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. 
@article{TRSPY_2021_312_a6,
     author = {V. I. Burenkov and E. D. Nursultanov},
     title = {Interpolation {Theorems} for {Nonlinear} {Operators} in {General} {Morrey-Type} {Spaces} and {Their} {Applications}},
     journal = {Informatics and Automation},
     pages = {131--157},
     publisher = {mathdoc},
     volume = {312},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2021_312_a6/}
}
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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/