Affiliation:
1. BILECIK SEYH EDEBALI UNIVERSITY, FACULTY OF ARTS AND SCIENCES
Abstract
By using the Lp(⋅)−Lp(⋅)−boundedness of a maximal operator defined on homogeneous space, it has been shown that the B−B−maximal operator is bounded. In the present paper, we aim to bring a different approach to the boundedness of the B−B−maximal operator generated by generalized translation operator under a continuity assumption on p(⋅)p(⋅). It is noteworthy to mention that our assumption is weaker than uniform Hölder continuity.
Publisher
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
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