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

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.

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On Bergman type spaces of holomorphic functions and the density, in these spaces, of certain classes of singular functions

Complex Variables and Elliptic Equations ◽

10.1080/17476933.2017.1409739 ◽

2017 ◽

Vol 63 (7-8) ◽

pp. 1011-1032 ◽

Cited By ~ 4

Author(s):

T. Hatziafratis ◽

K. Kioulafa ◽

V. Nestoridis

Keyword(s):

Holomorphic Functions ◽

Spaces Of Holomorphic Functions ◽

Singular Functions ◽

Type Spaces

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Differences of composition operators between weighted-type spaces of holomorphic functions on the unit ball of

Applied Mathematics and Computation ◽

10.1016/j.amc.2009.07.036 ◽

2009 ◽

Vol 215 (5) ◽

pp. 1752-1760 ◽

Cited By ~ 7

Author(s):

Stevo Stević ◽

Elke Wolf

Keyword(s):

Unit Ball ◽

Composition Operators ◽

Holomorphic Functions ◽

Spaces Of Holomorphic Functions ◽

Type Spaces ◽

Weighted Type

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Differences of weighted composition operators between weighted Banach spaces of holomorphic functions and weighted Bloch type spaces

Cubo (Temuco) ◽

10.4067/s0719-06462010000200002 ◽

2010 ◽

Vol 12 (2) ◽

pp. 19-27 ◽

Cited By ~ 3

Author(s):

Elke Wolf

Keyword(s):

Banach Spaces ◽

Composition Operators ◽

Holomorphic Functions ◽

Weighted Composition Operators ◽

Spaces Of Holomorphic Functions ◽

Type Spaces ◽

Weighted Composition ◽

Weighted Banach Spaces

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Equivalent norms on lipschitz-type spaces of holomorphic functions

Acta Mathematica ◽

10.1007/bf02392692 ◽

1997 ◽

Vol 178 (2) ◽

pp. 143-167 ◽

Cited By ~ 59

Author(s):

Konstantin M. Dyakonov

Keyword(s):

Holomorphic Functions ◽

Equivalent Norms ◽

Spaces Of Holomorphic Functions ◽

Type Spaces

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Differences of Composition Operators Followed by Differentiation between Weighted Banach Spaces of Holomorphic Functions

Abstract and Applied Analysis ◽

10.1155/2013/608578 ◽

2013 ◽

Vol 2013 ◽

pp. 1-7

Author(s):

Cui Chen ◽

Ren-Yu Chen ◽

Ze-Hua Zhou

Keyword(s):

Banach Spaces ◽

Unit Disk ◽

Composition Operators ◽

Holomorphic Functions ◽

Spaces Of Holomorphic Functions ◽

Type Spaces ◽

Weighted Banach Spaces

We characterize the boundedness and compactness of differences of the composition operators followed by differentiation between weighted Banach spaces of holomorphic functions in the unit disk. As their corollaries, some related results on the differences of composition operators acting from weighted Banach spaces to weighted Bloch type spaces are also obtained.

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Weighted Composition Operators Between Weighted Bloch Type Spaces and Weighted Banach Spaces of Holomorphic Functions

Numerical Functional Analysis and Optimization ◽

10.1080/01630560902987915 ◽

2009 ◽

Vol 30 (5-6) ◽

pp. 646-651

Author(s):

Elke Wolf

Keyword(s):

Banach Spaces ◽

Composition Operators ◽

Holomorphic Functions ◽

Weighted Composition Operators ◽

Spaces Of Holomorphic Functions ◽

Type Spaces ◽

Weighted Composition ◽

Weighted Banach Spaces

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Factorization of some Hardy-type spaces of holomorphic functions

Comptes Rendus Mathematique ◽

10.1016/j.crma.2014.09.004 ◽

2014 ◽

Vol 352 (10) ◽

pp. 817-821 ◽

Cited By ~ 4

Author(s):

Aline Bonami ◽

Luong Dang Ky

Keyword(s):

Holomorphic Functions ◽

Spaces Of Holomorphic Functions ◽

Hardy Type ◽

Type Spaces

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New characterizations for differences of composition operators between weighted-type spaces in the unit ball

Ukrains’kyi Matematychnyi Zhurnal ◽

10.37863/umzh.v73i8.607 ◽

2021 ◽

Vol 73 (8) ◽

pp. 1129-1139

Author(s):

C. Chen

Keyword(s):

Unit Ball ◽

Necessary Conditions ◽

Composition Operators ◽

Holomorphic Functions ◽

Essential Norm ◽

Spaces Of Holomorphic Functions ◽

Type Spaces ◽

Sufficient And Necessary Conditions ◽

Weighted Type ◽

Equivalent Expressions

In this paper, we present some asymptotically equivalent expressions to the essential norm of differences of composition operators acting on weighted-type spaces of holomorphic functions in the unit ball of . Especially, the descriptions in terms of are described. From which the sufficient and necessary conditions of compactness follows immediately. Also, we characterize the boundedness of these operators.

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