Journal of Operator Theory

Volume 33, Issue 2, Spring 1995 pp. 363-369.

Composition operators between Bergman spaces on convex domains in C^n

Authors: Joseph A. Cima (1) and Peter R. Mercer (2)
Author institution:(1) Department of Mathematics, University of North Carolina, Chapel Hill, NC 27599-3250, U.S.A.
(2) Department of Mathematics, University of North Carolina, Chapel Hill, NC 27599-3250, U.S.A.

Summary: We prove a Carleson measure theorem for the Bergman spaces associated with a strictly pseudoconvex domain in $\mathbb C^n$. We use the theorem to study composition operators between Bergman spaces associated with a strongly convex domain in $\mathbb C^n$.

Keywords: Bergman space, composition operators.

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