Holomorphic mean Lipschitz spaces and Hardy–Sobolev spaces on the unit ball

2012 ◽  
Vol 57 (9) ◽  
pp. 995-1024 ◽  
Author(s):  
Hong Rae Cho ◽  
Kehe Zhu
Keyword(s):  
Unit Ball ◽  
Sobolev Spaces ◽  
Lipschitz Spaces ◽  
Mean Lipschitz Spaces

Zygmund Type Mean Lipschitz Spaces on the Unit Ball of ℂ n

2013 ◽  
Vol 41 (2) ◽  
pp. 543-553
Author(s):  
Ern Gun Kwon ◽  
Hong Rae Cho ◽  
Hyungwoon Koo
Keyword(s):  
Unit Ball ◽  
Lipschitz Spaces ◽  
Mean Lipschitz Spaces

scholarly journals Multipliers in Holomorphic Mean Lipschitz Spaces on the Unit Ball

2012 ◽  
Vol 2012 ◽  
pp. 1-15
Author(s):  
Hong Rae Cho
Keyword(s):  
Holomorphic Function ◽  
Unit Ball ◽  
Sufficient Conditions ◽  
Lipschitz Spaces ◽  
Pointwise Multiplier ◽  
Mean Lipschitz Spaces

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.

scholarly journals On boundedness of the weighted Bergman projections on the Lipschitz spaces

2002 ◽  
Vol 66 (3) ◽  
pp. 385-391
Author(s):  
Hong Rae Cho ◽  
Jinkee Lee
Keyword(s):  
Unit Ball ◽  
Bergman Spaces ◽  
Lipschitz Spaces ◽  
Bergman Projections

In this paper we study the boundedness of the weighted Bergman projections on the weighted subspaces of Bergman spaces and the Lipschitz spaces on the unit ball and the unit polydisc.

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