Abstract. The sharp bounds of exponents, for which inclusions of Muckenhoupt classes in Gehring classes are valid, are obtained for the one-dimensional case.

AMS Subject Classification (1991): 46E30, 26A48

Keyword(s): Muckenhoupt classes, Gehring classes, reverse Hölder inequality

Received September 5, 2000, and in revised form November 12, 2001. (Registered under 2839/2009.)