Properties of and its continuing Banach space

Authors:
P. L. Duren and A. L. Shields

Journal:
Trans. Amer. Math. Soc. **141** (1969), 255-262

MSC:
Primary 46.30; Secondary 30.00

MathSciNet review:
0244751

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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****[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****[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**(1927), no. 1, 159–209. MR**1512359**, 10.1007/BF01447865**[6]**G. H. Hardy and J. E. Littlewood,*Some properties of fractional integrals. II*, Math. Z.**34**(1932), no. 1, 403–439. MR**1545260**, 10.1007/BF01180596**[7]**-,*Some properties of conjugate functions*, J. Reine Angew. Math.**167**(1932), 405-423.**[8]**-,*Notes on the theory of series*(XX):*Generalizations of a theorem of Paley*, Quart. J. Math.**8**(1937), 161-171.**[9]**J. E. Littlewood,*Lectures on the Theory of Functions*, Oxford University Press, 1944. MR**0012121****[10]**R. E. A. C. Paley,*On the lacunary coefficients of power series*, Ann. of Math. (2)**34**(1933), no. 3, 615–616. MR**1503129**, 10.2307/1968183**[11]**A. Zygmund,*Trigonometric series. 2nd ed. Vols. I, II*, Cambridge University Press, New York, 1959. MR**0107776**

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DOI:
http://dx.doi.org/10.1090/S0002-9947-1969-0244751-8

Article copyright:
© Copyright 1969
American Mathematical Society