Zeitschrift für Analysis und ihre Anwendungen
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Published online: 1999-12-31
Limits of Inner Superposition Operators and Young MeasuresLuigi De Pascale (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