Geodesic
Substitution vector-valued integral type operators on Orlicz spaces
Filomat, Tome 35 (2021) no. 9, p. 3183

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DOI

In this paper, we consider some fundamental properties of a substitution vector-valued integral operator T u ϕ from Orlicz space L θ (µ) to Hilbert space H by the language of conditional expectation operators. First, we present necessary and sufficient conditions for boundedness and compactness T u ϕ from L θ (µ) to H. Next, we investigate the problem of conditions on the generating Young functions, the functions u, ϕ and h = d(µ • ϕ −1)/dµ, under which operator T u ϕ is of closed range or finite rank. Finally, we determine the lower and upper estimates for the essential norm of T u ϕ on Orlicz spaces under certain conditions
DOI : 10.2298/FIL2109183M
Classification : 47B07, 47B38
Keywords: Orlicz spaces, Integral operator, Compact operators, Essential norm, Conditional expectation operators 
Zahra Moayyerizadeh. Substitution vector-valued integral type operators on Orlicz spaces. Filomat, Tome 35 (2021) no. 9, p. 3183 . doi: 10.2298/FIL2109183M
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     title = {Substitution vector-valued integral type operators on {Orlicz} spaces},
     journal = {Filomat},
     pages = {3183 },
     year = {2021},
     volume = {35},
     number = {9},
     doi = {10.2298/FIL2109183M},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2109183M/}
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