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ON MULTIPLIERS BETWEEN SOME SPACES OF HOLOMORPHIC FUNCTIONS
Published online by Cambridge University Press: 29 March 2017
Abstract
We study function multipliers between spaces of holomorphic functions on the unit disc of the complex plane generated by symmetric sequence spaces. In the case of sequence $\ell ^{p}$ spaces we recover Nikol’skii’s results [‘Spaces and algebras of Toeplitz matrices operating on $\ell ^{p}$’, Sibirsk. Mat. Zh.7 (1966), 146–158].
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- © 2017 Australian Mathematical Publishing Association Inc.