On solvability of the nonhomogeneous Cauchy-Riemann equation in classes of functions that are bounded with weights or systems of weights

O. V. Epifanov

doi:10.1007/bf01229435

journal article Jan 01, 1992

On solvability of the nonhomogeneous Cauchy-Riemann equation in classes of functions that are bounded with weights or systems of weights

O. V. Epifanov

Mathematical Notes Vol. 51 No. 1 pp. 54-60 · Springer Science and Business Media LLC

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References

11

[1]

L. Hörmander, Introduction to Complex Analysis in Several Variables, North-Holland, Amsterdam (1990).

[2]

C. A. Berenstein and B. A. Taylor, “A new look at interpolation theory for entire functions of one variable,” Adv. Math.,33, No. 2, 109–143 (1979). 10.1016/s0001-8708(79)80002-x

[3]

W. K. Hayman and P. B. Kennedy, Subharmonic Functions, Academic Press, New York (1976).

[4]

C. O. Kiselman, “Existence of entire functions of one variable with prescribed indicator,” Ark. Math.,7, 505–508 (1967). 10.1007/bf02590887

[5]

O. V. Epifanov, “Solvability of the Cauchy-Riemann equation with growth restrictions of functions and a weight approximation of analytic functions,” Izv. Vuzov, Matematika, No. 2, 49–52 (1990).

[6]

V. P. Palamodov, “A functor of projective limit in the category of topological linear spaces,” Mat. Sbornik,75, No. 4, 567–603 (1968).

[7]

V. S. Retakh, “On subspaces of the countable inductive limit,” Dokl. Akad. Nauk SSSR,194, No. 6, 1277–1279 (1970).

[8]

L. Hörmander, “Generators for some rings of analytic functions,” Bull. Am. Math. Soc.,73, 943–949 (1967). 10.1090/s0002-9904-1967-11860-3

[9]

J. Kelleher and B. A. Taylor, “An application of corona theorem to some rings of entire functions,” Bull. Am. Math. Soc.,73, 246–249 (1967). 10.1090/s0002-9904-1967-11702-6

[10]

O. V. Epifanov, “Equations of the convolution type in a complex domain,” in: Theory of Functions and Approximations [in Russian], Memoirs of the 2nd Saratov Winter School, January 24–February 5, Vol. 2, Saratov: Izd. SGU (1986), pp. 104–108.

[11]

O. V. Epifanov, “A theorem on separation of singularities of analytic functions and its application,” Dep. in VINITI 01.09.86, No. 6328-V, Rostov University, Rostov-on-Don (1986).

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Solvability of the inhomogeneous Cauchy–Riemann equation in projective weighted spaces

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Published: Jan 01, 1992
Vol/Issue: 51(1)
Pages: 54-60
License: View

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O. V. Epifanov

Cite This Article

O. V. Epifanov (1992). On solvability of the nonhomogeneous Cauchy-Riemann equation in classes of functions that are bounded with weights or systems of weights. Mathematical Notes, 51(1), 54-60. https://doi.org/10.1007/bf01229435

On solvability of the nonhomogeneous Cauchy-Riemann equation in classes of functions that are bounded with weights or systems of weights

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