Properties of and its continuing Banach space
Authors:
P. L. Duren and A. L. Shields
Journal:
Trans. Amer. Math. Soc. 141 (1969), 255262
MSC:
Primary 46.30; Secondary 30.00
MathSciNet review:
0244751
Fulltext PDF Free Access
References 
Similar Articles 
Additional Information
 [1]
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 𝐻^{𝑝} spaces with
0<𝑝<1, J. Reine Angew. Math. 238
(1969), 32–60. MR 0259579
(41 #4217)
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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 (1927), no. 1, 159–209. MR
1512359, http://dx.doi.org/10.1007/BF01447865
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G.
H. Hardy and J.
E. Littlewood, Some properties of fractional integrals. II,
Math. Z. 34 (1932), no. 1, 403–439. MR
1545260, http://dx.doi.org/10.1007/BF01180596
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, Some properties of conjugate functions, J. Reine Angew. Math. 167 (1932), 405423.
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, Notes on the theory of series (XX): Generalizations of a theorem of Paley, Quart. J. Math. 8 (1937), 161171.
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J.
E. Littlewood, Lectures on the Theory of Functions, Oxford
University Press, 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), no. 3, 615–616. MR
1503129, http://dx.doi.org/10.2307/1968183
 [11]
A.
Zygmund, Trigonometric series. 2nd ed. Vols. I, II, Cambridge
University Press, New York, 1959. MR 0107776
(21 #6498)
 [1]
 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), 247254. 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), 159209. MR 1512359
 [6]
 , Some properties of fractional integrals. II, Math. Z. 34 (1932), 403439. MR 1545260
 [7]
 , Some properties of conjugate functions, J. Reine Angew. Math. 167 (1932), 405423.
 [8]
 , Notes on the theory of series (XX): Generalizations of a theorem of Paley, Quart. J. Math. 8 (1937), 161171.
 [9]
 J. E. Littlewood, Lectures on the theory of functions, Oxford Univ. Press, London, 1944. MR 0012121 (6:261f)
 [10]
 R. E. A. C. Paley, On the lacunary coefficients of power series, Ann. of Math. (2) 34 (1933), 615616. MR 1503129
 [11]
 A. Zygmund, Trigonometric series, 2nd ed., Cambridge Univ. Press, Cambridge, 1959. MR 0107776 (21:6498)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S00029947196902447518
PII:
S 00029947(1969)02447518
Article copyright:
© Copyright 1969
American Mathematical Society
