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

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.

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 Distance Formulas on Weighted Banach Spaces of Analytic Functions

2018 ◽  
Vol 13 (3) ◽  
pp. 893-900
Author(s):  
José Bonet ◽  
Wolfgang Lusky ◽  
Jari Taskinen
Keyword(s):  
Banach Spaces ◽  
Analytic Functions ◽  
Weighted Banach Spaces ◽  
Spaces Of Analytic Functions

scholarly journals Generalized Volterra operators mapping between Banach spaces of analytic functions

2018 ◽  
Vol 189 (2) ◽  
pp. 243-261 ◽  
Author(s):  
Ted Eklund ◽  
Mikael Lindström ◽  
Maryam M. Pirasteh ◽  
Amir H. Sanatpour ◽  
Niklas Wikman
Keyword(s):  
Banach Spaces ◽  
Analytic Functions ◽  
Volterra Operators ◽  
Spaces Of Analytic Functions
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