Geodesic
Compactness Properties of Carleman and Hille-Tamarkin Operators
Canadian journal of mathematics, Tome 37 (1985) no. 5, pp. 921-933

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In this paper we study integral operators with domain a Banach function space Lρ1 and range another Banach function space Lρ2 or the space L 0 of all measurable functions. Recall that a linear operator T from Lρ1 into L 0 is called an integral operator if there exists a μ × v-measurable function T(x, y) on X × Y such that Such an integral operator is called a Carleman integral operator if for almost every x ∊ X the function is an element of the associate space L′ρ1 , i.e., 
Schep, Anton R. Compactness Properties of Carleman and Hille-Tamarkin Operators. Canadian journal of mathematics, Tome 37 (1985) no. 5, pp. 921-933. doi: 10.4153/CJM-1985-050-3
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