General form of linear operators commutative with the differentiation operator in spaces of analytic functions

1973 ◽  
Vol 7 (1) ◽  
pp. 64-66 ◽  
Author(s):  
Yu. F. Korobeinik
Keyword(s):  
Analytic Functions ◽  
Differentiation Operator ◽  
Linear Operators ◽  
Spaces Of Analytic Functions

scholarly journals On linear operators and bases on Köthe spaces

2016 ◽  
Vol 1 (2) ◽  
pp. 617-624 ◽  
Author(s):  
M. Maldonado ◽  
J. Prada ◽  
M. J. Senosiain
Keyword(s):  
Analytic Functions ◽  
Generalized Derivation ◽  
Weighted Shift ◽  
Linear Operators ◽  
Shift Operators ◽  
Köthe Spaces ◽  
Unilateral Weighted Shift ◽  
Spaces Of Analytic Functions

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.

scholarly journals Composition Operators and Multiplication Operators on Weighted Spaces of Analytic Functions

2007 ◽  
Vol 2007 ◽  
pp. 1-21 ◽  
Author(s):  
J. S. Manhas
Keyword(s):  
Analytic Functions ◽  
Composition Operators ◽  
Linear Operators ◽  
Weighted Spaces ◽  
Multiplication Operators ◽  
Arbitrary System ◽  
Bounded Linear ◽  
Vector Valued ◽  
Locally Convex ◽  
Spaces Of Analytic Functions

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).

scholarly journals Integration Operators in Average Radial Integrability Spaces of Analytic Functions

2021 ◽  
Vol 18 (3) ◽  
Author(s):  
Tanausú Aguilar-Hernández ◽  
Manuel D. Contreras ◽  
Luis Rodríguez-Piazza
Keyword(s):  
Analytic Functions ◽  
Spaces Of Analytic Functions
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