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 ...
Let S be a complete and separable metric space and μ a σ-finite, complete Borel measure on S with $\mu(S) > 0$. Let Φ be the family of all real-valued functions defined on S whose set of points of ...
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