Kuelbs-Steadman spaces with bounded variable exponents
Abstract
Kuelbs-Steadman spaces are studied with the frame work of Henstock integrable function spaces with bounded variable exponent. We desribe a relation between the Lebesgue spaces with bounded variable exponent and variable Kuelbs-Steadman spaces. Geometrical property of the spaces are studied. Finally we discuss boundedness behaviour of maximal operator on variable Kuelbs-Steadman spaces.
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