scholarly journals Solid hulls of weighted Banach spaces of analytic functions on the unit disc with exponential weights

2018 ◽  
Vol 43 ◽  
pp. 521-530 ◽  
Author(s):  
José Bonet ◽  
Jari Taskinen
Keyword(s):  
Banach Spaces ◽  
Analytic Functions ◽  
Unit Disc ◽  
Exponential Weights ◽  
Weighted Banach Spaces ◽  
Spaces Of Analytic Functions

scholarly journals Fredholm Weighted Composition Operators on Weighted Banach Spaces of Analytic Functions of TypeH∞

2015 ◽  
Vol 2015 ◽  
pp. 1-6
Author(s):  
M. Carmen Gómez-Collado ◽  
David Jornet
Keyword(s):  
Banach Spaces ◽  
Analytic Functions ◽  
Unit Disc ◽  
Composition Operators ◽  
Open Unit ◽  
Weighted Composition Operators ◽  
Open Unit Disc ◽  
Weighted Composition ◽  
Weighted Banach Spaces ◽  
Spaces Of Analytic Functions

We study Fredholm (weighted) composition operators between general weighted Banach spaces of analytic functions on the open unit disc with sup-norms.

scholarly journals Composition operators between weighted Banach spaces of analytic functions

1998 ◽  
Vol 64 (1) ◽  
pp. 101-118 ◽  
Author(s):  
J. Bonet ◽  
P. Domański ◽  
M. Lindström ◽  
J. Taskinen
Keyword(s):  
Banach Spaces ◽  
Analytic Functions ◽  
Unit Disc ◽  
Composition Operators ◽  
Weighted Banach Spaces ◽  
Spaces Of Analytic Functions

AbstractWe characterize those analytic self-maps ϕ of the unit disc which generate bounded or compact composition operators Cϕ between given weighted Banach spaces H∞v or H0v of analytic functions with the weighted sup-norms. We characterize also those composition operators which are bounded or compact with respect to all reasonable weights v.

Essential Norm and Weak Compactness of Composition Operators on Weighted Banach Spaces of Analytic Functions

1999 ◽  
Vol 42 (2) ◽  
pp. 139-148 ◽  
Author(s):  
José Bonet ◽  
Paweł Dománski ◽  
Mikael Lindström
Keyword(s):  
Banach Space ◽  
Banach Spaces ◽  
Analytic Functions ◽  
Composition Operators ◽  
Essential Norm ◽  
Weak Compactness ◽  
Weakly Compact ◽  
Point Evaluation ◽  
Weighted Banach Spaces ◽  
Spaces Of Analytic Functions

AbstractEvery weakly compact composition operator between weighted Banach spaces of analytic functions with weighted sup-norms is compact. Lower and upper estimates of the essential norm of continuous composition operators are obtained. The norms of the point evaluation functionals on the Banach space are also estimated, thus permitting to get new characterizations of compact composition operators between these spaces.

Invariant subspaces of given index in Banach spaces of analytic functions

1998 ◽  
Vol 1998 (505) ◽  
pp. 23-44 ◽  
Author(s):  
Alexander Borichev
Keyword(s):  
Banach Spaces ◽  
Wide Class ◽  
Analytic Functions ◽  
Unit Disc ◽  
Bergman Spaces ◽  
Invariant Subspaces ◽  
Weighted Bergman Spaces ◽  
Common Zeros ◽  
Spaces Of Analytic Functions

Abstract For a wide class of Banach spaces of analytic functions in the unit disc including all weighted Bergman spaces with radial weights and for weighted ℓAp spaces we construct z-invariant subspaces of index n, 2 ≦ n ≦ + ∞, without common zeros in the unit disc.

scholarly journals Biduals of weighted banach spaces of analytic functions

1993 ◽  
Vol 54 (1) ◽  
pp. 70-79 ◽  
Author(s):  
K. D. Bierstedt ◽  
W. H. Summers
Keyword(s):  
Unit Ball ◽  
Banach Spaces ◽  
Open Subset ◽  
Analytic Functions ◽  
Holomorphic Functions ◽  
Supremum Norm ◽  
Closed Unit Ball ◽  
Weighted Banach Spaces ◽  
Spaces Of Analytic Functions ◽  
Continuous Weight

AbstractFor a positive continuous weight function ν on an open subset G of CN, let Hv(G) and Hv0(G) denote the Banach spaces (under the weighted supremum norm) of all holomorphic functions f on G such that ν f is bounded and ν f vanishes at infinity, respectively. We address the biduality problem as to when Hν(G) is naturally isometrically isomorphic to Hν0(G)**, and show in particular that this is the case whenever the closed unit ball in Hν0(G) in compact-open dense in the closed unit ball of Hν(G).

scholarly journals Volterra operators and semigroups in weighted Banach spaces of analytic functions

2013 ◽  
Vol 65 (2) ◽  
pp. 233-249 ◽  
Author(s):  
Manuela Basallote ◽  
Manuel D. Contreras ◽  
Carmen Hernández-Mancera ◽  
María J. Martín ◽  
Pedro J. Paúl
Keyword(s):  
Banach Spaces ◽  
Analytic Functions ◽  
Volterra Operators ◽  
Weighted Banach Spaces ◽  
Spaces Of Analytic Functions
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