Kaya, Esra2022-12-282022-12-282022https://doi.org/10.31801/cfsuasmas.1030942http://hdl.handle.net/20.500.12575/86533By using the L p ( ⋅ ) − boundedness of a maximal operator defined on homogeneous space, it has been shown that the B − maximal operator is bounded. In the present paper, we aim to bring a different approach to the boundedness of the B − maximal operator generated by generalized translation operator under a continuity assumption on p ( ⋅ ) . It is noteworthy to mention that our assumption is weaker than uniform Hölder continuity.enMaximal operator, singular integrals, variable Lebesgue spaceArticle7137107191303-5991