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An algebra of absolutely continuous functions and its multipliers

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Abstract

The aim of this paper is to study the algebraAC p of absolutely continuous functionsf on [0,1] satisfying f(0) = 0,f ’ ∈ Lp[0, 1] and the multipliers ofAC p .

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References

  1. Baker J W, Pym J S and Vasudeva H L, Totally ordered measure spaces and theirL p-algebras,Mathematika 29 (1982) 42–54

    Article  MATH  MathSciNet  Google Scholar 

  2. Bhatnagar S and Vasudeva H L, Spaces of multipliers and their pre-duals for the order multiplication on [0,1],Colloq. Math. 94 (2002) 21–36

    Article  MATH  MathSciNet  Google Scholar 

  3. Bhatnagar S, Spaces of multipliers and their pre-duals for the order multiplication on [0,1]-II,Colloq. Math. 99 (2004) 267–273

    MATH  MathSciNet  Google Scholar 

  4. Larsen R, An introduction to the theory of multipliers (Berlin, New York: Springer-Verlag) (1971)

    MATH  Google Scholar 

  5. Larsen R, The multipliers of L1[0, 1] with order convolution,Publ. Math. Debrecen 23 (1976) 239–248

    MathSciNet  Google Scholar 

  6. Okikiolu G O, Bounded linear transformations inL p space,J. London Math. Soc. 41 (1966) 407–414

    Article  MATH  MathSciNet  Google Scholar 

  7. Rickart C E, General theory of Banach algebras (New York: D. Van Nostrand Co.) (1960)

    MATH  Google Scholar 

  8. Stein E M and Weiss G, Introduction to Fourier analysis on Euclidean spaces (New Jersey: Princeton) (1971)

    MATH  Google Scholar 

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Correspondence to Savita Bhatnagar.

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Bhatnagar, S. An algebra of absolutely continuous functions and its multipliers. Proc. Indian Acad. Sci. (Math. Sci.) 115, 383–389 (2005). https://doi.org/10.1007/BF02829800

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  • DOI: https://doi.org/10.1007/BF02829800

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