Erratum and addendum to the paper "Compactness and essential norms of composition operators on Orlicz-Lorentz spaces" [Applied Mathematics Letters 25 (2012) 1778--1783]

2014 ◽  
Vol 54 (2) ◽  
Author(s):  
Yunan Cui ◽  
Henryk Hudzik ◽  
Rajeev Kumar ◽  
Romesh Kumar
Keyword(s):  
Composition Operators ◽  
Applied Mathematics ◽  
Lorentz Spaces

scholarly journals Compactness and essential norms of composition operators on Orlicz–Lorentz spaces

2012 ◽  
Vol 25 (11) ◽  
pp. 1778-1783 ◽  
Author(s):  
Yunan Cui ◽  
Henryk Hudzik ◽  
Rajeev Kumar ◽  
Romesh Kumar
Keyword(s):  
Composition Operators ◽  
Lorentz Spaces

scholarly journals Atomic Decomposition of Weighted Lorentz Spaces and Operators

2014 ◽  
Vol 2014 ◽  
pp. 1-9
Author(s):  
Eddy Kwessi ◽  
Geraldo de Souza ◽  
Fidele Ngwane ◽  
Asheber Abebe
Keyword(s):  
Atomic Decomposition ◽  
Composition Operators ◽  
Lorentz Spaces ◽  
Weighted Lorentz Spaces

We obtain an atomic decomposition of weighted Lorentz spaces for a class of weights satisfying the Δ2condition. Consequently, we study operators such as the multiplication and composition operators and also provide Hölder’s-type and duality-Riesz type inequalities on these weighted Lorentz spaces.

scholarly journals Orlicz-Lorentz Spaces and their Composition Operators

2015 ◽  
Vol 34 (1) ◽  
pp. 85-105 ◽  
Author(s):  
René Erlin Castillo ◽  
Héctor Camilo Chaparro ◽  
Julio César Ramos Fernández
Keyword(s):  
Composition Operators ◽  
Lorentz Spaces

WEIGHTED COMPOSITION OPERATORS BETWEEN LORENTZ SPACES

2020 ◽  
pp. 1-13
Author(s):  
CHING-ON LO ◽  
ANTHONY WAI-KEUNG LOH
Keyword(s):  
Measure Space ◽  
Composition Operators ◽  
Lorentz Spaces ◽  
Weighted Composition Operators ◽  
Weighted Composition

Abstract We investigate the boundedness, compactness, invertibility and Fredholmness of weighted composition operators between Lorentz spaces. It is also shown that the classes of Fredholm and invertible weighted composition maps between Lorentz spaces coincide when the underlying measure space is nonatomic.

scholarly journals A Note on Multiplication and Composition Operators in Lorentz Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-10 ◽  
Author(s):  
Eddy Kwessi ◽  
Paul Alfonso ◽  
Geraldo De Souza ◽  
Asheber Abebe
Keyword(s):  
Composition Operators ◽  
Lorentz Spaces

scholarly journals WEIGHTED COMPOSITION OPERATORS ON LORENTZ SPACES

2007 ◽  
Vol 44 (4) ◽  
pp. 701-708 ◽  
Author(s):  
Subhash Chander Arora ◽  
Gopal Datt ◽  
Satish Verma
Keyword(s):  
Composition Operators ◽  
Lorentz Spaces ◽  
Weighted Composition Operators ◽  
Weighted Composition

scholarly journals Composition operators on Lorentz spaces

2007 ◽  
Vol 76 (2) ◽  
pp. 205-214 ◽  
Author(s):  
S. C. Arora ◽  
Gopal Datt ◽  
Satish Verma
Keyword(s):  
Composition Operators ◽  
Lorentz Spaces

Fredholm, injective, isometric and surjective composition operators on Lorentz spaces L(p, q) are characterised in this paper.

Composition Operators on Orlicz–Lorentz Spaces

2007 ◽  
Vol 60 (1) ◽  
pp. 79-88 ◽  
Author(s):  
Rajeev Kumar ◽  
Romesh Kumar
Keyword(s):  
Composition Operators ◽  
Lorentz Spaces
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