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2. Composition operators of summable functions spaces

Author

Virginia De Cicco and Giuseppe Marino

Subjects
Mathematics, QA1-939
Abstract

A composition operator is a linear operator CT on a subspace of KX by a point transformation T on a set X (where K denotes the scalar field) by the formula CT f(x) :=f ∘ T(x). We give some necessary and/or sufficient conditions under which the map T induces a continuous composition operator on suitable topological subspaces of summable functions of KX as Lp or W1,p.

Published
1989

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