Multipliers in Holomorphic Mean Lipschitz Spaces on the Unit Ball

Hong Rae Cho
2012 Abstract and Applied Analysis  
For1≤p≤∞ands>0,letΛspbe holomorphic mean Lipschitz spaces on the unit ball inℂn. It is shown that, ifs>n/p,the spaceΛspis a multiplicative algebra. Ifs>n/p, then the spaceΛspis not a multiplicative algebra. We give some sufficient conditions for a holomorphic function to be a pointwise multiplier ofΛn/pp.
doi:10.1155/2012/869256 fatcat:dxj7o3vcajav5dcmzgzwt3vghe