Abstract

Abstract. In [1], the spaces ( , ) Lp,   of functions ( , ) f Lp), the sequence of Fourier coefficients in the system of exponentials of which belongs to the space l were studied, and the basis property of the system  n Z e int of exponentials in ( , ) Lp, was also considered. The Hardy classes generated by the spaces ( , ) Lp, were introduced and studied in [2]. In this paper we study analogues of these results in grand Lebesgue spaces.

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