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Spectral synthesis in spaces of functions with derivatives in H 1

45-Minute Lectures

Part of the Lecture Notes in Mathematics book series (LNM,volume 1384)

Keywords

  • Hardy Space
  • Banach Algebra
  • Riesz Potential
  • Spectral Synthesis
  • Regularization Argument

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References

  1. Adams, D.R., A note on the Choquet integrals with respect to Hausdorff capacity, Proceedings of the US-Swedish Conference on Function Spaces and Interpolation Theory (1986), Lund, Sweden.

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  2. Bagby, T., Quasi topologies and rational approximation, J. Functional Analysis 10 (1972), 259–268.

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  3. Fefferman, C.L., Stein, E.M., H p spaces of several variables, Acta Math. 129 (1972), 137–193.

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  4. Hedberg, L.I., Non-linear potentials and approximation in the mean by analitic functions, Math. Z. 129 (1972), 299–319.

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  5. Janson,S., On functions with derivatives in H 1, these proceedings

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  6. Krantz, S.G., Fractional integration on Hardy spaces, Studia Math. 73 (1982), 87–94.

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  7. Stein,E.M., “Singular integrals and differentiability properties of functions,” Princeton Univ. Press, 1970.

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© 1989 Springer-Verlag

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Orobitg, J. (1989). Spectral synthesis in spaces of functions with derivatives in H 1 . In: García-Cuerva, J. (eds) Harmonic Analysis and Partial Differential Equations. Lecture Notes in Mathematics, vol 1384. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086804

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  • DOI: https://doi.org/10.1007/BFb0086804

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51460-2

  • Online ISBN: 978-3-540-48134-8

  • eBook Packages: Springer Book Archive