Hokkaido Mathematical Journal

KANJIN Yuichi, SATO Kunio,

Paley's inequality of integral transform type.

Hokkaido Mathematical Journal, 38 (2009) pp.233-247

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Abstract

Let $\{n_k\}_{k=1}^\infty$ be a sequence of positive integers with Hadamard gap. For an analytic function $F(z) = \sum_{n=0}^{\infty}a_n z^n$ in the unit disc satisfying $\sup_{0

MSC(Primary)42A38
MSC(Secondary)42A55
Uncontrolled KeywordsPaley's inequality, Hankel transform.