complex and applications
Michel, Joachim
Banach Center Publications, Tome 31 (1995), p. 263-273 / Harvested from The Polish Digital Mathematics Library
Publié le : 1995-01-01
EUDML-ID : urn:eudml:doc:262699
@article{bwmeta1.element.bwnjournal-article-bcpv31z1p263bwm,
     author = {Michel, Joachim},
     title = {Regularity of the tangential Cauchy-Riemann complex and applications},
     journal = {Banach Center Publications},
     volume = {31},
     year = {1995},
     pages = {263-273},
     zbl = {0847.32017},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv31z1p263bwm}
}
Michel, Joachim. Regularity of the tangential Cauchy-Riemann complex and applications. Banach Center Publications, Tome 31 (1995) pp. 263-273. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv31z1p263bwm/

[000] [1] T. Akahori, A new approach to the local embedding theorem of CR structures for n ≥ 4, Mem. Amer. Math. Soc. 366 (1987). | Zbl 0628.32025

[001] [2] A. Andreotti and C. D. Hill, Convexity and the Hans Lewy Problem I, II, Ann. Scuola Norm. Sup. Pisa 26 (1971), 325-363, 747-806.

[002] [3] A. Boggess, Kernels for the tangential Cauchy-Riemann equations, Trans. Amer. Math. Soc. 262 (1980), 1-49. | Zbl 0489.32014

[003] [4] A. Boggess and M. C. Shaw, A kernel approach to the local solvability of the tangential Cauchy-Riemann equations, ibid. 289 (1985), 643-658. | Zbl 0579.35062

[004] [5] J. Bruna and J. M. Burgués, Holomorphic approximation and estimates for the ∂̅-equation on strictly pseudoconvex non-smooth domains, Duke Math. J. 55 (1987), 539-596. | Zbl 0645.32009

[005] [6] G. M. Henkin, The Lewy equation and analysis on pseudoconvex manifolds, Russian Math. Surveys. 32 (1977), 59-130. | Zbl 0382.35038

[006] [7] J. J. Kohn and H. Rossi, On the extension of holomorphic functions from the boundary of a complex manifold, Ann. of Math. 81 (1965), 451-472. | Zbl 0166.33802

[007] [8] M. Kuranishi, Strongly pseudoconvex CR structures over small balls, ibid., I, 115 (1982), 451-500; II, 116 (1982), 1-64; III, 116 (1982), 249-330. | Zbl 0505.32018

[008] [9] H. Lewy, On the local character of the solution of an atypical linear differential equation in three variables and a related theorem for regular functions of two complex variables, ibid. 64 (1956), 514-522. | Zbl 0074.06204

[009] [10] I. Lieb and R. M. Range, Lösungsoperatoren für den Cauchy-Riemann Komplex mit Ck-Abschätzungen, Math. Ann. 253 (1980), 145-164. | Zbl 0441.32007

[010] [11] L. Ma, Hölder and Lp-estimates for the ∂̅-equation on non-smooth strictly q-convex domains, Manuscripta Math. 74 (1992), 177-193. | Zbl 0754.35092

[011] [12] L. Ma and J. Michel, Local regularity for the tangential Cauchy-Riemann complex, J. Reine Angew. Math. 442 (1993), 63-90. | Zbl 0781.32022

[012] [13] L. Ma and J. Michel, Regularity of local embeddings of strictly pseudoconvex CR structures, ibid. 447 (1994), 147-164. | Zbl 0791.32007

[013] [14] L. Ma and J. Michel, On the regularity of CR structures for almost CR vector bundles, Math. Z. 218 (1995), 135-142. | Zbl 0816.32016

[014] [15] B. Malgrange, Ideals of Differentiable Functions, Oxford University Press, Oxford, 1966.

[015] [16] J. Michel, Randregularität des ∂̅-Problems für die Halbkugel im n, Manuscripta Math. 55 (1986), 239-268. | Zbl 0592.32016

[016] [17] J. Michel, Randregularität des ∂̅-Problems für stückweise streng pseudokonvexe Gebiete in n, Math. Ann. 280 (1988), 46-68.

[017] [18] K. Peters, Lösungsoperatoren für die ∂̅-Gleichung auf nichttransversalen Durchschnitten streng pseudokonvexer Gebiete, Diss. A, Berlin, 1990.

[018] [19] R. M. Range and Y. T. Siu, Uniform estimates for the ∂̅-equation on domains with piecewise smooth strictly pseudoconvex boundaries, Math. Ann. 206 (1973), 325-354. | Zbl 0248.32015

[019] [20] A. V. Romanov, A formula and estimates for solutions of the tangential Cauchy-Riemann equation, Mat. Sb. 99 (1976), 58-83 (in Russian).

[020] [21] R. T. Seeley, Extensions of C-functions defined in a half space, Proc. Amer. Math. Soc. 15 (1964), 625-626. | Zbl 0127.28403

[021] [22] M. C. Shaw, Hölder and Lp-estimates for ̅b on weakly pseudoconvex boundaries in 2, Math. Ann. 279 (1988), 635-652. | Zbl 0617.32031

[022] [23] M. C. Shaw, Lp-estimates for local solutions of ̅b on strongly pseudoconvex CR manifolds, ibid. 288 (1990), 35-62.

[023] [24] M. C. Shaw, Optimal Hölder and Lp-estimates for ̅b on the boundaries of real ellipsoids in n, Trans. Amer. Math. Soc. 324 (1991), 213-234.

[024] [25] S. Webster, On the local solution of the tangential Cauchy-Riemann equations, Ann. Inst. H. Poincaré Anal. Non Linéaire 6 (1989), 167-182. | Zbl 0679.32019

[025] [26] S. Webster, On the proof of Kuranishi's embedding theorem, ibid., 183-207. | Zbl 0679.32020

[026] [27] S. Webster, A new proof of the Newlander-Nirenberg theorem, Math. Z. 201 (1989), 303-316. | Zbl 0651.32004

[027] [28] S. Webster, The integrability problem for CR vector bundles, in: Proc. Sympos. Pure Math. 52 (1991), 355-368. | Zbl 0744.32002