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The superposition operators in the space of Henstock-Kurzweil integrable functions

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1419)

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  • Integrable Function
  • Representation Theorem
  • Nonlinear Integral Equation
  • Restricted Sense
  • Real Anal

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References

  1. A. Alexiewicz, Linear functionals on Denjoy integrable functions, Coll. Math. 1(1948) 289–293

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  2. V. G. Chelidze and A. G. Dzhvarsheishvili, Theory of the Denjoy integral and some of its applications (Russian), Tbilisi, 1978.

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  3. T.S. Chew, Nonlinear Henstock integrals and representation theorems, SEA Bull. Math. 12(1988), 97–108.

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  4. M. A. Kransnosel'skii, Topological methods in the theory of nonlinear integral equations (translation), Pergamon Press, New York, 1964.

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  5. P. Y. Lee and T. S. Chew, A short proof of the controlled convergence theorem for Henstock integrals, Bull. London Math. Soc. 19(1987) 60–62.

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  6. P. Y. Lee and T. S. Chew. a Riesz-type definition of the Denjoy integral, Real Anal. Exchange 11(1985/86) No. 1, 221–227.

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  7. K. C. Liao, A refinement of the controlled convergence theorem for Henstock integrals, SEA Bull. Math. 11(1987) 49–51.

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  8. W. L. C. Sargent, On the integrability of a product, J. London Math. Soc. 23(1948) 28–34.

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© 1990 Springer-Verlag

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Seng, C.T. (1990). The superposition operators in the space of Henstock-Kurzweil integrable functions. In: Bullen, P.S., Lee, P.Y., Mawhin, J.L., Muldowney, P., Pfeffer, W.F. (eds) New Integrals. Lecture Notes in Mathematics, vol 1419. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083096

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  • DOI: https://doi.org/10.1007/BFb0083096

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  • Print ISBN: 978-3-540-52322-2

  • Online ISBN: 978-3-540-46955-1

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