In this paper, we characterize the boundedness of weighted composition operators, induced by measurable transformations and complex-valued measurable functions, on variable exponent Lebesgue spaces. We also derive conditions for these operators to be compact or injective or have closed range. In addition, we investigate some relations between these operators and multiplication operators.
Weighted composition operators on variable exponent Lebesgue spaces / Datt, G.; Bajaj, D. S.; Fiorenza, A.. - In: ADVANCES IN OPERATOR THEORY. - ISSN 2538-225X. - 9:3(2024), pp. 1-23. [10.1007/s43036-024-00366-1]
Weighted composition operators on variable exponent Lebesgue spaces
Fiorenza A.
2024
Abstract
In this paper, we characterize the boundedness of weighted composition operators, induced by measurable transformations and complex-valued measurable functions, on variable exponent Lebesgue spaces. We also derive conditions for these operators to be compact or injective or have closed range. In addition, we investigate some relations between these operators and multiplication operators.File in questo prodotto:
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