Geodesic
Integral operators on grand Lebesgue spaces and related weights with properties
Filomat, Tome 37 (2023) no. 6, p. 1767

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DOI

A number of properties for the classes B−1p and B∗p have been proved. The class B−1p characterizes the Lp- inequality involving the averaging operator and the class B∗p characterizes the Lp- inequality involving the adjoint averaging operator. The reverse inequalities involving the integral operators in Lp)w have also been studied.
DOI : 10.2298/FIL2306767K
Classification : 26D10, 26D15, 46E35
Keywords: Bp-class, B−1p -class, B∗p-class, Averaging operator, Adjoint averaging operator, Lebesgue spaces, Grand Lebesgue spaces 
Santosh Kaushik; Taqseer Khan; Harindri Chaudhary. Integral operators on grand Lebesgue spaces and related weights with properties. Filomat, Tome 37 (2023) no. 6, p. 1767 . doi: 10.2298/FIL2306767K
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     title = {Integral operators on grand {Lebesgue} spaces and related weights with properties},
     journal = {Filomat},
     pages = {1767 },
     year = {2023},
     volume = {37},
     number = {6},
     doi = {10.2298/FIL2306767K},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2306767K/}
}
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