Geodesic
Interpolation Theorems for Nonlinear Operators in General Morrey-Type Spaces and Their Applications
Informatics and Automation, Function Spaces, Approximation Theory, and Related Problems of Analysis, Tome 312 (2021), pp. 131-157.

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We prove new interpolation theorems for a sufficiently wide class of nonlinear operators in Morrey-type spaces. In particular, these theorems apply to Urysohn integral operators. We also obtain analogs of the Marcinkiewicz–Calderón and Stein–Weiss–Peetre interpolation theorems and establish a criterion of $(p,q)$ quasiweak boundedness of the Urysohn operator. 
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V. I. Burenkov; E. D. Nursultanov. Interpolation Theorems for Nonlinear Operators in General Morrey-Type Spaces and Their Applications. Informatics and Automation, Function Spaces, Approximation Theory, and Related Problems of Analysis, Tome 312 (2021), pp. 131-157. http://geodesic.mathdoc.fr/item/TRSPY_2021_312_a6/

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