Geodesic
On some classes of weighted composition operators
Glasgow mathematical journal, Tome 32 (1990) no. 1, pp. 87-94

Voir la notice de l'article provenant de la source Cambridge University Press

Let (X, Σμ) denote a complete a-finite measure space and T: X → X a measurable (T-1A ε Σ each A ε Σ) point transformation from X into itself with the property that the measure μ°T-1 is absolutely continuous with respect to μ. Given any measurable, complex-valued function w(x) on X, and a function f in L2(μ), define WTf(x) via the equation 
Campbell, James T.; Jamison, James E. On some classes of weighted composition operators. Glasgow mathematical journal, Tome 32 (1990) no. 1, pp. 87-94. doi: 10.1017/S0017089500009095
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