变量Lebesgue空间上b极大算子有界性的另一种方法

IF 0.7 Q2 MATHEMATICS

Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics Pub Date : 2022-09-30 DOI:10.31801/cfsuasmas.1030942

Esra Kaya

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引用次数: 1

摘要

利用齐次空间上极大算子的Lp(⋅)−Lp(⋅)−有界性，证明了B−B−极大算子是有界的。在p(⋅)p(⋅)的连续性假设下，我们给出了由广义平移算子生成的B−B−极大算子的有界性的另一种方法。值得注意的是，我们的假设弱于统一Hölder连续性。

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

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.

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Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics MATHEMATICS-

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