Geodesic
Modular estimates in orlicz spaces and~Hammerstein operator equations
Trudy Instituta matematiki, Tome 20 (2012) no. 1, pp. 50-59

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Certain inequalities between the values of the modular and the norm in the Orlicz spaces are established. These inequalities are applied then to the theory of solvability of nonlinear integral equations of Hammerstein type. 
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     author = {P. P. Zabreiko and A. V. Lebedev},
     title = {Modular estimates in orlicz spaces {and~Hammerstein} operator equations},
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P. P. Zabreiko; A. V. Lebedev. Modular estimates in orlicz spaces and~Hammerstein operator equations. Trudy Instituta matematiki, Tome 20 (2012) no. 1, pp. 50-59. http://geodesic.mathdoc.fr/item/TIMB_2012_20_1_a5/