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SOOCHOW JOURNAL OF MATHEMATICS

Volume 33, No. 4, pp. 543-551, October 2007




FUNCTIONS WHOSE COMPOSITION WITH BAIRE

CLASS ONE FUNCTIONS ARE BAIRE CLASS ONE


BY


DONGSHENG ZHAO




Abstract. We study the functions whose composition with Baire class one functions are Baire class one functions. We first prove some characterizations of such functions, then investigate a subclass of such functions which are defined in a natural way.

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Received June 9, 2005; revised December 15, 2006; April 16, 2007.

AMS Subject Classification. 26A21, 26A15.

Key words. Baire class one function, $ k$-continuous function, right $ B_1$ compositor.