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Zeitschrift für Analysis und ihre Anwendungen


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Volume 18, Issue 4, 1999, pp. 849–858
DOI: 10.4171/ZAA/918

Published online: 1999-12-31

Limits of Inner Superposition Operators and Young Measures

Luigi De Pascale[1]

(1) Università di Pisa, Italy

We apply some well known theorems from the theory of Young measures to the theory of inner superposition (composition) operators. We give an explicit characterization of the limit operator of a weak-convergent sequence of inner superposition operators between Lebesgue spaces.

Keywords: Inner superposition operators, weak limits of operator sequences

De Pascale Luigi: Limits of Inner Superposition Operators and Young Measures. Z. Anal. Anwend. 18 (1999), 849-858. doi: 10.4171/ZAA/918