DOI: 10.1002/mana.70230 ISSN: 0025-584X

Interpolation Theorems for Urysohn‐Type Nonlinear Operators

Victor Burenkov, Erlan Nursultanov

ABSTRACT

In this paper, we establish interpolation theorems for generalized Morrey‐type spaces for a broad class of nonlinear operators, namely, Urysohn‐type operators. Using these results, we prove Marcinkiewicz‐ and Stein–Weiss‐type interpolation theorems for such operators.

More from our Archive