Singularities of linear operators in spaces of analytic functions

Author(s):  
S. V. Hruščev
2016 ◽  
Vol 1 (2) ◽  
pp. 617-624 ◽  
Author(s):  
M. Maldonado ◽  
J. Prada ◽  
M. J. Senosiain

AbstractWe make a survey of results published by the authors about the backward and forward unilateral weighted shift operators in Kóthe spaces, the so-called generalized derivation and integration operators, extending well-known results for spaces of analytic functions.


2007 ◽  
Vol 2007 ◽  
pp. 1-21 ◽  
Author(s):  
J. S. Manhas

LetVbe an arbitrary system of weights on an open connected subsetGofℂN(N≥1)and letB(E)be the Banach algebra of all bounded linear operators on a Banach spaceE. LetHVb(G,E)andHV0(G,E)be the weighted locally convex spaces of vector-valued analytic functions. In this survey, we present a development of the theory of multiplication operators and composition operators from classical spaces of analytic functionsH(G)to the weighted spaces of analytic functionsHVb(G,E)andHV0(G,E).


Author(s):  
Tanausú Aguilar-Hernández ◽  
Manuel D. Contreras ◽  
Luis Rodríguez-Piazza

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