A different approach to boundedness of the B-maximal operators on the variable Lebesgue spaces

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چکیده

By using the Lp(⋅)−Lp(⋅)−boundedness of a maximal operator defined on homogeneous space, it has been shown that B−B−maximal is bounded. In present paper, we aim to bring different approach boundedness generated by generalized translation under continuity assumption p(⋅)p(⋅). It noteworthy mention our weaker than uniform Hölder continuity.

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ژورنال

عنوان ژورنال: Communications Faculty of Sciences University of Ankara. Series A1: mathematics and statistics

سال: 2022

ISSN: ['1303-5991']

DOI: https://doi.org/10.31801/cfsuasmas.1030942