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On Hölder continuous universal primitives

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We prove a universality theorem from which we deduce the existence of Hölder continuous universal primitives in the sense of Marcinkiewicz.

Abstract

We prove a universality theorem from which we deduce the existence of Hölder continuous universal primitives in the sense of Marcinkiewicz.

참고문헌 (10)

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  3. Z. Buczolich, "On universal functions and series", Acta Math. Hungar, 49(3), pp.403~414 (1987)
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  5. K.-G. Grosse-Erdmann, "Universal families and hypercyclic operators", Bull. Amer. Math. Soc. (N.S.), 36(3), pp.345~381 (1999)
  6. G. Herzog, "Universality of methods approximating the derivative", Bull. Austral. Math. Soc., 73(3), pp.405~411 (2006)
  7. I. Jo´o, "On the divergence of eigenfunction expansions", Ann. Univ. Sci. Budapest. Eotvos Sect. Math., 32, pp.3~36 (1989)
  8. V. G. Krotov, "On the smoothness of universal Marcinkiewicz functions and universal trigonometric series", Soviet Math. (Iz. VUZ), 35, pp.24~28 (1991)
  9. G. G. Lorentz, "Bernstein Polynomials, Mathematical Expositions" (1953), University of Toronto Press
  10. J. Marcinkiewicz, "Sur les nombres d´eriv´es", Fundam. Math., 24, pp.305~308 (1945)

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