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On functions with derivatives in H1

45-Minute Lectures

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

Keywords

  • Hardy Space
  • Maximal Function
  • Singular Integral Operator
  • Studia Math
  • Fourier Multiplier

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References

  1. A.P. Calderón, Estimates for singular integral operators in terms of maximal functions. Studia Math. 44 (1972), 563–582.

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  2. A.P. Calderón and R. Scott, Sobolev type inequalities for p>0. Studia Math. 62 (1978), 75–92.

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  3. R.R. Coifman and G. Weiss, Extensions of Hardy spaces and their use in analysis. Bull. Amer. Math. Soc. 83 (1977), 569–645.

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  4. R.A. DeVore and R.C. Sharpley, Maximal functions measuring smoothness. Mem. Amer. Math. Soc. 293 (1984).

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

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  6. H. Triebel, Theory of function spaces. Birkhäuser, Basel Boston Stuttgart 1983.

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© 1989 Springer-Verlag

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Janson, S. (1989). On functions with derivatives in H1 . 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/BFb0086803

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  • DOI: https://doi.org/10.1007/BFb0086803

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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