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Polynomial approximation on graphs

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References

  1. Folland, G.B., Stein, E.M.: Parametrices and estimates for the\(\bar \partial _b\) complex on strong pseudoconvex boundaries. Bull. AMS80, 253–258 (1974)

    Google Scholar 

  2. Gamelin, T.W.: Uniform algebras. Englewood Cliffs: Prentice-Hall 1969

    Google Scholar 

  3. Kerzman, N.: Hölder andL p estimates for solution of\(\bar \partial u = f\) in strongly pseudoconvex domains. I. Comm. Pure. Appl. Math.24 (1971), II Bull. AMS76, 860–865 (1970)

    Google Scholar 

  4. Krantz, S.: Optimal Lipschitz andL p estimates for the equation\(\bar \partial u = f\) on strongly pseudo-convex domains. Bull. AMS82, 51–53 (1976)

    Google Scholar 

  5. O'Farrell, A.G.: Annihilators of rational modules. J. Functional Analysis19, 373–389 (1975)

    Google Scholar 

  6. O'Farrell, A.G.: Estimates for capacities and approximation in Lipschitz norms. J. Reine Angew. Math.311/312, 101–115 (1979)

    Google Scholar 

  7. O'Farrell, A.G., Preskenis, K.: Approximation by polynomials in two complex variables. Math. Ann.246, 225–232 (1980)

    Google Scholar 

  8. Range, R.M., Y.-T. Sui:C k approximation by holomorphic functions and\(\bar \partial\) forms onC k submanifolds of a complex manifold. Math. Ann.210, 105–122 (1974)

    Google Scholar 

  9. Romanov, A.V.: Formula and bounds for solutions of the tangential Cauchy-Riemann equations (in Russian). Dokl. AN SSSR220, 532–535 (1975)

    Google Scholar 

  10. Romanov, A.V., Henkin, G.M.: Sharp Hölder bounds for solutions of the\(\bar \partial\) equation. Izv AN SSSR35, 1171–1183 (1971)

    Google Scholar 

  11. Sherbert, D.R.: The structure of ideals and point derivatives in Banach algebras of Lipschitz functions. Transactions AMS111, 240–272 (1964)

    Google Scholar 

  12. Stein, E.M.: Singular integrals and differentiability properties of functions. Princeton 1970

  13. Stein, E.M.: Singular integrals and estimates for the Cauchy-Riemann equations. Bull. AMS79, 440–445 (1973)

    Google Scholar 

  14. Weinstock, B.M.: Uniform approximation on smooth polynomially-convex sets, pp. 83–89. Complex Approximation Proceedings, Quebec, 1978, ed., B. Aupetit. Boston, Basel, Stuttgart: Birkhäuser 1980

    Google Scholar 

  15. Weinstock, B.M.: Inhomogeneous Cauchy-Riemann systems with smooth dependence on parameters. Duke Math. J.40, 307–312 (1973)

    Google Scholar 

  16. Weinstock, B.M.: Uniform approximation on the graph of a smooth map inC n. Can. J. Math.32, 1390–1396 (1980)

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Maynooth College, Maynooth, County Kildare, Eire

    A. G. O'Farrell & D. Walsh

  2. Framingham State College, 01701, Framingham, MA, USA

    K. J. Preskenis

Authors
  1. A. G. O'Farrell
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  2. K. J. Preskenis
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  3. D. Walsh
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O'Farrell, A.G., Preskenis, K.J. & Walsh, D. Polynomial approximation on graphs. Math. Ann. 266, 73–81 (1983). https://doi.org/10.1007/BF01458705

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