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Media type:
E-Article
Title:
$L^p$-Behavior of Power Series with Positive Coefficients and Hardy Spaces
Contributor:
Mateljević, Miodrag;
Pavlović, Miroslav
Published:
American Mathematical Society, 1983
Published in:
Proceedings of the American Mathematical Society, 87 (1983) 2, Seite 309-316
Language:
English
ISSN:
0002-9939;
1088-6826
Origination:
Footnote:
Description:
For the power series $f(x) = \sum^\infty_1 a_nx^n$ with $a_n \geq 0$, certain weighted $L^p$-norms of $f$ on $\lbrack 0, 1 \rbrack$ 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.