Forthcoming papers
Mat. Sb.:
Mat. Sb. (N.S.), 1969,	Volume 78(120),	Number 4,	Pages 611–632	(Mi msb3573)
Integral representations of functions holomorphic in strictly pseudo-convex domains and some applications
G. M. Henkin
Mathematics of the USSR-Sbornik, 1969, 7:4, 597–616
Bibliographic databases:
UDC: 517.551
MSC: 32A26, 32T05, 32A10
Citation: G. M. Henkin, "Integral representations of functions holomorphic in strictly pseudo-convex domains and some applications", Mat. Sb. (N.S.), 78(120):4 (1969), 611–632; Math. USSR-Sb., 7:4 (1969), 597–616
\Bibitem{Hen69}
\by G.~M.~Henkin
\paper Integral representations of functions holomorphic in strictly pseudo-convex domains and some applications
\jour Mat. Sb. (N.S.)
\vol 78(120)
\mathnet{http://mi.mathnet.ru/msb3573}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=249660}
\jour Math. USSR-Sb.
\crossref{https://doi.org/10.1070/SM1969v007n04ABEH001105}
http://mi.mathnet.ru/eng/msb3573
http://mi.mathnet.ru/eng/msb/v120/i4/p611
A. I. Petrosyan, "Uniform approximation of functions by polynomials on Weil polyhedra", Math. USSR-Izv., 4:6 (1970), 1250–1271
G. M. Henkin, "Integral representation of functions in strictly pseudoconvex domains and applications to the $\overline\partial$-problem", Math. USSR-Sb., 11:2 (1970), 273–281
A. V. Romanov, G. M. Henkin, "Exact Hölder estimates for the solutions of the $\bar\partial$-equation", Math. USSR-Izv., 5:5 (1971), 1180–1192
B. S. Mityagin, G. M. Henkin, "Linear problems of complex analysis", Russian Math. Surveys, 26:4 (1971), 99–164
P. L. Polyakov, "O banakhovykh kogomologiyakh rassloennykh prostranstv", UMN, 26:4(160) (1971), 243–244
F. Reese Harvey, R. O. Wells, "Holomorphic approximation and hyperfunction theory on aC 1 totally real submanifold of a complex manifold", Math Ann, 197:4 (1972), 287
G. M. Henkin, "Continuation of bounded holomorphic functions from submanifolds in general position to strictly pseudoconvex domains", Math. USSR-Izv., 6:3 (1972), 536–563
P. L. Polyakov, "Banach cohomology of piecewise strictly pseudoconvex domains", Math. USSR-Sb., 17:2 (1972), 237–256
Brian Cole, R.Michael Range, "A-measures on complex manifolds and some applications", Journal of Functional Analysis, 11:4 (1972), 393
M. I. Kadets, B. S. Mityagin, "Complemented subspaces in Banach spaces", Russian Math. Surveys, 28:6 (1973), 77–95
Bui Doan Khanh, "Les A-mesures sur le tore de deux dimensions et le calcul symbolique de deux contractions permutables", Journal of Functional Analysis, 15:1 (1974), 33
V. N. Senichkin, "On the approximation of functions of several complex variables on fat compact subsets of $\mathbf C^n$ by polynomials", Math. USSR-Sb., 26:2 (1975), 260–279
A. V. Romanov, "A formula and estimates for the solutions of the tangential Cauchy–Riemann equation", Math. USSR-Sb., 28:1 (1976), 49–71
R. O. Uells (ml.), "Teoriya funktsii na differentsiruemykh mnogoobraziyakh v $\mathbb C^n$", UMN, 33:1(199) (1978), 157–193
R. A. Airapetyan, "Boundary properties of an integral of Cauchy–Leray type in piecewise smooth domains in $\mathbf C^n$, and some applications", Math. USSR-Sb., 40:1 (1981), 1–20
A. G. Sergeev, G. M. Henkin, "Uniform estimates for solutions of the $\overline\partial$-equation in pseudoconvex polyhedra", Math. USSR-Sb., 40:4 (1981), 469–507
R. A. Airapetyan, "Analytic representations for $\operatorname{CR}$-functions satisfying Hölder's condition", Russian Math. Surveys, 35:5 (1980), 247–248
Boggess A., "Kernels for the Local Solvability of the Tangential Cauchy-Riemann Equations", Duke Math. J., 47:4 (1980), 903–921
Boggess A., "Kernels for the Tangential Cauchy-Riemann Equations", Trans. Am. Math. Soc., 262:1 (1980), 1–49
Bernd Droste, "Holomorphic approximation of ultradifferentiable functions", Math Ann, 257:3 (1981), 293
Jean Leray, "Prolongements du theoreme de Cauchy-Kowalewski", Seminario Mat e Fis di Milano, 52:1 (1982), 35
Brian J Cole, T.W Gamelin, "Tight uniform algebras and algebras of analytic functions", Journal of Functional Analysis, 46:2 (1982), 158
Bourgain J., "The Dimension Conjecture for Polydisk Algebras", Isr. J. Math., 48:4 (1984), 289–304
Janas J., "On Integral Formulas and their Applications in Functional-Calculus", J. Math. Anal. Appl., 114:2 (1986), 328–339
Huiping Li, "BMO, VMO and Hankel operators on the Bergman space of strongly pseudoconvex domains", Journal of Functional Analysis, 106:2 (1992), 375
L. A. Aizenberg, A. M. Kytmanov, "On the possibility of holomorphic extension, into a domain, of functions defined on a connected piece of its boundary. II", Russian Acad. Sci. Sb. Math., 78:1 (1994), 1–10
Drinovec-Drnovsek, B, "Approximation of holomorphic mappings on strongly pseudoconvex domains", Forum Mathematicum, 20:5 (2008), 817
Barrett, DE, "The spectrum of the Leray transform for convex Reinhardt domains in C-2", Journal of Functional Analysis, 257:9 (2009), 2780
Sayed Saber, "Solvability of the tangential Cauchy-Riemann equations on boundaries of strictly q-convex domains", Lobachevskii J Math, 32:3 (2011), 189
Sayed Saber, "Global Boundary Regularity for the
$${\overline\partial}$$
-problem on Strictly q-convex and q-concave Domains", Complex Anal. Oper. Theory, 6:6 (2012), 1157
S. Saber, "The $\bar \partial $ -problem on q-pseudoconvex domains with applications", Math. Slovaca, 63:3 (2013), 521
R. F. Shamoyan, S. M. Kurilenko, "On traces of analytic Herz and Bloch type spaces in bounded strongly pseudoconvex domains in $\mathbb{C}^{n}$", Probl. anal. Issues Anal., 4(22):1 (2015), 73–94
Bourgain J., "on Uniformly Bounded Bases in Spaces of Holomorphic Functions", Am. J. Math., 138:2 (2016), 571–584
B. Berndtsson, S. V. Kislyakov, R. G. Novikov, V. M. Polterovich, P. L. Polyakov, A. E. Tumanov, A. A. Shananin, C. L. Epstein, "Gennadi Markovich Henkin (obituary)", Russian Math. Surveys, 72:3 (2017), 547–570
Full text: 163