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ON HÖLDER CONTINUOUS UNIVERSAL PRIMITIVES

  • 발행 : 2009.03.31

초록

We prove a universality theorem from which we deduce the existence of $H{\ddot{o}}lder$ continuous universal primitives in the sense of Marcinkiewicz.

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참고문헌

  1. A. Bogmer and A. Sovegjarto, On universal functions, Acta Math. Hungar. 49 (1987), no. 1-2, 237–239 https://doi.org/10.1007/BF01956327
  2. R. A. Bonic, Linear Functional Analysis, Notes on Mathematics and its Applications Gordon and Breach Science Publishers, New York-London-Paris, 1969
  3. Z. Buczolich, On universal functions and series, Acta Math. Hungar. 49 (1987), no. 3-4, 403–414 https://doi.org/10.1007/BF01951004
  4. M. M. Day, The spaces $L^p$ with $0, Bull. Amer. Math. Soc. 46 (1940), 816–823 https://doi.org/10.1090/S0002-9904-1940-07308-2
  5. K.-G. Grosse-Erdmann, Universal families and hypercyclic operators, Bull. Amer. Math. Soc. (N.S.) 36 (1999), no. 3, 345–381
  6. G. Herzog and R. Lemmert, Universality of methods approximating the derivative, Bull. Austral. Math. Soc. 73 (2006), no. 3, 405–411
  7. I. Joo, On the divergence of eigenfunction expansions, Ann. Univ. Sci. Budapest. Eotvos Sect. Math. 32 (1989), 3–36