Interpolation Theorems for Nonlinear Operators in General Morrey-Type Spaces and Their Applications
2021
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–Calderon and Stein–Weiss–Peetre interpolation theorems and establish a criterion of $$(p,q)$$
quasiweak boundedness of the Urysohn operator.
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