Hyperbolic Hardy Classes and Logarithmic Bloch Spaces

2016 ◽  
pp. 33-42
Author(s):  
Evgueni Doubtsov
Keyword(s):  
Bloch Spaces ◽  
Hardy Classes

scholarly journals Composition Operators Mapping Logarithmic Bloch Functions into Hardy Space

2018 ◽  
Vol 2018 ◽  
pp. 1-7
Author(s):  
E. G. Kwon
Keyword(s):  
Hardy Space ◽  
Hardy Spaces ◽  
Composition Operators ◽  
Sufficient Conditions ◽  
Hyperbolic Type ◽  
Necessary And Sufficient Conditions ◽  
Bloch Spaces ◽  
Bloch Functions ◽  
Hardy Classes ◽  
Necessary And Sufficient

Characterizing the hyperbolic Hardy classes, several g-functions of hyperbolic type are introduced. Using this, necessary and sufficient conditions on the inducing self-maps are established for the boundedness of the composition operators from logarithmic Bloch spaces into Hardy spaces.

scholarly journals Traces of certain classes of holomorphic functions on finite unions of Carleson sequences

1999 ◽  
Vol 41 (1) ◽  
pp. 103-114 ◽  
Author(s):  
ANDREAS HARTMANN
Keyword(s):  
Holomorphic Functions ◽  
Spaces Of Holomorphic Functions ◽  
Hardy Classes ◽  
Type Spaces ◽  
Trace Spaces

We give a method allowing the generalization of the description of trace spaces of certain classes of holomorphic functions on Carleson sequences to finite unions of Carleson sequences. We apply the result to different classes of spaces of holomorphic functions such as Hardy classes and Bergman type spaces.

Riemann-Stieltjes operators between α -Bloch spaces and Besov spaces

2009 ◽  
Vol 282 (6) ◽  
pp. 899-911 ◽  
Author(s):  
Songxiao Li ◽  
Stevo Stević
Keyword(s):  
Besov Spaces ◽  
Bloch Spaces

scholarly journals Norm and Essential Norm of Composition Followed by Differentiation from Logarithmic Bloch Spaces toHμ∞

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Shanli Ye
Keyword(s):  
Lower Bound ◽  
Unit Disk ◽  
Weighted Space ◽  
Bloch Space ◽  
Essential Norm ◽  
Bloch Spaces

In this note we express the norm of composition followed by differentiationDCφfrom the logarithmic Bloch and the little logarithmic Bloch spaces to the weighted spaceHμ∞on the unit disk and give an upper and a lower bound for the essential norm of this operator from the logarithmic Bloch space toHμ∞.

Reverse estimates in logarithmic Bloch spaces

2013 ◽  
Vol 100 (6) ◽  
pp. 551-560 ◽  
Author(s):  
Andrei N. Petrov
Keyword(s):  
Bloch Spaces

BMOA(R, m) and capacity density Bloch spaces on hyperbolic Riemann surfaces

1996 ◽  
Vol 29 (3-4) ◽  
pp. 203-226 ◽  
Author(s):  
Rauno Aulaskari ◽  
Peter Lappan ◽  
Jie Xiao ◽  
Ruhan Zhao
Keyword(s):  
Riemann Surfaces ◽  
Bloch Spaces ◽  
Hyperbolic Riemann Surfaces
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