Weighted norm inequalities and uniform algebras. II (Q915076)

The generalization of the classical conjugation operator can be defined on a general uniform algebra. In the previous paper, one weighted problems for the conjugation operators were studied. In this paper, two weighted problems are considered. Unlike the one weight case, the weights have forms same to the classical case in a uniform algebra which consists of rational functions on a compact finitely connected subset of the complex plane. A generalization is given for a polydisc algebra, too. [For part I see Proc. Am. Math. Soc. 103, No.2, 507-512 (1988; Zbl 0672.46028).]