Multipliers in Holomorphic Mean Lipschitz Spaces on the Unit Ball | Zendy

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Multipliers in Holomorphic Mean Lipschitz Spaces on the Unit Ball

Author(s) -

Hong Rae Cho

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/869256

Subject(s) - mathematics , holomorphic function , unit sphere , lipschitz continuity , pointwise , multiplicative function , pure mathematics , ball (mathematics) , multiplier (economics) , algebra over a field , mathematical analysis , economics , macroeconomics

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

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