Boundary limits of spherical means for BLD and monotone BLD functions in the unit ball.
Mizuta, Yoshihiro, Shimomura, Tetsu (1999)
Annales Academiae Scientiarum Fennicae. Mathematica
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Mizuta, Yoshihiro, Shimomura, Tetsu (1999)
Annales Academiae Scientiarum Fennicae. Mathematica
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Annales Academiae Scientiarum Fennicae. Mathematica
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We provide a characterisation of monotone normality with an analogue of the Tietze-Urysohn theorem for monotonically normal spaces as well as answer a question due to San-ou concerning the extension of Urysohn functions in monotonically normal spaces. We also extend a result of van Douwen, giving a characterisation of -spaces in terms of semi-continuous functions, as well as answer another question of San-ou concerning semi-continuous Urysohn functions.
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