Special para-f-structures on Lie groups are studied. It is shown that every para-f-Lie group G is the quotient of the product of an almost product Lie group and a Lie group with trivial para-f-structure by a discrete subgroup
In this paper the notion of a para-f-Lie algebra is introduced. It is shown that a Lie group G is the quotient of the product of an almost product Lie group and a Lie group with trivial para-f-structure by a discrete subgroup if and only if its Lie algebra g is a para-f-Lie algebra.
For a simply connected domain G properly contained in C, we apply the results of [3] and [8] to extend the results of [9] to Bergman spaces of simply connected domains A p (G). As a corollary to these results, we present characterizations of compactness of bounded composition operators on A p (G) and give an example illustrating the main results.
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