Zeitschrift für Analysis und ihre Anwendungen
Vol. 18, No. 4, pp. 849-858 (1999)
Limits of Inner Superposition Operators and Young Measures
L. De PascaleL. De Pascale: Univ. di Pisa, Dept. Math., via Buonarroti 2, 56127 Pisa, Italy; email@example.com
Abstract: 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
Classification (MSC2000): 47B38, 47A67, 34K05
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