Multipliers in Holomorphic Mean Lipschitz Spaces on the Unit Ball

Hong Rae Cho

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: For 1 ≤ p ≤ ∞ and s > 0, let Λsp be holomorphic mean Lipschitz spaces on the unit ball in ℂn. It is shown that, if s > n/p, the space Λsp is a multiplicative algebra. If s > n/p, then the space Λsp is not a multiplicative algebra. We give some sufficient conditions for a holomorphic function to be a pointwise multiplier of Λn/pp.

Date: 2012
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https://doi.org/10.1155/2012/869256

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:869256

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