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On Tu-Toeplitzness of weighted composition operators on H2

초록/요약

In this paper, we show that (Formula presented.) is (Formula presented.) -Toeplitz if and only if (Formula presented.) , where (Formula presented.) is a nonconstant inner function. We also provide necessary and sufficient conditions for (Formula presented.) -Toeplitzness of (Formula presented.). Indeed, (Formula presented.) is (Formula presented.) -Toeplitz if and only if (Formula presented.) is an inner function. Finally, we study several conditions for the product (Formula presented.) to be Toeplitz. © 2015 Taylor & Francis.

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