Interpolation of operators with change of measures
HTML articles powered by AMS MathViewer
- by E. M. Stein and G. Weiss
- Trans. Amer. Math. Soc. 87 (1958), 159-172
- DOI: https://doi.org/10.1090/S0002-9947-1958-0092943-6
- PDF | Request permission
References
- A. P. Calderón and A. Zygmund, A note on the interpolation of sublinear operations, Amer. J. Math. 78 (1956), 282–288. MR 82647, DOI 10.2307/2372516
- I. I. Hirschman Jr., A note on orthogonal systems, Pacific J. Math. 6 (1956), 47–56. MR 79129 Kolmogoroff, Sur les functions harmoniques conjuguées et les seriés de Fourier, Fund. Math. vol. 7 (1925). Marcinkiewicz, Sur l’interpolation d’operations, C. R. Acad. Sci. Paris, vol. 208 (1939) pp. 1272-1273. Marcinkiewicz and Zygmund, Some theorems on orthogonal systems, Fund. Math. vol. 28 (1937) pp. 309-335.
- H. R. Pitt, Theorems on Fourier series and power series, Duke Math. J. 3 (1937), no. 4, 747–755. MR 1546029, DOI 10.1215/S0012-7094-37-00363-6 M. Riesz, Sur les maxima des formes bilinéares et sur les fonctionelles linéaires, Acta Math. vol. 29 (1926) pp. 465-497.
- Elias M. Stein, Interpolation of linear operators, Trans. Amer. Math. Soc. 83 (1956), 482–492. MR 82586, DOI 10.1090/S0002-9947-1956-0082586-0 Thorin, Convexity theorems, Uppsala, 1948, pp. 1-57. Zygmund, Trigonometrical series, Warsaw, 1935. —, On the Marcinkiewicz interpolation theorem, to appear in J. Math. Pures Appl.
Bibliographic Information
- © Copyright 1958 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 87 (1958), 159-172
- MSC: Primary 46.2X
- DOI: https://doi.org/10.1090/S0002-9947-1958-0092943-6
- MathSciNet review: 0092943