In this paper, we generalize some results of Stein and Zygmund and of Evans and Larson concerning symmetric functions. In particular, we show that if f is Lebesgue measurable or has the Baire property ...

Grand Lebesgue spaces have emerged as a versatile framework extending the classical Lebesgue spaces, allowing for a refined control over integrability properties of functions. These spaces accommodate ...

Let $I = \lbrack 0, 1 \rbrack, \mathscr{B} =$ Lebesgue measurable subsets of [0, 1], and let $\lambda$ denote the Lebesgue measure on $(I, \mathscr{B})$. Let $\tau: I ...