Interpolation of linear operators

Interpolation of linear operators
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Trans. Amer. Math. Soc. 83 (1956), 482-492

DOI: https://doi.org/10.1090/S0002-9947-1956-0082586-0

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References

Théorie des opérations linéaires

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A. P. Calderón and A. Zygmund, On the theorem of Hausdorff-Young and its extensions, Contributions to Fourier Analysis, Annals of Mathematics Studies, no. 25, Princeton University Press, Princeton, N.J., 1950, pp. 166–188. MR 0037395
I. I. Hirschman Jr., Weighted quadratic norms and Legendre polynomials, Canadian J. Math. 7 (1955), 462–482. MR 73731, DOI 10.4153/CJM-1955-050-x
I. I. Hirschman Jr., A convexity theorem for certain groups of transformations, J. Analyse Math. 2 (1953), 209–218. MR 57936, DOI 10.1007/BF02825637

Decomposition of Walsh and Fourier series

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

Sur les maximas des formes bilinéaires et sur les fonctionelles linéaires

J. D. Tamarkin and A. Zygmund, Proof of a theorem of Thorin, Bull. Amer. Math. Soc. 50 (1944), 279–282. MR 9964, DOI 10.1090/S0002-9904-1944-08137-8

An extension of a convexity theorem due to M. Riesz

Convexity theorems

A treatise on the theory of Bessel functions

Trigonometrical series