Geodesic
Kuelbs-Steadman spaces with bounded variable exponents
Filomat, Tome 36 (2022) no. 13, p. 4375

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DOI

Kuelbs-Steadman spaces are studied within the framework of Henstock-Kurzweil integrable function spaces with bounded variable exponent. We describe a relationship between the Lebesgue spaces with bounded variable exponents and variable Kuelbs-Steadman spaces. The geometrical properties of the spaces are studied. Finally, we discuss the boundedness behaviour of the maximal operator on variable Kuelbs-Steadman spaces.
DOI : 10.2298/FIL2213375K
Classification : 46E30, 46E35, 46B20, 46A80
Keywords: Kuelbs-Steadman spaces, Reflexivity, uniform convexity, Dense embeddings, Maximal operators 
Hemanta Kalita. Kuelbs-Steadman spaces with bounded variable exponents. Filomat, Tome 36 (2022) no. 13, p. 4375 . doi: 10.2298/FIL2213375K
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     author = {Hemanta Kalita},
     title = {Kuelbs-Steadman spaces with bounded variable exponents},
     journal = {Filomat},
     pages = {4375 },
     year = {2022},
     volume = {36},
     number = {13},
     doi = {10.2298/FIL2213375K},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2213375K/}
}
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