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2017•Bulletin of the Australian Mathematical SocietyOpen access

ON MULTIPLIERS BETWEEN SOME SPACES OF HOLOMORPHIC FUNCTIONS

BARTOSZ STANIÓW

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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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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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Available 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].

Key concepts: Mathematics, Holomorphic function, Sequence (biology), Pure mathematics, Toeplitz matrix, Complex plane, Hardy space, Mathematical analysis

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