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Bibliography

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P. L. Duren and A. L. Shields, Coefficient multipliers of and spaces (to appear).

[2]

P. L. Duren, H. S. Shapiro and A. L. Shields, Singular measures and domains not of Smirnov type, Duke Math. J. 33 (1966), 247-254. MR 0199359 (33:7506)

[3]

P. L. Duren, B. W. Romberg and A. L. Shields, Linear functionals on spaces with , J. Reine Angew. Math. (to appear). MR 0259579 (41:4217)

[4]

T. M. Flett, On the rate of growth of mean values of regular and harmonic functions (to appear).

[5]

G. H. Hardy and J. E. Littlewood, Some new properties of Fourier constants, Math. Ann. 97 (1926), 159-209. MR 1512359

[6]

-, Some properties of fractional integrals. II, Math. Z. 34 (1932), 403-439. MR 1545260

[7]

-, Some properties of conjugate functions, J. Reine Angew. Math. 167 (1932), 405-423.

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-, Notes on the theory of series (XX): Generalizations of a theorem of Paley, Quart. J. Math. 8 (1937), 161-171.

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J. E. Littlewood, Lectures on the theory of functions, Oxford Univ. Press, London, 1944. MR 0012121 (6:261f)

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R. E. A. C. Paley, On the lacunary coefficients of power series, Ann. of Math. (2) 34 (1933), 615-616. MR 1503129

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A. Zygmund, Trigonometric series, 2nd ed., Cambridge Univ. Press, Cambridge, 1959. MR 0107776 (21:6498)