Nonlinear commutators on Morrey-Banach spaces
This paper studies the boundedness of the nonlinear commutator of Calderón-Zygmund operators on Morrey-Banach spaces. The commutator introduced by \textit{R. Rochberg} and \textit{G. Weiss} [Ann. Math. (2) 118, 315--347 (1983; Zbl 0539.46049)] has the form \(N(f)=T(f\log |f|)-T(f)\log |T(f)|\), where \(T\) is the Calderón-Zygmund operator. In particular, boundedness results on the Morrey-Lorentz spaces and the Morrey spaces with variable exponents are established.
scientific article; zbMATH DE number 7388684
scientific article