Abstract
We study Lp-integrability (1<p<∞) of a sum φ of trigonometric series under the assumptions that the sequence of coefficients of φ belongs to the class \(\overline{\mathrm{GM}}_{\theta}^{r}\). Then we discuss the relations between the properties of φ and the properties of the sequence (λn)∈GM(β,r), and deduce an estimate for modulus of continuity of φ in Lp norm.
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