On a Convolution Conjecture of Bounded Functions
نویسندگان
چکیده
We consider the convolution P (A,B) ? P (C,D) of the classes of analytic functions subordinated to the homographies 1+Az 1−Bz and 1+Cz 1−Dz respectively, where A,B, C, D are some complex numbers. In 1988 J. Stankiewicz and Z. Stankiewicz [11] showed that for certain A,B, C, D there exist X, Y such that P (A,B) ? P (C,D) ⊂ P (X, Y ). In this paper we verify the conjecture that P (X, Y ) ⊂ (A,B) ? P (C,D) for some A,B, C, D, X, Y.
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