Cilt:71 Sayı:03 (2022)

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Browsing Cilt:71 Sayı:03 (2022) by Author "Kaya, Esra"

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    A different approach to boundedness of the B-maximal operators on the variable Lebesgue spaces
    (Ankara Üniversitesi, 2022) Kaya, Esra; Other; Other
    By 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.