scholarly journals The Support Points of the Unit Ball in Bloch Space

1994 ◽  
Vol 123 (2) ◽  
pp. 318-335 ◽  
Author(s):  
M Bonk
Keyword(s):  
Unit Ball ◽  
Bloch Space ◽  
Support Points

scholarly journals Extended Cesáro operators between generalized Besov spaces and Bloch type spaces in the unit ball

2009 ◽  
Vol 7 (3) ◽  
pp. 209-223 ◽  
Author(s):  
Ze-Hua Zhou ◽  
Min Zhu
Keyword(s):  
Unit Ball ◽  
Besov Space ◽  
Besov Spaces ◽  
Complex Space ◽  
Bloch Space ◽  
Sufficient Conditions ◽  
Cesàro Operator ◽  
Type Spaces ◽  
Necessary And Sufficient ◽  
Cesaro Operator

Let 𝑔 be a holomorphic of the unit ballBin then-dimensional complex space, and denote byTgthe extended Cesáro operator with symbolg. Let 0 <p< +∞, −n− 1 <q< +∞,q> −1 and α > 0, starting with a brief introduction to well known results about Cesáro operator, we investigate the boundedness and compactness ofTgbetween generalized Besov spaceB(p, q)and 𝛼α- Bloch spaceℬαin the unit ball, and also present some necessary and sufficient conditions.

scholarly journals Differential-free Characterisation of Smooth Mappings with Controlled Growth

2018 ◽  
Vol 61 (3) ◽  
pp. 628-636 ◽  
Author(s):  
Marijan Marković
Keyword(s):  
Unit Ball ◽  
Bloch Space ◽  
Controlled Growth ◽  
Smooth Functions

AbstractIn this paper we give some generalizations and improvements of the Pavlović result on the Holland–Walsh type characterization of the Bloch space of continuously differentiable (smooth) functions in the unit ball in Rm.

scholarly journals WEIGHTED LIPSCHITZ CONTINUITY AND HARMONIC BLOCH AND BESOV SPACES IN THE REAL UNIT BALL

2005 ◽  
Vol 48 (3) ◽  
pp. 743-755 ◽  
Author(s):  
Guangbin Ren ◽  
Uwe Kähler
Keyword(s):  
Unit Ball ◽  
Besov Spaces ◽  
Lipschitz Continuity ◽  
Bloch Space ◽  
The Real

AbstractThe characterization by weighted Lipschitz continuity is given for the Bloch space on the unit ball of $\mathbb{R}^n$. Similar results are obtained for little Bloch and Besov spaces.

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