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SETS OF UNIQUENESS, WEAKLY SUFFICIENT SETS AND SAMPLING SETS FOR A-∞(B)

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We study a relationship between sets of uniqueness, weakly sufficient sets and sampling sets in the space A−∞(B) of holomorphic functions with polynomial growth on the unit ball of Cn (n ≥ 1).

Abstract

We study a relationship between sets of uniqueness, weakly sufficient sets and sampling sets in the space A−∞(B) of holomorphic functions with polynomial growth on the unit ball of Cn (n ≥ 1).

참고문헌 (10)

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  4. C. A. Horowitz, "Sampling sequences for A−∞", Michigan Math. J., 44(2), pp.389~398 (1997)
  5. V. Ganapathy Iyer, "On effective sets of points in relation to integral functions", Trans. Amer. Math. Soc., 43(3), pp.494~ (1938)
  6. L. H. Khoi, "Weakly sufficient sets for A−∞(D)", Publ. Mat., 42(2), pp.435~448 (1998)
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  8. X. Massaneda, "Interpolation by holomorphic functions in the unit ball with polynomial growth", Ann. Fac. Sci. Toulouse Math., 6(2), pp.277~296 (1997)
  9. X. Massaneda, "A−∞-interpolation in the ball", Proc. Edinburgh Math. Soc., 41(2), pp.359~367 (1998)
  10. E. J. Straube, "Harmonic and analytic functions admitting a distribution boundary value", Ann. Scuola Norm. Sup. Pisa Cl. Sci., 11(4), pp.559~591 (1984)

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