## Pacific Journal of Mathematics

### An interpolation theorem for analytic families of operators acting on certain $H^{p}$ spaces.

Eugenio Hernández

#### Article information

Source
Pacific J. Math., Volume 110, Number 1 (1984), 113-118.

Dates
First available in Project Euclid: 8 December 2004

https://projecteuclid.org/euclid.pjm/1102711101

Mathematical Reviews number (MathSciNet)
MR722742

Zentralblatt MATH identifier
0524.46050

#### Citation

Hernández, Eugenio. An interpolation theorem for analytic families of operators acting on certain $H^{p}$ spaces. Pacific J. Math. 110 (1984), no. 1, 113--118. https://projecteuclid.org/euclid.pjm/1102711101

#### References

• [1] R. Coifman and G. Weiss, Extensions of Hardy spaces and their use in analysis, Bull. Amer. Math. Soc, 83, No. 4 (1977), 569-645.
• [2] C. Fefferman, N. Riviere and Y. Sagher, Interpolation between Hp spaces, the real method, Trans. Amer. Math. Soc, 19 (1974), 75-82.
• [3] R. A. Macas, Interpolation theorems on generalized Hardy spaces, Dissertation, Washington Univ., St. Louis, Missouri (1974).
• [4] E. M. Stein, Interpolation of linear operators, Trans. Amer. Math. Soc, 83 (1956), 482-492.
• [5] E. M. Stein and G. Weiss, On the interpolation of analytic families of operators acting on Hp spaces, Thoku Math. J., 8 (1957), 318-339.
• [6] M. H. Taibleson and G. Weiss, The molecular characterization of certain Hardy spaces, Asterisque, 77 (1980), 67-149.