$L^{p}$-behavior of power series with positive coefficients and Hardy spaces
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- by Miodrag Mateljević and Miroslav Pavlović PDF
- Proc. Amer. Math. Soc. 87 (1983), 309-316 Request permission
Abstract:
For the power series $f(x) = \sum \nolimits _1^\infty {{a_n}{x^n}}$ with ${a_n} \geqslant 0$, certain weighted ${L^p}$-norms of $f$ on $[0,1]$ are estimated from above and below in terms of the coefficients ${a_n}$. Some consequences of this are obtained. For example, some known results concerning Hardy spaces may be extended to a wider class of spaces.References
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Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 87 (1983), 309-316
- MSC: Primary 30D55
- DOI: https://doi.org/10.1090/S0002-9939-1983-0681840-0
- MathSciNet review: 681840