Turkish Journal of Mathematics
Abstract
Lebesgue spaces with the variable rate of summability are considered in this work. Generalizations of Riesz and Paley theorems are proved in these spaces. The obtained results are applied, in particular, to a classical exponential system.
DOI
10.3906/mat-1904-2
Keywords
Riesz and Paley theorems, Fourier series, Lebesgue spaces with variable exponent, exponential system
First Page
1757
Last Page
1767
Recommended Citation
ISMAILOV, MIQDAD
(2020)
"On Hausdorff-Young inequalities in generalized Lebesgue spaces,"
Turkish Journal of Mathematics: Vol. 44:
No.
5, Article 18.
https://doi.org/10.3906/mat-1904-2
Available at:
https://journals.tubitak.gov.tr/math/vol44/iss5/18