Literature Cited
A. P. Kopylov, “On the stability of classes of higher-dimensional holomorphic maps. I. The stability concept. Liuoville's theorem,” Sib. Mat. Zh.,23, No. 2, 83–111 (1982).
S. L. Sobolev, Applications of Functional Analysis in Mathematical Physics, Am. Math. Soc. (1979).
L. Bers, F. John, and M. Schechter, Partial Differential Equations, Lectures on Applied Mathematics, Wiley-Interscience, New York (1964).
L. Schwartz, Variedades Analiticas Conplejas. Ecuaciones Diferenciales Parciales Elipticas, Univ. Nacional de Colombia, Bogota (1956).
A. P. Calderon, “On the differentiability of absolutely continuous functions,” Riv. Mat. Univ. Parma,2, 203–213 (1951).
I. N. Vekua, Generalized Analytic Function, Pergamon (1962).
A. V. Abrosimov, “A Beltrami system with several independent complex variables,” Dokl. Akad. Nauk SSSR,236, No. 6, 1289–1292 (1977).
L. Schwartz, Analyse Mathématique, Vols. I, II, Hermann, Paris (1967).
L. A. Aizenberg and A. P. Yuzhakov, Integral Representations and Residues in Higher-Dimensional Complex Analysis [in Russian], Nauka, Novosibirsk (1979).
A. P. Calderon and A. Zygmund, “On the existence of certain singular Integrals,” Acta Math.,88, 85–139 (1952).
S. G. Mikhlin, Multidimensional Singular Integrals and Integral Equations [in Russian], Fizmatgiz, Moscow (1962).
E. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton Univ. Press (1970).
O. A. Ladyzhenskaya and N. N. Ural'tseva, Linear and Quasilinear Elliptic Equations, Academic Press (1968).
A. M. Kytmanov and L. A. Aizenberg, “On the holomorphicity of analytic functions represented by the Martinelli-Bochner integral,” Izv. Akad. Nauk Armiyan SSR, Ser. Mat.,13, No. 2, 158–169 (1978).
Additional information
Mathematics Institute, Siberian Branch, Academy of Sciences of the USSR, Novosibirsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 23, No. 4, pp. 65–89, July–August, 1982.
Rights and permissions
About this article
Cite this article
Kopylov, A.P. Stability of classes of higher-dimensional holomorphic maps. II. Stability of classes of holomorphic maps. Sib Math J 23, 500–519 (1982). https://doi.org/10.1007/BF00968655
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00968655