<abstract xmlns="http://www.w3.org/1999/xhtml"><p> The basis of our considerations is a characterization of Baire class one functions presented by [Pen-Yee Lee - Wee-Kee Tang - Doingsheng Zhao: <italic>An equivalent definition of functions of the first Baire class</italic>, in: Proc. Amer. Math. Soc., Vol. 129, 2000, pp. 2273-2275]. In the first part of this paper, we will prove an analogous characterization for functions belonging to the class   . In the last part, we will consider various classes of functions connected with the characterization mentioned above, which permits to give a new characterization of Baire class one functions.</p></abstract>

The basis of our considerations is a characterization of Baire class one functions presented by [Pen-Yee Lee - Wee-Kee Tang - Doingsheng Zhao: An equivalent definition of functions of the first Baire class, in: Proc. Amer. Math. Soc., Vol. 129, 2000, pp. 2273-2275]. In the first part of this paper, we will prove an analogous characterization for functions belonging to the class   . In the last part, we will consider various classes of functions connected with the characterization mentioned above, which permits to give a new characterization of Baire class one functions.

On some characterizations of Baire class one functions and Baire class one like functions

Faculty of Mathematics and Informatics Łódź University Banacha 22 90-238 Łódź POLAND

Tatra Mountains Mathematical Publications

The basis of our considerations is a characterization of Baire class one functions presented by [Pen-Yee Lee - Wee-Kee Tang - Doingsheng Zhao: An equivalent...

On some characterizations of Baire class one functions and Baire class one like functions

Published Online: Nov 13, 2012

Page range: 91 - 106

DOI: https://doi.org/10.2478/v10127-010-0024-7

Keywords
Baire one function. B<sub>1</sub>**-function, uniformly continuous function, lower semicontinuous function, weakly lower semicontinuous function, upper semicontinuous function.

This content is open access.

On some characterizations of Baire class one functions and Baire class one like functions

Published Online: Nov 13, 2012

Page range: 91 - 106

DOI: https://doi.org/10.2478/v10127-010-0024-7

KeywordsBaire one function. B<sub>1</sub>**-function, uniformly continuous function, lower semicontinuous function, weakly lower semicontinuous function, upper semicontinuous function.

This content is open access.

Keywords
Baire one function. B<sub>1</sub>**-function, uniformly continuous function, lower semicontinuous function, weakly lower semicontinuous function, upper semicontinuous function.