scholarly journals Monomial basis in Korenblum type spaces of analytic functions

2018 ◽  
Vol 146 (12) ◽  
pp. 5269-5278 ◽  
Author(s):  
José Bonet ◽  
Wolfgang Lusky ◽  
Jari Taskinen
Keyword(s):  
Analytic Functions ◽  
Monomial Basis ◽  
Type Spaces ◽  
Spaces Of Analytic Functions

scholarly journals On M-ideals and o-O type spaces

2017 ◽  
Vol 121 (1) ◽  
pp. 151 ◽  
Author(s):  
Karl-Mikael Perfekt
Keyword(s):  
Banach Spaces ◽  
Analytic Functions ◽  
Function Spaces ◽  
Weighted Spaces ◽  
Bounded Mean Oscillation ◽  
Mean Oscillation ◽  
Type Spaces ◽  
Invariant Spaces ◽  
Holder Spaces ◽  
Spaces Of Analytic Functions

We consider pairs of Banach spaces $(M_0, M)$ such that $M_0$ is defined in terms of a little-$o$ condition, and $M$ is defined by the corresponding big-$O$ condition. The construction is general and pairs include function spaces of vanishing and bounded mean oscillation, vanishing weighted and weighted spaces of functions or their derivatives, Möbius invariant spaces of analytic functions, Lipschitz-Hölder spaces, etc. It has previously been shown that the bidual $M_0^{**}$ of $M_0$ is isometrically isomorphic with $M$. The main result of this paper is that $M_0$ is an M-ideal in $M$. This has several useful consequences: $M_0$ has Pełczýnskis properties (u) and (V), $M_0$ is proximinal in $M$, and $M_0^*$ is a strongly unique predual of $M$, while $M_0$ itself never is a strongly unique predual.

scholarly journals On Traces in Some Analytic Spaces in Bounded Strictly Pseudoconvex Domains

2015 ◽  
Vol 2015 ◽  
pp. 1-10
Author(s):  
Romi F. Shamoyan ◽  
Olivera R. Mihić
Keyword(s):  
Analytic Functions ◽  
Smooth Boundary ◽  
Pseudoconvex Domains ◽  
Sharp Estimates ◽  
First Results ◽  
Type Spaces ◽  
Spaces Of Analytic Functions

New sharp estimates of traces of Bergman type spaces of analytic functions in bounded strictly pseudoconvex domains are obtained. These are, as far as we know, the first results of this type which are valid for any bounded strictly pseudoconvex domains with smooth boundary.

scholarly journals Mixed norm spaces of analytic functions as spaces of generalized fractional derivatives of functions in Hardy type spaces

2017 ◽  
Vol 20 (5) ◽  
Author(s):  
Alexey Karapetyants ◽  
Stefan Samko
Keyword(s):  
Analytic Functions ◽  
Fractional Derivatives ◽  
Mixed Norm ◽  
Mixed Norm Spaces ◽  
Hardy Type ◽  
Type Spaces ◽  
Generalized Fractional Derivatives ◽  
Definition Of ◽  
Derivatives Of ◽  
Spaces Of Analytic Functions

AbstractThe aim of the paper is twofold. First, we present a new general approach to the definition of a class of mixed norm spaces of analytic functions 𝓐

scholarly journals Weighted composition operators in weighted Banach spaces of analytic functions

2000 ◽  
Vol 69 (1) ◽  
pp. 41-60 ◽  
Author(s):  
M. D. Contreras ◽  
A. G. Hernandez-Diaz
Keyword(s):  
Banach Spaces ◽  
Analytic Functions ◽  
Composition Operators ◽  
Weighted Composition Operator ◽  
Essential Norm ◽  
Weighted Composition Operators ◽  
Type Spaces ◽  
Weighted Composition ◽  
Weighted Banach Spaces ◽  
Spaces Of Analytic Functions

AbstractWe characterize the boundedness and compactness of weighted composition operators between weighted Banach spaces of analytic functions and . we estimate the essential norm of a weighted composition operator and compute it for those Banach spaces which are isomorphic to c0. We also show that, when such an operator is not compact, it is an isomorphism on a subspace isomorphic to c0 or l∞. Finally, we apply these results to study composition operators between Bloch type spaces and little Bloch type spaces.

scholarly journals The Cesàro operator on Korenblum type spaces of analytic functions

2017 ◽  
Vol 69 (2) ◽  
pp. 263-281 ◽  
Author(s):  
Angela A. Albanese ◽  
José Bonet ◽  
Werner J. Ricker
Keyword(s):  
Analytic Functions ◽  
Cesàro Operator ◽  
Type Spaces ◽  
Cesaro Operator ◽  
Spaces Of Analytic Functions
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