Pacific Journal of Mathematics

Hardy spaces and oscillatory singular integrals. II.

Yibiao Pan

Article information

Source
Pacific J. Math., Volume 168, Number 1 (1995), 167-182.

Dates
First available in Project Euclid: 8 December 2004

Permanent link to this document
https://projecteuclid.org/euclid.pjm/1102620681

Mathematical Reviews number (MathSciNet)
MR1331997

Zentralblatt MATH identifier
0846.42010

Subjects
Primary: 42B20: Singular and oscillatory integrals (Calderón-Zygmund, etc.)
Secondary: 47G10: Integral operators [See also 45P05]

Citation

Pan, Yibiao. Hardy spaces and oscillatory singular integrals. II. Pacific J. Math. 168 (1995), no. 1, 167--182. https://projecteuclid.org/euclid.pjm/1102620681


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References

  • [1] Chanillo and M. Christ, Weak (1,1) bounds for oscillatory singular inte- grals, Duke Nath. J., 55 (1987), 141-155.
  • [2] L. H0rmander, The Analysis of Linear Partial Differential Operators I, Springer-Verlag, Berlin-New York, 1986.
  • [3] A. Nagel and S. Wainger, Hilbert transform associated with plane curves, Trans Amer. Math. Soc, 223 (1976), 235-252.
  • [4] Y. Pan, Hardy spaces and oscillatory singular integrals,Rev. Mat, Iberoamer- icana, 7 (1991), 55-64.
  • [5] Y. Pan, Weak (1,1) estimate for oscillatory singular integrals with real- analytic phases, Proc. Amer. Math. Soc, 120 (1994), 789-802.
  • [6] Y. Pan, Uniform estimates for oscillatory integral operators, J. Funct. Anal., 100 (1991), 207-220.
  • [7] Y. Pan, Boundedness of oscillatory singular integrals on Hardy spaces: II, Indiana U. Math J., 41 (1992), 279-293.
  • [8] D. H. Phong and D. M. Stein, Hilbert integrals, singular integrals and Radon transforms, I, Acta Math., 57 (1987), 179-194.
  • [9] F. Ricci and E. M. Stein, Harmonic analysis on nilpotent groups and singular integrals, I, J. Funct. Anal., 73 (1987), 179-194.
  • [10] E. M. Stien, Oscillatory integrals in Fourier analysis, in Beijing Lectures in Harmonic Analysis, Princeton University Press, Princeton, 1986.
  • [11] E. M. Stein and G. Weiss, Introdustion to Fourier Analysis on Euclidean Spaces, Princeton University Press, Princeton, 1971.
  • [12] A. Zygmund, Trigonometric Series, Cambridge University Press, Cam- bridge, 1959.

See also

  • Yibiao Pan. Hardy spaces and oscillatory singular integrals. I [MR 92e:42009] Rev. Mat. Iberoamericana 7 1991 1 55--64.