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Modular estimates in Orlicz spaces and Hammerstein operator equations

A. V. Lebedev·P. P. Zabreiko
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Abstract

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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A. V. Lebedev, P. P. Zabreiko. 2005-10-10. Modular estimates in Orlicz spaces and Hammerstein operator equations. https://arxiv.org/abs/math/0510200

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