Browsing by Author "Kaya, Esra"
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Item A different approach to boundedness of the B-maximal operators on the variable Lebesgue spaces(Ankara Üniversitesi, 2022) Kaya, Esra; Other; OtherBy 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.Item Fourier-Bessel transforms of Dini-Lipschitz functions on Lebesgue spaces L p , γ ( R n + )(Ankara Üniversitesi Fen Fakültesi, 2020-06-30) Ekincioğlu, İsmail; Kaya, Esra; Ekincioğlu, Şeyma; Other; OtherIn this paper, we prove a generalization of Titchmarsh's theorem for the Laplace-Bessel differential operator in the space L p , γ ( R n + ) for functions satisfying the ( ψ , p ) -Laplace-Bessel Lipschitz condition for $1